# maxLikelihoodETAS: Estimate the parameters of the ETAS model using maximum... In bayesianETAS: Bayesian Estimation of the ETAS Model for Earthquake Occurrences

## Description

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to quantify the degree of seismic activity in a geographical region, and to forecast the occurrence of future mainshocks and aftershocks (Ross 2016). The temporal ETAS model is a point process where the probability of an earthquake occurring at time t depends on the previous seismicity Ht, and is defined by the conditional intensity function:

λ(t|Ht) = μ + ∑ κ(m[i]|K,α) h(t[i]|c,p)

where

κ(m[i]|K,α) = K * exp(α(m[i]-M0))

and

h(t[i]|c,p) = (p-1) * c^(p-1) * (t-t[i]+c)^(-p)

where the summation is over all previous earthquakes that occurred in the region, with the i'th such earthquake occurring at time t[i] and having magnitude m[i]. The quantity M0 denotes the magnitude of completeness of the catalog, so that m[i] ≥ M0 for all i. The temporal ETAS model has 5 parameters: μ controls the background rate of seismicity, K and α determine the productivity (average number of aftershocks) of an earthquake with magnitude m, and c and p are the parameters of the Modified Omori Law (which has here been normalized to integrate to 1) and represent the speed at which the aftershock rate decays over time. Each earthquake is assumed to have a magnitude which is an independent draw from the Gutenberg-Richter law p(m) = β * exp(β(m-M0).

This function estimates the parameters of the ETAS model using maximum likelihood

## Usage

 `1` ```maxLikelihoodETAS(ts, magnitudes, M0, T, initval = NA, displayOutput = TRUE) ```

## Arguments

 `ts` Vector containing the earthquake times `magnitudes` Vector containing the earthquake magnitudes `M0` Magnitude of completeness. `T` Length of the time window [0,T] the catalog was observed over. If not specified, will be taken as the time of the last earthquake. `initval` Initial value at which to start the estimation. A vector, with elements (mu, K, alpha, c, p) `displayOutput` If TRUE then prints the out the likelihood during model fitting.

## Value

A list consisting of

 `params` A vector containing the estimated parameters, in the order (mu,K,alpha,c,p,beta) `loglik` The corresponding loglikelihood

Gordon J Ross

## References

Gordon J. Ross - Bayesian Estimation of the ETAS Model for Earthquake Occurrences (2016), available from http://www.gordonjross.co.uk/bayesianetas.pdf

## Examples

 ```1 2 3 4 5 6``` ```## Not run: beta <- 2.4; M0 <- 3; T <- 500 catalog <- simulateETAS(0.2, 0.2, 1.5, 0.5, 2, beta, M0, T) maxLikelihoodETAS(catalog\$ts, catalog\$magnitudes, M0, 500) ## End(Not run) ```

### Example output

```[1] "1 events generated so far"
[1] "2 events generated so far"
[1] "3 events generated so far"
[1] "4 events generated so far"
[1] "5 events generated so far"
[1] "6 events generated so far"
[1] "7 events generated so far"
[1] "8 events generated so far"
[1] "9 events generated so far"
[1] "10 events generated so far"
[1] "11 events generated so far"
[1] "12 events generated so far"
[1] "13 events generated so far"
[1] "14 events generated so far"
[1] "15 events generated so far"
[1] "16 events generated so far"
[1] "17 events generated so far"
[1] "18 events generated so far"
[1] "19 events generated so far"
[1] "20 events generated so far"
[1] "21 events generated so far"
[1] "22 events generated so far"
[1] "23 events generated so far"
[1] "24 events generated so far"
[1] "25 events generated so far"
[1] "26 events generated so far"
[1] "27 events generated so far"
[1] "28 events generated so far"
[1] "29 events generated so far"
[1] "30 events generated so far"
[1] "31 events generated so far"
[1] "32 events generated so far"
[1] "33 events generated so far"
[1] "34 events generated so far"
[1] "35 events generated so far"
[1] "36 events generated so far"
[1] "37 events generated so far"
[1] "38 events generated so far"
[1] "39 events generated so far"
[1] "40 events generated so far"
[1] "41 events generated so far"
[1] "42 events generated so far"
[1] "43 events generated so far"
[1] "44 events generated so far"
[1] "45 events generated so far"
[1] "46 events generated so far"
[1] "47 events generated so far"
[1] "48 events generated so far"
[1] "49 events generated so far"
[1] "50 events generated so far"
[1] "51 events generated so far"
[1] "52 events generated so far"
[1] "53 events generated so far"
[1] "54 events generated so far"
[1] "55 events generated so far"
[1] "56 events generated so far"
[1] "57 events generated so far"
[1] "58 events generated so far"
[1] "59 events generated so far"
[1] "60 events generated so far"
[1] "61 events generated so far"
[1] "62 events generated so far"
[1] "63 events generated so far"
[1] "64 events generated so far"
[1] "65 events generated so far"
[1] "66 events generated so far"
[1] "67 events generated so far"
[1] "68 events generated so far"
[1] "69 events generated so far"
[1] "70 events generated so far"
[1] "71 events generated so far"
[1] "72 events generated so far"
[1] "73 events generated so far"
[1] "74 events generated so far"
[1] "75 events generated so far"
[1] "76 events generated so far"
[1] "77 events generated so far"
[1] "78 events generated so far"
[1] "79 events generated so far"
[1] "80 events generated so far"
[1] "81 events generated so far"
[1] "82 events generated so far"
[1] "83 events generated so far"
[1] "84 events generated so far"
[1] "85 events generated so far"
[1] "86 events generated so far"
[1] "87 events generated so far"
[1] "88 events generated so far"
[1] "89 events generated so far"
[1] "90 events generated so far"
[1] "91 events generated so far"
[1] "92 events generated so far"
[1] "93 events generated so far"
[1] "94 events generated so far"
[1] "95 events generated so far"
[1] "96 events generated so far"
[1] "97 events generated so far"
[1] "98 events generated so far"
[1] "99 events generated so far"
[1] "100 events generated so far"
[1] "101 events generated so far"
[1] "102 events generated so far"
[1] "103 events generated so far"
[1] "104 events generated so far"
[1] "105 events generated so far"
[1] "106 events generated so far"
[1] "107 events generated so far"
[1] "108 events generated so far"
[1] "109 events generated so far"
[1] "110 events generated so far"
[1] "111 events generated so far"
[1] "112 events generated so far"
[1] "113 events generated so far"
[1] "114 events generated so far"
[1] "115 events generated so far"
[1] "116 events generated so far"
[1] "117 events generated so far"
[1] "118 events generated so far"
[1] "119 events generated so far"
[1] "120 events generated so far"
[1] "121 events generated so far"
[1] "122 events generated so far"
[1] "123 events generated so far"
[1] "124 events generated so far"
[1] "125 events generated so far"
[1] "126 events generated so far"
[1] "127 events generated so far"
[1] "128 events generated so far"
[1] "129 events generated so far"
[1] "130 events generated so far"
[1] "131 events generated so far"
[1] "132 events generated so far"
[1] "133 events generated so far"
[1] "134 events generated so far"
[1] "135 events generated so far"
[1] "136 events generated so far"
[1] "137 events generated so far"
[1] "138 events generated so far"
[1] "139 events generated so far"
[1] "140 events generated so far"
[1] "141 events generated so far"
[1] "142 events generated so far"
[1] "143 events generated so far"
[1] "144 events generated so far"
[1] "145 events generated so far"
[1] "146 events generated so far"
[1] "147 events generated so far"
[1] "148 events generated so far"
[1] "149 events generated so far"
[1] "150 events generated so far"
[1] "151 events generated so far"
[1] "152 events generated so far"
[1] "153 events generated so far"
[1] "154 events generated so far"
[1] "155 events generated so far"
[1] "156 events generated so far"
[1] "157 events generated so far"
[1] "158 events generated so far"
[1] "159 events generated so far"
[1] "160 events generated so far"
[1] "161 events generated so far"
[1] "162 events generated so far"
[1] "163 events generated so far"
[1] "164 events generated so far"
[1] "165 events generated so far"
[1] "166 events generated so far"
[1] "167 events generated so far"
[1] "168 events generated so far"
[1] "169 events generated so far"
[1] "170 events generated so far"
[1] "171 events generated so far"
[1] "172 events generated so far"
[1] "173 events generated so far"
[1] "174 events generated so far"
[1] "175 events generated so far"
[1] "176 events generated so far"
[1] "177 events generated so far"
[1] "178 events generated so far"
[1] "179 events generated so far"
[1] "180 events generated so far"
[1] "181 events generated so far"
[1] "182 events generated so far"
[1] "183 events generated so far"
[1] "184 events generated so far"
[1] "185 events generated so far"
[1] "186 events generated so far"
[1] "187 events generated so far"
[1] "188 events generated so far"
[1] "189 events generated so far"
[1] "190 events generated so far"
[1] "191 events generated so far"
[1] "192 events generated so far"
[1] "193 events generated so far"
[1] "194 events generated so far"
[1] "195 events generated so far"
[1] "196 events generated so far"
[1] "197 events generated so far"
[1] "198 events generated so far"
[1] "199 events generated so far"
[1] "200 events generated so far"
[1] "201 events generated so far"
[1] "202 events generated so far"
[1] "203 events generated so far"
[1] "204 events generated so far"
[1] "205 events generated so far"
[1] "206 events generated so far"
[1] "207 events generated so far"
[1] "208 events generated so far"
[1] "209 events generated so far"
[1] "210 events generated so far"
[1] "211 events generated so far"
[1] "212 events generated so far"
[1] "213 events generated so far"
[1] "214 events generated so far"
[1] "215 events generated so far"
[1] "216 events generated so far"
[1] "217 events generated so far"
[1] "218 events generated so far"
[1] "219 events generated so far"
[1] "220 events generated so far"
[1] "221 events generated so far"
[1] "222 events generated so far"
[1] "223 events generated so far"
[1] "224 events generated so far"
[1] "225 events generated so far"
[1] "226 events generated so far"
[1] "227 events generated so far"
[1] "228 events generated so far"
[1] "229 events generated so far"
[1] "230 events generated so far"
[1] "231 events generated so far"
[1] "232 events generated so far"
[1] "233 events generated so far"
[1] "234 events generated so far"
[1] "235 events generated so far"
[1] "236 events generated so far"
[1] "237 events generated so far"
[1] "238 events generated so far"
[1] "239 events generated so far"
[1] "240 events generated so far"
[1] "241 events generated so far"
[1] "242 events generated so far"
[1] "243 events generated so far"
[1] "244 events generated so far"
[1] "245 events generated so far"
[1] "246 events generated so far"
[1] "247 events generated so far"
[1] "248 events generated so far"
[1] "249 events generated so far"
[1] "250 events generated so far"
[1] "251 events generated so far"
[1] "252 events generated so far"
[1] "253 events generated so far"
[1] "254 events generated so far"
[1] "255 events generated so far"
[1] "256 events generated so far"
[1] "257 events generated so far"
[1] "258 events generated so far"
[1] "259 events generated so far"
[1] "260 events generated so far"
[1] "261 events generated so far"
[1] "262 events generated so far"
[1] "263 events generated so far"
[1] "264 events generated so far"
[1]   0.5260   0.5000   0.5000   1.0000   2.0000 361.0919
[1]   0.7260   0.5000   0.5000   1.0000   2.0000 415.5825
[1]   0.526   0.700   0.500   1.000   2.000 381.733
[1]   0.5260   0.5000   0.7000   1.0000   2.0000 361.9571
[1]   0.5260   0.5000   0.5000   1.2000   2.0000 365.1146
[1]   0.5260   0.5000   0.5000   1.0000   2.2000 356.4086
[1]   0.3260   0.5800   0.5800   1.0800   2.0800 324.0175
[1]   0.1260   0.6200   0.6200   1.1200   2.1200 307.4433
[1]   0.366   0.348   0.628   1.128   2.128 321.490
[1]   0.4060   0.4360   0.5960   1.0960   2.0960 329.9646
[1]   0.3020   0.4872   0.6792   0.8992   2.1792 309.1908
[1]   0.3580   0.4904   0.6344   0.9744   2.1344 320.4542
[1]   0.21240   0.48208   0.47088   1.05888   2.25088 305.81061
[1]   0.05560   0.47312   0.35632   1.08832   2.37632 338.39783
[1]   0.086960   0.474912   0.659232   1.082432   2.351232 311.852775
[1]   0.196720   0.481184   0.619424   1.061824   2.263424 301.918350
[1]   0.3833120   0.4918464   0.5517504   1.0267904   2.1941504 325.3754276
[1]   0.0979360   0.4755392   0.6552512   1.0803712   2.1824512 308.9095494
[1]   0.169280   0.479616   0.629376   1.066976   2.185376 302.540966
[1]   0.036560   0.672032   0.579552   0.954752   2.271552 330.600424
[1]   0.283640   0.429008   0.615888   1.084688   2.163888 309.272639
[1]   0.118920   0.591024   0.591664   0.998064   2.235664 306.584779
[1]   0.16010   0.55052   0.59772   1.01972   2.21772 303.37634
[1]   0.04380   0.55816   0.49576   1.23176   2.23576 327.81141
[1]   0.23745   0.50494   0.63334   0.98234   2.19334 304.21161
[1]   0.264380   0.379336   0.560296   0.955896   2.324296 305.233549
[1]   0.229785   0.439502   0.575222   0.996922   2.273222 303.055042
[1]   0.1849340   0.5002248   0.7511528   0.9922328   2.2023528 299.8510338
[1]   0.1712010   0.5092972   0.8912892   0.9589092   2.1780892 299.3943057
[1]   0.1333844   0.4791077   0.6918725   1.0594005   2.2537925 302.3602999
[1]   0.1594008   0.4855658   0.6772394   1.0401354   2.2386794 300.9728392
[1]   0.2104547   0.4075460   0.7593002   1.0301866   2.2377962 298.8312810
[1]   0.2356321   0.3360590   0.8400903   1.0354199   2.2478343 298.8100941
[1]   0.1431086   0.4771868   0.8877456   1.0683838   2.1721392 298.5145379
[1]   0.09977033   0.49602916   1.04400734   1.10411470   2.12159774
[6] 301.89935557
[1]   0.1931450   0.4361011   0.9369394   0.9988929   2.2546904 295.3627786
[1]   0.2050775   0.4143436   1.0907211   0.9648514   2.2893476 294.0409766
[1]   0.1690480   0.4077969   1.1354102   0.9652559   2.1870119 293.1426798
[1]   0.1552119   0.3711034   1.3934033   0.9169718   2.1488058 294.8734933
[1]   0.2102260   0.3723076   1.2608632   0.9569927   2.1910895 292.8706590
[1]   0.2356386   0.3156786   1.5526751   0.9154214   2.1672946 297.6093522
[1]   0.2140358   0.2937804   1.1946429   1.0374523   2.2568798 288.8282096
[1]   0.2354532   0.1860220   1.3463198   1.0767238   2.2962751 290.9107929
[1]   0.1409662   0.4501072   1.3876629   0.9617545   2.1907529 309.2702614
[1]   0.2119656   0.3645710   0.9769835   1.0170036   2.2335640 293.6368726
[1]   0.2610326   0.2639331   1.3757028   0.9082385   2.2910180 286.5897146
[1]   0.3199946   0.1573062   1.6196814   0.8281659   2.3504574 284.8945762
[1]   0.2450306   0.2239613   1.3843114   0.9570967   2.1982534 286.1789827
[1]   0.2350423   0.2715568   1.3109138   0.9590354   2.2210269 286.8507655
[1]   0.2513684   0.2174899   1.6609802   0.8809818   2.2399128 284.7937157
[1]   0.2710698   0.1439494   2.0029786   0.8129710   2.2430872 286.0771188
[1]   0.32721421   0.09814125   1.71278146   0.89901991   2.30762528
[6] 291.47147350
[1]   0.2876726   0.1755552   1.5684386   0.9155789   2.2774719 284.3182345
[1]   0.31701479   0.05492955   1.71035867   0.89071754   2.33810060
[6] 314.79955354
[1]   0.2369232   0.2929631   1.3732371   0.9404239   2.2278423 287.7550204
[1]   0.3223599   0.1331299   1.8480166   0.7714466   2.2606953 283.2830726
[1]   0.37652200   0.05280466   2.17470336   0.63844382   2.26260305
[6] 288.63867100
[1]   0.33364724   0.07001388   1.85933424   0.80088408   2.30287403
[6] 293.53908230
[1]   0.2611042   0.2372258   1.4947614   0.9055390   2.2466002 285.1858152
[1]   0.3319694   0.1443216   1.8924399   0.7635881   2.3518017 286.4452576
[1]   0.2667653   0.2040513   1.5113435   0.9087196   2.2366405 284.0902982
[1]   0.3181601   0.1177872   1.7886228   0.8164182   2.2994709 283.5275650
[1]   0.3038961   0.1476469   1.7151574   0.8386984   2.2862532 282.8166264
[1]   0.2528303   0.1938431   1.7018931   0.8980042   2.1699321 283.2109928
[1]   0.2696214   0.1847089   1.6813402   0.8805447   2.2150634 282.7785929
[1]   0.3287578   0.1205469   1.6687383   0.8450134   2.2705369 288.3145002
[1]   0.2707157   0.1932542   1.6629197   0.8719897   2.2475688 283.1674285
[1]   0.2856707   0.1695613   1.7990723   0.7929807   2.2210166 283.7700966
[1]   0.2861712   0.1710598   1.7414139   0.8236302   2.2351304 282.9078406
[1]   0.3143405   0.1278685   1.9481956   0.7658043   2.2612441 283.4558806
[1]   0.3024467   0.1469142   1.8389826   0.8015331   2.2550932 282.8553880
[1]   0.2507805   0.2043036   1.6079090   0.9151118   2.2349483 282.7245181
[1]   0.2149908   0.2398905   1.4878552   0.9869444   2.2220749 283.8370582
[1]   0.2944507   0.1485991   1.7710015   0.8318175   2.2430266 282.0418323
[1]   0.3063181   0.1262716   1.8250424   0.8117314   2.2407555 282.0956999
[1]   0.2823070   0.1618093   1.7043424   0.8834519   2.2586235 282.0909001
[1]   0.2832730   0.1641219   1.7136103   0.8684965   2.2527502 282.1552238
[1]   0.2579756   0.1919129   1.5529176   0.9383166   2.2400729 283.1984261
[1]   0.2913289   0.1581639   1.7674663   0.8357290   2.2513381 282.3681610
[1]   0.2514992   0.1953871   1.6976663   0.8999636   2.1949467 283.0751483
[1]   0.2907969   0.1595819   1.7107847   0.8540147   2.2634266 282.3416930
[1]   0.2942442   0.1482743   1.7432614   0.8475053   2.2854818 281.9114603
[1]   0.3065556   0.1300570   1.7742219   0.8309857   2.3206910 282.1935564
[1]   0.3304705   0.1062678   1.8708335   0.7858956   2.2858103 283.5781231
[1]   0.2707030   0.1797947   1.6736401   0.8828077   2.2476638 282.2472155
[1]   0.2816718   0.1610599   1.6737457   0.8841099   2.2679509 282.2171059
[1]   0.2840861   0.1603359   1.6971758   0.8720147   2.2637977 282.0869936
[1]   0.2795195   0.1599434   1.7249838   0.8730242   2.2560107 281.7047132
[1]   0.2738807   0.1601242   1.7320834   0.8825290   2.2523028 281.4348774
[1]   0.3008844   0.1318625   1.7855057   0.8441196   2.2736291 282.0418101
[1]   0.2933391   0.1438455   1.7575393   0.8537917   2.2671378 281.8639690
[1]   0.2936933   0.1426623   1.7760822   0.8316113   2.2660752 281.6023800
[1]   0.2908467   0.1474490   1.7581472   0.8445715   2.2642123 281.7012681
[1]   0.2957571   0.1370663   1.8148113   0.8268873   2.2618120 281.4696339
[1]   0.2928394   0.1428837   1.7854024   0.8381691   2.2623084 281.5834480
[1]   0.2859151   0.1441899   1.7585095   0.8651123   2.2900972 281.2732873
[1]   0.2816473   0.1419852   1.7522635   0.8817597   2.3136325 281.0377966
[1]   0.2810828   0.1419991   1.7898505   0.8631262   2.2589023 280.9652537
[1]   0.2745022   0.1388615   1.8131450   0.8709367   2.2456126 280.5918865
[1]   0.2744532   0.1444343   1.7978148   0.8636979   2.2686362 280.5701359
[1]   0.2650103   0.1447287   1.8179526   0.8686510   2.2693855 280.1590788
[1]   0.2626257   0.1464441   1.7960201   0.9006941   2.2710230 280.2730736
[1]   0.2703926   0.1454986   1.7910356   0.8834234   2.2697860 280.5156339
[1]   0.2473093   0.1557911   1.7497746   0.9349409   2.2789705 280.2377285
[1]   0.2594213   0.1511099   1.7660338   0.9079275   2.2746809 280.3512276
[1]   0.2585572   0.1310001   1.8395789   0.9002640   2.2991468 279.6109560
[1]   0.2508954   0.1164380   1.8933267   0.9091315   2.3225689 279.3590883
[1]   0.2384898   0.1389201   1.8758242   0.9119820   2.2413916 279.7175963
[1]   0.2492792   0.1396864   1.8449340   0.9044264   2.2594519 279.7028476
[1]   0.2355458   0.1423738   1.8276582   0.9362009   2.3149473 279.4248550
[1]   0.2452849   0.1414957   1.8240299   0.9198848   2.2976136 279.5338423
[1]   0.2365903   0.1331631   1.8574383   0.9206462   2.3071066 279.2565659
[1]   0.2235726   0.1265227   1.8881474   0.9306222   2.3251485 279.3264847
[1]   0.2476191   0.1147649   1.9467493   0.8806815   2.3104135 278.9733849
[1]   0.24777395   0.09425171   2.04523672   0.85355177   2.32613502
[6] 279.10755042
[1]   0.2229617   0.1138418   1.9300900   0.9517836   2.3364098 279.6276105
[1]   0.2334738   0.1215635   1.9020557   0.9310004   2.3196537 279.2273761
[1]   0.2323706   0.1116350   1.9259573   0.9266378   2.3704242 279.3214575
[1]   0.2365978   0.1186478   1.9057015   0.9210849   2.3426811 279.1300085
[1]   0.24652474   0.09945712   1.97445041   0.88881691   2.32602222
[6] 279.50921207
[1]   0.2382906   0.1316446   1.8643563   0.9243549   2.3177160 279.2111767
[1]   0.2261332   0.1314756   1.8971937   0.9219757   2.3164595 279.2867383
[1]   0.2323237   0.1277162   1.8962270   0.9187646   2.3179869 279.1463426
[1]   0.2387317   0.1125717   1.9485976   0.9097084   2.3362739 279.0361820
[1]   0.2381963   0.1177195   1.9258078   0.9124428   2.3289821 279.0459163
[1]   0.2439513   0.1205745   1.9225970   0.8908373   2.3303748 278.9440540
[1]   0.2491900   0.1200801   1.9328676   0.8707557   2.3357354 278.9217796
[1]   0.2434943   0.1058676   1.9877009   0.8760432   2.3395203 278.9283870
[1]   0.2421934   0.1123119   1.9568648   0.8881211   2.3340692 278.9265134
[1]   0.2534090   0.1036343   1.9800853   0.8693760   2.3456824 278.9612806
[1]   0.2481377   0.1096548   1.9591207   0.8817232   2.3387585 278.9207043
[1]   0.2537510   0.1091055   1.9919785   0.8513110   2.3194191 278.9462413
[1]   0.2494627   0.1114911   1.9704093   0.8687545   2.3252346 278.9024287
[1]   0.2559095   0.1147494   1.9578071   0.8463060   2.3214106 278.9479683
[1]   0.2516150   0.1142049   1.9555047   0.8621566   2.3251264 278.9022999
[1]   0.2486204   0.1123322   1.9631575   0.8679229   2.3531561 278.8220868
[1]   0.2491211   0.1111159   1.9713616   0.8615437   2.3745274 278.7826727
[1]   0.2568172   0.1143068   1.9588408   0.8498523   2.3456837 278.9058531
[1]   0.2531613   0.1138081   1.9583468   0.8594195   2.3427801 278.8679013
[1]   0.2514091   0.1040299   1.9930296   0.8626832   2.3468354 278.8758031
[1]   0.2508543   0.1080424   1.9779891   0.8647014   2.3440604 278.8502961
[1]   0.2535481   0.1138102   1.9743239   0.8449071   2.3459331 278.9313227
[1]   0.2494903   0.1106936   1.9629215   0.8725191   2.3405521 278.8654993
[1]   0.2522341   0.1116549   1.9600403   0.8593816   2.3655840 278.7891105
[1]   0.2515413   0.1116140   1.9626325   0.8617248   2.3554966 278.8125766
[1]   0.2503294   0.1079210   1.9767590   0.8648695   2.3818752 278.7715448
[1]   0.2496866   0.1047791   1.9873861   0.8662260   2.4102496 278.7625022
[1]   0.2473933   0.1047063   1.9855326   0.8703292   2.3912093 278.8114795
[1]   0.2488353   0.1069817   1.9787362   0.8676018   2.3791020 278.7895290
[1]   0.2508023   0.1063360   1.9872838   0.8552626   2.4088572 278.7438483
[1]   0.2514583   0.1041572   1.9994649   0.8466344   2.4430098 278.7564868
[1]   0.2494175   0.1083047   1.9759340   0.8593049   2.4312677 278.7177652
[1]   0.2486991   0.1084358   1.9749065   0.8566067   2.4748713 278.7249443
[1]   0.2516694   0.1098945   1.9740661   0.8530858   2.4170923 278.7337145
[1]   0.2509609   0.1091663   1.9752336   0.8567148   2.4075948 278.7338284
[1]   0.2480446   0.1045171   1.9983724   0.8587876   2.4512137 278.7654775
[1]   0.2490920   0.1063016   1.9887894   0.8589361   2.4298063 278.7405415
[1]   0.2511460   0.1031304   1.9940222   0.8555825   2.4643818 278.7467519
[1]   0.2506398   0.1051268   1.9883570   0.8570728   2.4419182 278.7305618
[1]   0.2509618   0.1096063   1.9783860   0.8472389   2.4413271 278.7472717
[1]   0.2506430   0.1083995   1.9806360   0.8519856   2.4335577 278.7310971
[1]   0.2497823   0.1088748   1.9758293   0.8568914   2.4525997 278.7187774
[1]   0.2500373   0.1082401   1.9786929   0.8564842   2.4416641 278.7206509
[1]   0.2517688   0.1099385   1.9691396   0.8524002   2.4407680 278.7105379
[1]   0.2531071   0.1117570   1.9593148   0.8491322   2.4462489 278.7091749
[1]   0.2497665   0.1070906   1.9779623   0.8566690   2.4651445 278.7164307
[1]   0.2502422   0.1077916   1.9769883   0.8557732   2.4531315 278.7129622
[1]   0.2506326   0.1083425   1.9699333   0.8592842   2.4565086 278.6983604
[1]   0.2506274   0.1083139   1.9645819   0.8629334   2.4679841 278.6924387
[1]   0.2506309   0.1128900   1.9527023   0.8565413   2.4585745 278.6961577
[1]   0.2506331   0.1109492   1.9616160   0.8566742   2.4544104 278.6972295
[1]   0.2518277   0.1107481   1.9559792   0.8565826   2.4502830 278.6860520
[1]   0.2528504   0.1116847   1.9460542   0.8564281   2.4491246 278.6836997
[1]   0.2535657   0.1126702   1.9439226   0.8530184   2.4787577 278.6833070
[1]   0.2556399   0.1148530   1.9279168   0.8498751   2.5025027 278.6982669
[1]   0.2540704   0.1151347   1.9296420   0.8554482   2.4671444 278.6836090
[1]   0.2531134   0.1132990   1.9414786   0.8555294   2.4636412 278.6804559
[1]   0.2512080   0.1117861   1.9401811   0.8646481   2.4809840 278.6756282
[1]   0.2502584   0.1118006   1.9306142   0.8724060   2.4983515 278.6955210
[1]   0.2539151   0.1102115   1.9417851   0.8604817   2.4776221 278.6929110
[1]   0.2530941   0.1108812   1.9445144   0.8594966   2.4728602 278.6804457
[1]   0.2549052   0.1158145   1.9218784   0.8527148   2.4701630 278.6896973
[1]   0.2538358   0.1139394   1.9325543   0.8552695   2.4696183 278.6793418
[1]   0.2530763   0.1133456   1.9350061   0.8587566   2.4972199 278.6760099
[1]   0.2530199   0.1129304   1.9377681   0.8581745   2.4851961 278.6746712
[1]   0.2521427   0.1124642   1.9346760   0.8642288   2.4701622 278.6792012
[1]   0.2524984   0.1125157   1.9369877   0.8614262   2.4723111 278.6752958
[1]   0.2523491   0.1115221   1.9353236   0.8640765   2.4887467 278.6850168
[1]   0.2529223   0.1128547   1.9399398   0.8576662   2.4699175 278.6755690
[1]   0.2522997   0.1147294   1.9304580   0.8593772   2.4783506 278.6735469
[1]   0.2519025   0.1166535   1.9234298   0.8593175   2.4810957 278.6788949
[1]   0.2509435   0.1119871   1.9415796   0.8652474   2.4850854 278.6726629
[1]   0.2494974   0.1110110   1.9460923   0.8702364   2.4928190 278.6790686
[1]   0.2534655   0.1142208   1.9345122   0.8561086   2.4753603 278.6787020
[1]   0.2517724   0.1123948   1.9387639   0.8625132   2.4795781 278.6728466
[1]   0.2512913   0.1129682   1.9342831   0.8650292   2.4902909 278.6717434
[1]   0.2504757   0.1130249   1.9314547   0.8687107   2.5004776 278.6748175
[1]   0.2512322   0.1134883   1.9361534   0.8627104   2.4950894 278.6726082
[1]   0.2515488   0.1132451   1.9363620   0.8623894   2.4893948 278.6713890
[1]   0.2501224   0.1131994   1.9348105   0.8676480   2.4838838 278.6710979
[1]   0.2486737   0.1133340   1.9333316   0.8723848   2.4832277 278.6750338
[1]   0.2499717   0.1107885   1.9438616   0.8697537   2.4929427 278.6823490
[1]   0.2517177   0.1137441   1.9338089   0.8619713   2.4819986 278.6707789
[1]   0.2504771   0.1136628   1.9335738   0.8664010   2.4926834 278.6698307
[1]   0.2498295   0.1142969   1.9309787   0.8683448   2.4992360 278.6702700
[1]   0.2511194   0.1147408   1.9275557   0.8641281   2.4902152 278.6700657
[1]   0.2510754   0.1140523   1.9310617   0.8644080   2.4889327 278.6698507
[1]   0.2506853   0.1141934   1.9335636   0.8640978   2.4844664 278.6701173
[1]   0.2508368   0.1138871   1.9337435   0.8643307   2.4859225 278.6697857
[1]   0.2501429   0.1141732   1.9304373   0.8675142   2.4839736 278.6693740
[1]   0.2494400   0.1146373   1.9274750   0.8700767   2.4812630 278.6704261
[1]   0.2515776   0.1146084   1.9302396   0.8622020   2.4895205 278.6712147
[1]   0.2504862   0.1135517   1.9336678   0.8662865   2.4852930 278.6698915
[1]   0.2494897   0.1139867   1.9311847   0.8696048   2.4927235 278.6702771
[1]   0.2500467   0.1139261   1.9318407   0.8676964   2.4900423 278.6695905
[1]   0.2505454   0.1143289   1.9305950   0.8658536   2.4913288 278.6693475
[1]   0.2505750   0.1147176   1.9290587   0.8656371   2.4943467 278.6697858
[1]   0.2497441   0.1139389   1.9330145   0.8683104   2.4886475 278.6694088
[1]   0.2500770   0.1139673   1.9325263   0.8673348   2.4887188 278.6692691
[1]   0.2501824   0.1144502   1.9300834   0.8666909   2.4833110 278.6691098
[1]   0.2500351   0.1148439   1.9283382   0.8668359   2.4786249 278.6695243
[1]   0.2495610   0.1144512   1.9284496   0.8697053   2.4890273 278.6696160
[1]   0.2498799   0.1143102   1.9297731   0.8683616   2.4882511 278.6692300
[1]   0.2502844   0.1145658   1.9295253   0.8666056   2.4841911 278.6688695
[1]   0.2504032   0.1148857   1.9283676   0.8660602   2.4812655 278.6690118
[1]   0.2502447   0.1144757   1.9305639   0.8664244   2.4903467 278.6692381
[1]   0.2502192   0.1144001   1.9305323   0.8666968   2.4887534 278.6690325
[1]   0.2497118   0.1143485   1.9303811   0.8684224   2.4819614 278.6694228
[1]   0.2503370   0.1143338   1.9305416   0.8664958   2.4889870 278.6690611
[1]   0.2502842   0.1148568   1.9276560   0.8666055   2.4846786 278.6690048
[1]   0.2502324   0.1146344   1.9288736   0.8667879   2.4856887 278.6689310
[1]   0.2506222   0.1146436   1.9300494   0.8649492   2.4841214 278.6693015
[1]   0.2500655   0.1143935   1.9298422   0.8675085   2.4872187 278.6690017
[1]   0.2502730   0.1144809   1.9296425   0.8669469   2.4906245 278.6689220
[1]   0.2502503   0.1144732   1.9297528   0.8668829   2.4887961 278.6688961
[1]   0.2500837   0.1146530   1.9288689   0.8672969   2.4848723 278.6688646
[1]   0.2499571   0.1148126   1.9280325   0.8676975   2.4828149 278.6689757
[1]   0.2501473   0.1146879   1.9282128   0.8673359   2.4835533 278.6690125
[1]   0.2501653   0.1146159   1.9287927   0.8671761   2.4848533 278.6689052
[1]   0.2503409   0.1147834   1.9284831   0.8663913   2.4841419 278.6688712
[1]   0.2502721   0.1146860   1.9288229   0.8666706   2.4849111 278.6688466
[1]   0.2501899   0.1145632   1.9294314   0.8670650   2.4853609 278.6687544
[1]   0.2501687   0.1145276   1.9297104   0.8672036   2.4851970 278.6686729
[1]   0.2502584   0.1145463   1.9298794   0.8666877   2.4863337 278.6687683
[1]   0.2502351   0.1145637   1.9296077   0.8668098   2.4859636 278.6687740
[1]   0.2501766   0.1147183   1.9289700   0.8669029   2.4814059 278.6689193
[1]   0.2502319   0.1145345   1.9295571   0.8668879   2.4869486 278.6688114
[1]   0.2501216   0.1146131   1.9292101   0.8672931   2.4871140 278.6687114
[1]   0.2501623   0.1146013   1.9292889   0.8671212   2.4863832 278.6687379
[1]   0.2503373   0.1145099   1.9300031   0.8666002   2.4873295 278.6687182
[1]   0.2502739   0.1145457   1.9297195   0.8667744   2.4867152 278.6687215
[1]   0.2501751   0.1144066   1.9305212   0.8671984   2.4882580 278.6686838
[1]   0.2501993   0.1144764   1.9300966   0.8670665   2.4874212 278.6686916
[1]   0.2501925   0.1145069   1.9301726   0.8671053   2.4867442 278.6685801
[1]   0.2501729   0.1144931   1.9304804   0.8672140   2.4866421 278.6684834
[1]   0.2501318   0.1144738   1.9300906   0.8675160   2.4874825 278.6685046
[1]   0.2501635   0.1144920   1.9300378   0.8673090   2.4871953 278.6685653
[1]   0.2499707   0.1144957   1.9300020   0.8679699   2.4865479 278.6685346
[1]   0.2500624   0.1144993   1.9300023   0.8676274   2.4867433 278.6685543
[1]   0.2501261   0.1143457   1.9311117   0.8675477   2.4865370 278.6684273
[1]   0.2501283   0.1142119   1.9320624   0.8676750   2.4862485 278.6683344
[1]   0.2500539   0.1144743   1.9304172   0.8678330   2.4845892 278.6683531
[1]   0.2500842   0.1144574   1.9304432   0.8676743   2.4855064 278.6684060
[1]   0.2500143   0.1143320   1.9315106   0.8680796   2.4874071 278.6682421
[1]   0.2499372   0.1142342   1.9324108   0.8685175   2.4885122 278.6681534
[1]   0.2501989   0.1142592   1.9321826   0.8675324   2.4868419 278.6682034
[1]   0.2501419   0.1143184   1.9316374   0.8676418   2.4867684 278.6682488
[1]   0.2500647   0.1141953   1.9329307   0.8679928   2.4856511 278.6681451
[1]   0.2500311   0.1140561   1.9343507   0.8682311   2.4847354 278.6681564
[1]   0.2499803   0.1140569   1.9335211   0.8686062   2.4860951 278.6680122
[1]   0.2498841   0.1138388   1.9350415   0.8693023   2.4858216 278.6679433
[1]   0.2500314   0.1138215   1.9354340   0.8685750   2.4886409 278.6682725
[1]   0.2500370   0.1139847   1.9341798   0.8683895   2.4876279 278.6681387
[1]   0.2499204   0.1139930   1.9346357   0.8690188   2.4875333 278.6679677
[1]   0.2499724   0.1140477   1.9339924   0.8686828   2.4872121 278.6680007
[1]   0.2497384   0.1138391   1.9354968   0.8697560   2.4872166 278.6680706
[1]   0.2498535   0.1139442   1.9346682   0.8692001   2.4871229 278.6680238
[1]   0.2499667   0.1137481   1.9361716   0.8690438   2.4849905 278.6680437
[1]   0.2499593   0.1138697   1.9352314   0.8689123   2.4858709 278.6680078
[1]   0.2497970   0.1136568   1.9365719   0.8699364   2.4879396 278.6680362
[1]   0.2498640   0.1137914   1.9356616   0.8694505   2.4873675 278.6679943
[1]   0.2497555   0.1137901   1.9359155   0.8699641   2.4858585 278.6678991
[1]   0.2496147   0.1136928   1.9367834   0.8707514   2.4849738 278.6679160
[1]   0.2498998   0.1137690   1.9359260   0.8694591   2.4858578 278.6678818
[1]   0.2499229   0.1136814   1.9365549   0.8695886   2.4852253 278.6678416
[1]   0.2497794   0.1137682   1.9358923   0.8700175   2.4868515 278.6678213
[1]   0.2496894   0.1137175   1.9362228   0.8705701   2.4873418 278.6677592
[1]   0.2498050   0.1138168   1.9356865   0.8699270   2.4853448 278.6677383
[1]   0.2497755   0.1138295   1.9356990   0.8701653   2.4843334 278.6676516
[1]   0.2496905   0.1135499   1.9371378   0.8708173   2.4838989 278.6678385
[1]   0.2497480   0.1136607   1.9365123   0.8703677   2.4848075 278.6677917
[1]   0.2496724   0.1136329   1.9373203   0.8709600   2.4852051 278.6677097
[1]   0.2497253   0.1136844   1.9367506   0.8705456   2.4853592 278.6677272
[1]   0.2497678   0.1136187   1.9370082   0.8706966   2.4849068 278.6675763
[1]   0.2497740   0.1135330   1.9375545   0.8710628   2.4844309 278.6674475
[1]   0.2495408   0.1136681   1.9367686   0.8716617   2.4852222 278.6675225
[1]   0.2496363   0.1136714   1.9367152   0.8711434   2.4852230 278.6675758
[1]   0.2496328   0.1136917   1.9369138   0.8714002   2.4858058 278.6674081
[1]   0.2495753   0.1137072   1.9371146   0.8719165   2.4863050 278.6672495
[1]   0.2496457   0.1136308   1.9375600   0.8717364   2.4828568 278.6673777
[1]   0.2496567   0.1136525   1.9372257   0.8714449   2.4839780 278.6674159
[1]   0.2496521   0.1137146   1.9365583   0.8716571   2.4840542 278.6671608
[1]   0.2496419   0.1137554   1.9361773   0.8720057   2.4834787 278.6669434
[1]   0.2494956   0.1134883   1.9383710   0.8731880   2.4845840 278.6670349
[1]   0.2495656   0.1135736   1.9377030   0.8724323   2.4845213 278.6671368
[1]   0.2497121   0.1135778   1.9379424   0.8723021   2.4834400 278.6668849
[1]   0.2497978   0.1135327   1.9385292   0.8726222   2.4825488 278.6666671
[1]   0.2494886   0.1137128   1.9375464   0.8735247   2.4834784 278.6666489
[1]   0.2493459   0.1138027   1.9375424   0.8747557   2.4830022 278.6663952
[1]   0.2494968   0.1136837   1.9375338   0.8740588   2.4851107 278.6661838
[1]   0.2494224   0.1137101   1.9375207   0.8752200   2.4862377 278.6656124
[1]   0.2495061   0.1136085   1.9381417   0.8752001   2.4816356 278.6660274
[1]   0.2495234   0.1136332   1.9378849   0.8743792   2.4828030 278.6662048
[1]   0.2495900   0.1138755   1.9367935   0.8747335   2.4821773 278.6656326
[1]   0.2495664   0.1137787   1.9371879   0.8743471   2.4827789 278.6659214
[1]   0.2494230   0.1136564   1.9392337   0.8770069   2.4827619 278.6655537
[1]   0.2493136   0.1136068   1.9407618   0.8795075   2.4824036 278.6655609
[1]   0.2491171   0.1139285   1.9371635   0.8781442   2.4837771 278.6651360
[1]   0.2487768   0.1141264   1.9364807   0.8809052   2.4843912 278.6647512
[1]   0.2493415   0.1137881   1.9377257   0.8784706   2.4838792 278.6644270
[1]   0.2493393   0.1137807   1.9378174   0.8803281   2.4843178 278.6635715
[1]   0.2491144   0.1140512   1.9369967   0.8800773   2.4863187 278.6638547
[1]   0.2492124   0.1139405   1.9372829   0.8788580   2.4851479 278.6643383
[1]   0.2488404   0.1138544   1.9384261   0.8826815   2.4874337 278.6637980
[1]   0.2490278   0.1138597   1.9380180   0.8806945   2.4861196 278.6641137
[1]   0.2487752   0.1140775   1.9380611   0.8851797   2.4838516 278.6639423
[1]   0.2489370   0.1139857   1.9379260   0.8826898   2.4844481 278.6639449
[1]   0.2485154   0.1142997   1.9358791   0.8866618   2.4877632 278.6627127
[1]   0.2480616   0.1146214   1.9342018   0.8914893   2.4902638 278.6621210
[1]   0.2488755   0.1140277   1.9377206   0.8869971   2.4884830 278.6616931
[1]   0.2489249   0.1139784   1.9383405   0.8900431   2.4905290 278.6603605
[1]   0.2489371   0.1140369   1.9362519   0.8846680   2.4916936 278.6612702
[1]   0.2488966   0.1140471   1.9367042   0.8847960   2.4897331 278.6618034
[1]   0.2485269   0.1140576   1.9370184   0.8916067   2.4913764 278.6606369
[1]   0.2486737   0.1140560   1.9370130   0.8887243   2.4901120 278.6612069
[1]   0.2486755   0.1143356   1.9350259   0.8925726   2.4918386 278.6594229
[1]   0.2485931   0.1145762   1.9333258   0.8975181   2.4940410 278.6581572
[1]   0.2478782   0.1147274   1.9338380   0.9018020   2.4988438 278.6584070
[1]   0.2482434   0.1144908   1.9348328   0.8964335   2.4952123 278.6590746
[1]   0.2490824   0.1139292   1.9373080   0.8947658   2.4963297 278.6567349
[1]   0.2495928   0.1135831   1.9388611   0.8964041   2.4993626 278.6544391
[1]   0.2484693   0.1143321   1.9363017   0.9062815   2.4979676 278.6571892
[1]   0.2485862   0.1142583   1.9362892   0.9008781   2.4963991 278.6573251
[1]   0.2488564   0.1144213   1.9352484   0.9052128   2.5009212 278.6544306
[1]   0.2490212   0.1146032   1.9343634   0.9120159   2.5056936 278.6522764
[1]   0.2484969   0.1147504   1.9323355   0.9155655   2.5078344 278.6532244
[1]   0.2486039   0.1145574   1.9338367   0.9091849   2.5035081 278.6541123
[1]   0.2497912   0.1140106   1.9362370   0.9093121   2.5031159 278.6520074
[1]   0.2507477   0.1136521   1.9374365   0.9130671   2.5052520 278.6509849
[1]   0.2499380   0.1137922   1.9383935   0.9198156   2.5124030 278.6488755
[1]   0.2506105   0.1134002   1.9409273   0.9309643   2.5215840 278.6466351
[1]   0.2509184   0.1136635   1.9372679   0.9209252   2.5179231 278.6449925
[1]   0.2521429   0.1133291   1.9377510   0.9282471   2.5279009 278.6415478
[1]   0.2508149   0.1143109   1.9342644   0.9435399   2.5279433 278.6492756
[1]   0.2505094   0.1141290   1.9354135   0.9317559   2.5207982 278.6475279
[1]   0.2527158   0.1128950   1.9420212   0.9308546   2.5246570 278.6459693
[1]   0.2516610   0.1133589   1.9395998   0.9270323   2.5204514 278.6457605
[1]   0.2532474   0.1125446   1.9420879   0.9404108   2.5327010 278.6461248
[1]   0.2521908   0.1130592   1.9401567   0.9333121   2.5259491 278.6452799
[1]   0.2520982   0.1132585   1.9401029   0.9474576   2.5414215 278.6406694
[1]   0.2527734   0.1130616   1.9414360   0.9646529   2.5595062 278.6382046
[1]   0.2532421   0.1123547   1.9445348   0.9419276   2.5413585 278.6397406
[1]   0.2525589   0.1127982   1.9422545   0.9393846   2.5362184 278.6409205
[1]   0.2541937   0.1126652   1.9404640   0.9471045   2.5484824 278.6397276
[1]   0.2532979   0.1128489   1.9405799   0.9430694   2.5417578 278.6400919
[1]   0.2541561   0.1124290   1.9421373   0.9590653   2.5608275 278.6365077
[1]   0.2554037   0.1119641   1.9434060   0.9750818   2.5810155 278.6351251
[1]   0.2549115   0.1122907   1.9428800   0.9694935   2.5773562 278.6321935
[1]   0.2562718   0.1119064   1.9442417   0.9875841   2.6030598 278.6293136
[1]   0.2566110   0.1114517   1.9478820   0.9982932   2.6054681 278.6381040
[1]   0.2554940   0.1119210   1.9453493   0.9807817   2.5860763 278.6354332
[1]   0.2564125   0.1122527   1.9414240   1.0001545   2.6098976 278.6348348
[1]   0.2556199   0.1122782   1.9422017   0.9855977   2.5927628 278.6339737
[1]   0.2560315   0.1117874   1.9461898   1.0103748   2.6204859 278.6315274
[1]   0.2555720   0.1120068   1.9447584   0.9945572   2.6024850 278.6320584
[1]   0.2587549   0.1108812   1.9471193   1.0111152   2.6338539 278.6361214
[1]   0.2572595   0.1114263   1.9456985   0.9994996   2.6152670 278.6332631
[1]   0.2567406   0.1118239   1.9433458   1.0024736   2.6189601 278.6294865
[1]   0.2564290   0.1118482   1.9438467   0.9970506   2.6107391 278.6306997
[1]   0.2573657   0.1117248   1.9452650   1.0191301   2.6391987 278.6294858
[1]   0.2568752   0.1117846   1.9448002   1.0081180   2.6246529 278.6300049
[1]   0.2578478   0.1111893   1.9476946   1.0220272   2.6460258 278.6283072
[1]   0.2589617   0.1106449   1.9504411   1.0402419   2.6726572 278.6283008
[1]   0.2568890   0.1117286   1.9460948   1.0244222   2.6464777 278.6248414
[1]   0.2567037   0.1118798   1.9462930   1.0368834   2.6620831 278.6218740
[1]   0.2583859   0.1114046   1.9456448   1.0241504   2.6578977 278.6236300
[1]   0.2577973   0.1115003   1.9457811   1.0207065   2.6485447 278.6248656
[1]   0.2583349   0.1112002   1.9494084   1.0407224   2.6749985 278.6242009
[1]   0.2579363   0.1113562   1.9478928   1.0311602   2.6609889 278.6245089
[1]   0.2580975   0.1110896   1.9491466   1.0327028   2.6690798 278.6199698
[1]   0.2584634   0.1107720   1.9510874   1.0394892   2.6840204 278.6165260
[1]   0.2600680   0.1104542   1.9529082   1.0850108   2.7376030 278.6242478
[1]   0.2591190   0.1108173   1.9507416   1.0606541   2.7039672 278.6221590
[1]   0.2574411   0.1117846   1.9468290   1.0405180   2.6805295 278.6149924
[1]   0.2566808   0.1123545   1.9450229   1.0406560   2.6844656 278.6104787
[1]   0.2574062   0.1116910   1.9461075   1.0400108   2.6819751 278.6119096
[1]   0.2576384   0.1115683   1.9469327   1.0401887   2.6802309 278.6147606
[1]   0.2569633   0.1116013   1.9500562   1.0629270   2.7087068 278.6117581
[1]   0.2573190   0.1115521   1.9489533   1.0532329   2.6960045 278.6132350
[1]   0.2553680   0.1125022   1.9446852   1.0273324   2.6645332 278.6092883
[1]   0.2534926   0.1133446   1.9416570   1.0106716   2.6448162 278.6091779
[1]   0.2564988   0.1120256   1.9472794   1.0406184   2.6995106 278.6031193
[1]   0.2563964   0.1120984   1.9477725   1.0424859   2.7182244 278.6008077
[1]   0.2539123   0.1136639   1.9411590   1.0392114   2.6912549 278.6031743
[1]   0.2550501   0.1129409   1.9436411   1.0392808   2.6894462 278.6036457
[1]   0.2535719   0.1135341   1.9441596   1.0383699   2.6970121 278.6070386
[1]   0.2545305   0.1130733   1.9446466   1.0387801   2.6932528 278.6045072
[1]   0.2530417   0.1142126   1.9380471   1.0057950   2.6640987 278.6057222
[1]   0.2540221   0.1135598   1.9410493   1.0200780   2.6752508 278.6033596
[1]   0.2522608   0.1139416   1.9414909   1.0198348   2.6846540 278.6073046
[1]   0.2533658   0.1135448   1.9423739   1.0250401   2.6846069 278.6036483
[1]   0.2553983   0.1130315   1.9451435   1.0555666   2.7402197 278.6022834
[1]   0.2549219   0.1131098   1.9442719   1.0443428   2.7163688 278.6014283
[1]   0.2545169   0.1133174   1.9420041   1.0296831   2.7010294 278.5999203
[1]   0.2545101   0.1134394   1.9406829   1.0251346   2.7049178 278.5995385
[1]   0.2561393   0.1128037   1.9436004   1.0434610   2.7177997 278.5992307
[1]   0.2575261   0.1124332   1.9442137   1.0526714   2.7343961 278.5998649
[1]   0.2563299   0.1124863   1.9459454   1.0577763   2.7441754 278.5984068
[1]   0.2574837   0.1119495   1.9483934   1.0766254   2.7786378 278.5993260
[1]   0.2574067   0.1119111   1.9477502   1.0460689   2.7493396 278.6027971
[1]   0.2565331   0.1123493   1.9461024   1.0443545   2.7348184 278.6000769
[1]   0.2570417   0.1121611   1.9453696   1.0409421   2.7316055 278.5982298
[1]   0.2581016   0.1116868   1.9459184   1.0392417   2.7392238 278.5993370
[1]   0.2558252   0.1131975   1.9409077   1.0421815   2.7351023 278.5971555
[1]   0.2555396   0.1137470   1.9374753   1.0420293   2.7435413 278.5971674
[1]   0.2554053   0.1132859   1.9405000   1.0394437   2.7186219 278.5960938
[1]   0.2548414   0.1137541   1.9376988   1.0369883   2.7105236 278.5951596
[1]   0.2575609   0.1123217   1.9447258   1.0634050   2.7507649 278.5975307
[1]   0.2567982   0.1126011   1.9437151   1.0538374   2.7393031 278.5968123
[1]   0.2561952   0.1128763   1.9418542   1.0492292   2.7464843 278.5949726
[1]   0.2562232   0.1129126   1.9409811   1.0521133   2.7608266 278.5947355
[1]   0.2559620   0.1133643   1.9375235   1.0326488   2.7267690 278.5945606
[1]   0.2557781   0.1138033   1.9333126   1.0200850   2.7180658 278.5957250
[1]   0.2548184   0.1141708   1.9349609   1.0461657   2.7374044 278.5927825
[1]   0.2537067   0.1151756   1.9297566   1.0487775   2.7403038 278.5924877
[1]   0.2551874   0.1139257   1.9349623   1.0475646   2.7359881 278.5901846
[1]   0.2548686   0.1142897   1.9319896   1.0502562   2.7364310 278.5878387
[1]   0.2534425   0.1151975   1.9274647   1.0344762   2.7306385 278.5923561
[1]   0.2542815   0.1145484   1.9315273   1.0393165   2.7328047 278.5913088
[1]   0.2551753   0.1143621   1.9310125   1.0522566   2.7683304 278.5909977
[1]   0.2550919   0.1142101   1.9326840   1.0484395   2.7538787 278.5906108
[1]   0.2533410   0.1157226   1.9244113   1.0356620   2.7152483 278.5913840
[1]   0.2540616   0.1150201   1.9285538   1.0397748   2.7266429 278.5903992
[1]   0.2528421   0.1159333   1.9242810   1.0579770   2.7492555 278.5892383
[1]   0.2536220   0.1152911   1.9275916   1.0516450   2.7436338 278.5891622
[1]   0.2550635   0.1141682   1.9311819   1.0429953   2.7370526 278.5874046
[1]   0.2557419   0.1136644   1.9318946   1.0401043   2.7354270 278.5865822
[1]   0.2550729   0.1144418   1.9295581   1.0527714   2.7456007 278.5857121
[1]   0.2554686   0.1143885   1.9285735   1.0594989   2.7519987 278.5840921
[1]   0.2544132   0.1148514   1.9267572   1.0480721   2.7237747 278.5873053
[1]   0.2545829   0.1146911   1.9282389   1.0481640   2.7313007 278.5865768
[1]   0.2556520   0.1139098   1.9307615   1.0600924   2.7528736 278.5831368
[1]   0.2564472   0.1133546   1.9318654   1.0702513   2.7659890 278.5813826
[1]   0.2572216   0.1128643   1.9334331   1.0556649   2.7448247 278.5861526
[1]   0.2563217   0.1134710   1.9319728   1.0546599   2.7445270 278.5846573
[1]   0.2565564   0.1135381   1.9290285   1.0588151   2.7552659 278.5830024
[1]   0.2561344   0.1137260   1.9297688   1.0566754   2.7505572 278.5832374
[1]   0.2560089   0.1141129   1.9279771   1.0764514   2.7642055 278.5827629
[1]   0.2559421   0.1140008   1.9289564   1.0673646   2.7570109 278.5827777
[1]   0.2577383   0.1128550   1.9315280   1.0797066   2.7814938 278.5823004
[1]   0.2569494   0.1133140   1.9307057   1.0718210   2.7689455 278.5820777
[1]   0.2562505   0.1140123   1.9272873   1.0800752   2.7780349 278.5802852
[1]   0.2562148   0.1142830   1.9249446   1.0927828   2.7947888 278.5789510
[1]   0.2574021   0.1130525   1.9292350   1.0885497   2.7876792 278.5814775
[1]   0.2569187   0.1133865   1.9290696   1.0812870   2.7787591 278.5809611
[1]   0.2564592   0.1138423   1.9287964   1.0982222   2.7938092 278.5802680
[1]   0.2564835   0.1137663   1.9288545   1.0883705   2.7841734 278.5803927
[1]   0.2571869   0.1131592   1.9301756   1.0892943   2.7967111 278.5787360
[1]   0.2577759   0.1126824   1.9312749   1.0957158   2.8129639 278.5779690
[1]   0.2565770   0.1137055   1.9276747   1.1034827   2.8095785 278.5771704
[1]   0.2563907   0.1139012   1.9261591   1.1193136   2.8298949 278.5756925
[1]   0.2570566   0.1138835   1.9242325   1.1246773   2.8380974 278.5773976
[1]   0.2569042   0.1137513   1.9261407   1.1110708   2.8200703 278.5774691
[1]   0.2566402   0.1140504   1.9250934   1.1309977   2.8490626 278.5751940
[1]   0.2565010   0.1143824   1.9231053   1.1558530   2.8842144 278.5743630
[1]   0.2571164   0.1138107   1.9230901   1.1371148   2.8701745 278.5741737
[1]   0.2574450   0.1137949   1.9202370   1.1565611   2.9083572 278.5748245
[1]   0.2577214   0.1131811   1.9262002   1.1602870   2.8993492 278.5735805
[1]   0.2584747   0.1126302   1.9268280   1.1940391   2.9516295 278.5745073
[1]   0.2561385   0.1149812   1.9178400   1.1831825   2.9157283 278.5767712
[1]   0.2565479   0.1144065   1.9211987   1.1613158   2.8900372 278.5749011
[1]   0.2566544   0.1139892   1.9236689   1.1688763   2.9113708 278.5722329
[1]   0.2564533   0.1140421   1.9233871   1.1909758   2.9480074 278.5720975
[1]   0.2573452   0.1140279   1.9206335   1.2029050   2.9668182 278.5741483
[1]   0.2571066   0.1139962   1.9220149   1.1820071   2.9325874 278.5731525
[1]   0.2574116   0.1133585   1.9259204   1.1691793   2.9236960 278.5720005
[1]   0.2578435   0.1128345   1.9282812   1.1731111   2.9405254 278.5726768
[1]   0.2578228   0.1129731   1.9251398   1.1799726   2.9453114 278.5728121
[1]   0.2574923   0.1133254   1.9246312   1.1739427   2.9300372 278.5722723
[1]   0.2573577   0.1133506   1.9257714   1.2134420   2.9832964 278.5728457
[1]   0.2572974   0.1134656   1.9251011   1.1943602   2.9550159 278.5721818
[1]   0.2565831   0.1140940   1.9222216   1.2038991   2.9763883 278.5732333
[1]   0.2568677   0.1138658   1.9232163   1.1929960   2.9571286 278.5723136
[1]   0.2571023   0.1132267   1.9268875   1.1865745   2.9529666 278.5715850
[1]   0.2571002   0.1128420   1.9293238   1.1888581   2.9631563 278.5721825
[1]   0.2574351   0.1131016   1.9271546   1.1730169   2.9267607 278.5715243
[1]   0.2577188   0.1127194   1.9291238   1.1630274   2.9115768 278.5717521
[1]   0.2567876   0.1135524   1.9267491   1.1917000   2.9525415 278.5719242
[1]   0.2569638   0.1134957   1.9262196   1.1872607   2.9469154 278.5716465
[1]   0.2568491   0.1134242   1.9267266   1.1684427   2.9243226 278.5713058
[1]   0.2566249   0.1134034   1.9275394   1.1554839   2.9089759 278.5715517
\$params
[1] 0.2574351 0.1131016 1.9271546 1.1730169 2.9267607 2.2489256

\$loglik
[1] -328.4225
```

bayesianETAS documentation built on May 29, 2017, 9:06 a.m.