Compare.Cs: Comparing and sort Abbasov-Mamedova models or NFTS models
In AnalyzeTS: Analyze Fuzzy Time Series
Description
Usage
Arguments
Details
Value
Author(s)
Examples
Description
Comparing and sort Abbasov-Mamedova models or NFTS models according a criterion to evaluate forecasting model (ME, MAE, MPE, MAPE, MSE or RMSE) for C values in Cs.
Usage
1
2
Compare.Cs(ts, n = 7, w = 7, D1 = 0, D2 = 0, Cs = NULL,
type = "Abbasov-Mamedova", complete = NULL)
Arguments
ts
Univariate time series.
n
Number of fuzzy set.
w
The w parameter.
D1,D2
Two proper positive numbers.
Cs
A vector contain C values.
type
Model is choosed to predicts time series by fuzziness, type = "Abbasov-Manedova" or type = "NFTS".
complete
A parameter help connecting from DOC and GDOC functions to Compare.Cs function. User are not allowed to use parameter 'complete'.
Details
Now, this documen are updating.
Value
Table comparing and sort Abbasov-Mamedova models or FVD models.
Author(s)
Hong Viet Minh <hongvietminh@gmail.com>
Examples
1
2
3
4
5
#Compering Abbasov-Mamedova models
Compare.Cs(lh,n=5,w=7,Cs=seq(0,1,0.01),type="Abbasov-Mamedova")
#Compering NFTS models
Compare.Cs(lh,n=5,w=7,Cs=seq(0,1,0.01),type="NFTS")
Example output
Loading required package: MASS
Loading required package: TSA
Attaching package: 'TSA'
The following objects are masked from 'package:stats':
acf, arima
The following object is masked from 'package:utils':
tar
Loading required package: TTR
Loading required package: tseries
Loading required package: urca
Attaching package: 'AnalyzeTS'
The following object is masked from 'package:base':
pmax
C values ME MAE MPE MAPE MSE RMSE MExl
1 0.00 -0.3350000 0.5575000 -16.79651 24.26311 0.3830000 0.6188699 1
2 0.01 -0.3349754 0.5574867 -16.79529 24.26231 0.3829850 0.6188578 2
3 0.02 -0.3349015 0.5574467 -16.79166 24.25992 0.3829399 0.6188214 3
4 0.03 -0.3347785 0.5573802 -16.78560 24.25593 0.3828649 0.6187608 4
5 0.04 -0.3346065 0.5572871 -16.77713 24.25037 0.3827602 0.6186762 5
6 0.05 -0.3343858 0.5571677 -16.76627 24.24322 0.3826261 0.6185678 6
7 0.06 -0.3341168 0.5570222 -16.75302 24.23451 0.3824630 0.6184360 7
8 0.07 -0.3337997 0.5568507 -16.73742 24.22425 0.3822714 0.6182810 8
9 0.08 -0.3334352 0.5566534 -16.71948 24.21246 0.3820518 0.6181034 9
10 0.09 -0.3330237 0.5564307 -16.69923 24.19914 0.3818049 0.6179036 10
11 0.10 -0.3325657 0.5561829 -16.67670 24.18433 0.3815312 0.6176821 11
12 0.11 -0.3320621 0.5559104 -16.65192 24.16804 0.3812317 0.6174396 12
13 0.12 -0.3315133 0.5556134 -16.62493 24.15030 0.3809070 0.6171766 13
14 0.13 -0.3309203 0.5552924 -16.59576 24.13114 0.3805581 0.6168939 14
15 0.14 -0.3302838 0.5549478 -16.56447 24.11057 0.3801859 0.6165922 15
16 0.15 -0.3296047 0.5545802 -16.53109 24.08864 0.3797914 0.6162722 16
17 0.16 -0.3288839 0.5541899 -16.49566 24.06537 0.3793755 0.6159347 17
18 0.17 -0.3281223 0.5537774 -16.45824 24.04079 0.3789394 0.6155805 18
19 0.18 -0.3273209 0.5533434 -16.41887 24.01494 0.3784840 0.6152106 19
20 0.19 -0.3264807 0.5528883 -16.37761 23.98784 0.3780105 0.6148256 20
21 0.20 -0.3256028 0.5524127 -16.33451 23.95954 0.3775201 0.6144266 21
22 0.21 -0.3246882 0.5519172 -16.28961 23.93008 0.3770137 0.6140144 22
23 0.22 -0.3237381 0.5514023 -16.24299 23.89947 0.3764927 0.6135900 23
24 0.23 -0.3227534 0.5508686 -16.19468 23.86778 0.3759580 0.6131541 24
25 0.24 -0.3217355 0.5503168 -16.14476 23.83502 0.3754109 0.6127078 25
26 0.25 -0.3206853 0.5497475 -16.09327 23.80125 0.3748525 0.6122520 26
27 0.26 -0.3196040 0.5491612 -16.04027 23.76649 0.3742839 0.6117874 27
28 0.27 -0.3184928 0.5485585 -15.98583 23.73079 0.3737062 0.6113151 28
29 0.28 -0.3173528 0.5479402 -15.92999 23.69418 0.3731205 0.6108359 29
30 0.29 -0.3161853 0.5473068 -15.87281 23.65670 0.3725279 0.6103507 30
31 0.30 -0.3149912 0.5466589 -15.81436 23.61839 0.3719295 0.6098602 31
32 0.31 -0.3137718 0.5459971 -15.75469 23.57929 0.3713263 0.6093655 32
33 0.32 -0.3125282 0.5453221 -15.69385 23.53943 0.3707193 0.6088672 33
34 0.33 -0.3112616 0.5446345 -15.63190 23.49885 0.3701094 0.6083662 34
35 0.34 -0.3099730 0.5440517 -15.56890 23.46209 0.3694976 0.6078632 35
36 0.35 -0.3086635 0.5434751 -15.50491 23.42536 0.3688849 0.6073590 36
37 0.36 -0.3073343 0.5428894 -15.43996 23.38809 0.3682721 0.6068542 37
38 0.37 -0.3059863 0.5422952 -15.37413 23.35031 0.3676600 0.6063497 38
39 0.38 -0.3046207 0.5416927 -15.30745 23.31204 0.3670495 0.6058461 39
40 0.39 -0.3032385 0.5410826 -15.23998 23.27332 0.3664413 0.6053439 40
41 0.40 -0.3018406 0.5404652 -15.17178 23.23418 0.3658361 0.6048439 41
42 0.41 -0.3004281 0.5398410 -15.10288 23.19464 0.3652348 0.6043466 42
43 0.42 -0.2990019 0.5392103 -15.03334 23.15473 0.3646379 0.6038525 43
44 0.43 -0.2975630 0.5385736 -14.96319 23.11448 0.3640461 0.6033623 44
45 0.44 -0.2961123 0.5379314 -14.89250 23.07391 0.3634599 0.6028764 45
46 0.45 -0.2946506 0.5372838 -14.82129 23.03305 0.3628800 0.6023952 46
47 0.46 -0.2931789 0.5366315 -14.74962 22.99192 0.3623068 0.6019193 47
48 0.47 -0.2916979 0.5359747 -14.67752 22.95054 0.3617409 0.6014490 48
49 0.48 -0.2902085 0.5353138 -14.60504 22.90895 0.3611828 0.6009848 49
50 0.49 -0.2887116 0.5346491 -14.53221 22.86715 0.3606327 0.6005270 50
51 0.50 -0.2872078 0.5339810 -14.45907 22.82517 0.3600912 0.6000760 51
52 0.51 -0.2856979 0.5333099 -14.38565 22.78304 0.3595587 0.5996321 52
53 0.52 -0.2841826 0.5326359 -14.31199 22.74077 0.3590354 0.5991956 53
54 0.53 -0.2826626 0.5319596 -14.23813 22.69838 0.3585216 0.5987668 54
55 0.54 -0.2811386 0.5312810 -14.16410 22.65589 0.3580177 0.5983458 55
56 0.55 -0.2796113 0.5306006 -14.08992 22.61332 0.3575239 0.5979331 56
57 0.56 -0.2780812 0.5299187 -14.01563 22.57069 0.3570405 0.5975286 57
58 0.57 -0.2765489 0.5292354 -13.94126 22.52800 0.3565676 0.5971328 58
59 0.58 -0.2750151 0.5285511 -13.86684 22.48528 0.3561054 0.5967456 59
60 0.59 -0.2734802 0.5278659 -13.79238 22.44255 0.3556541 0.5963674 60
61 0.60 -0.2719448 0.5271802 -13.71792 22.39981 0.3552138 0.5959981 61
62 0.61 -0.2704094 0.5264942 -13.64348 22.35709 0.3547846 0.5956380 62
63 0.62 -0.2688746 0.5258081 -13.56909 22.31438 0.3543667 0.5952871 63
64 0.63 -0.2673407 0.5251221 -13.49476 22.27172 0.3539601 0.5949455 64
65 0.64 -0.2658082 0.5244364 -13.42053 22.22910 0.3535649 0.5946132 65
66 0.65 -0.2642776 0.5237512 -13.34640 22.18655 0.3531811 0.5942905 66
67 0.66 -0.2627491 0.5230668 -13.27240 22.14407 0.3528088 0.5939771 67
68 0.67 -0.2612234 0.5223832 -13.19854 22.10167 0.3524480 0.5936733 68
69 0.68 -0.2597006 0.5217006 -13.12485 22.05936 0.3520987 0.5933790 69
70 0.69 -0.2581812 0.5210193 -13.05134 22.01716 0.3517608 0.5930942 70
71 0.70 -0.2566655 0.5203394 -12.97803 21.97507 0.3514344 0.5928190 71
72 0.71 -0.2551538 0.5196610 -12.90493 21.93310 0.3511194 0.5925532 72
73 0.72 -0.2536464 0.5189842 -12.83206 21.89126 0.3508157 0.5922970 73
74 0.73 -0.2521437 0.5183093 -12.75943 21.84955 0.3505234 0.5920502 74
75 0.74 -0.2506458 0.5176363 -12.68705 21.80799 0.3502423 0.5918127 75
76 0.75 -0.2491530 0.5169654 -12.61493 21.76658 0.3499724 0.5915847 76
77 0.76 -0.2476657 0.5162966 -12.54310 21.72533 0.3497136 0.5913659 77
78 0.77 -0.2461839 0.5156301 -12.47155 21.68424 0.3494658 0.5911563 78
79 0.78 -0.2447080 0.5149660 -12.40030 21.64332 0.3492289 0.5909559 79
80 0.79 -0.2432382 0.5143044 -12.32935 21.60257 0.3490029 0.5907646 80
81 0.80 -0.2417746 0.5136454 -12.25873 21.56201 0.3487875 0.5905823 81
82 0.81 -0.2403174 0.5129891 -12.18843 21.52163 0.3485827 0.5904089 82
83 0.82 -0.2388668 0.5123355 -12.11846 21.48144 0.3483884 0.5902443 83
84 0.83 -0.2374229 0.5116847 -12.04883 21.44144 0.3482044 0.5900885 84
85 0.84 -0.2359860 0.5110368 -11.97955 21.40164 0.3480306 0.5899412 85
86 0.85 -0.2345561 0.5103920 -11.91063 21.36204 0.3478670 0.5898025 86
87 0.86 -0.2331334 0.5097501 -11.84206 21.32265 0.3477132 0.5896721 87
88 0.87 -0.2317180 0.5091114 -11.77386 21.28347 0.3475693 0.5895501 88
89 0.88 -0.2303101 0.5084758 -11.70604 21.24450 0.3474351 0.5894363 89
90 0.89 -0.2289096 0.5078434 -11.63859 21.20574 0.3473104 0.5893305 90
91 0.90 -0.2275168 0.5072143 -11.57151 21.16720 0.3471952 0.5892327 91
92 0.91 -0.2261316 0.5065885 -11.50483 21.12887 0.3470891 0.5891427 92
93 0.92 -0.2247543 0.5059661 -11.43853 21.09077 0.3469922 0.5890604 93
94 0.93 -0.2233848 0.5053470 -11.37262 21.05289 0.3469042 0.5889858 94
95 0.94 -0.2220233 0.5047313 -11.30711 21.01524 0.3468250 0.5889185 95
96 0.95 -0.2206697 0.5041191 -11.24199 20.97781 0.3467545 0.5888587 96
97 0.96 -0.2193242 0.5035104 -11.17727 20.94061 0.3466925 0.5888060 97
98 0.97 -0.2179869 0.5029052 -11.11296 20.90363 0.3466389 0.5887605 98
99 0.98 -0.2166576 0.5023035 -11.04905 20.86689 0.3465935 0.5887219 99
100 0.99 -0.2153366 0.5017054 -10.98554 20.83038 0.3465561 0.5886902 100
101 1.00 -0.2140237 0.5011108 -10.92244 20.79409 0.3465267 0.5886652 101
MAExl MPExl MAPExl MSExl RMSExl
1 101 1 101 101 101
2 100 2 100 100 100
3 99 3 99 99 99
4 98 4 98 98 98
5 97 5 97 97 97
6 96 6 96 96 96
7 95 7 95 95 95
8 94 8 94 94 94
9 93 9 93 93 93
10 92 10 92 92 92
11 91 11 91 91 91
12 90 12 90 90 90
13 89 13 89 89 89
14 88 14 88 88 88
15 87 15 87 87 87
16 86 16 86 86 86
17 85 17 85 85 85
18 84 18 84 84 84
19 83 19 83 83 83
20 82 20 82 82 82
21 81 21 81 81 81
22 80 22 80 80 80
23 79 23 79 79 79
24 78 24 78 78 78
25 77 25 77 77 77
26 76 26 76 76 76
27 75 27 75 75 75
28 74 28 74 74 74
29 73 29 73 73 73
30 72 30 72 72 72
31 71 31 71 71 71
32 70 32 70 70 70
33 69 33 69 69 69
34 68 34 68 68 68
35 67 35 67 67 67
36 66 36 66 66 66
37 65 37 65 65 65
38 64 38 64 64 64
39 63 39 63 63 63
40 62 40 62 62 62
41 61 41 61 61 61
42 60 42 60 60 60
43 59 43 59 59 59
44 58 44 58 58 58
45 57 45 57 57 57
46 56 46 56 56 56
47 55 47 55 55 55
48 54 48 54 54 54
49 53 49 53 53 53
50 52 50 52 52 52
51 51 51 51 51 51
52 50 52 50 50 50
53 49 53 49 49 49
54 48 54 48 48 48
55 47 55 47 47 47
56 46 56 46 46 46
57 45 57 45 45 45
58 44 58 44 44 44
59 43 59 43 43 43
60 42 60 42 42 42
61 41 61 41 41 41
62 40 62 40 40 40
63 39 63 39 39 39
64 38 64 38 38 38
65 37 65 37 37 37
66 36 66 36 36 36
67 35 67 35 35 35
68 34 68 34 34 34
69 33 69 33 33 33
70 32 70 32 32 32
71 31 71 31 31 31
72 30 72 30 30 30
73 29 73 29 29 29
74 28 74 28 28 28
75 27 75 27 27 27
76 26 76 26 26 26
77 25 77 25 25 25
78 24 78 24 24 24
79 23 79 23 23 23
80 22 80 22 22 22
81 21 81 21 21 21
82 20 82 20 20 20
83 19 83 19 19 19
84 18 84 18 18 18
85 17 85 17 17 17
86 16 86 16 16 16
87 15 87 15 15 15
88 14 88 14 14 14
89 13 89 13 13 13
90 12 90 12 12 12
91 11 91 11 11 11
92 10 92 10 10 10
93 9 93 9 9 9
94 8 94 8 8 8
95 7 95 7 7 7
96 6 96 6 6 6
97 5 97 5 5 5
98 4 98 4 4 4
99 3 99 3 3 3
100 2 100 2 2 2
101 1 101 1 1 1
C values ME MAE MPE MAPE MSE RMSE
1 0.00 -0.3500000 0.3500000 -15.202026 15.202026 0.12250000 0.3500000
2 0.01 -0.3499722 0.3499722 -15.200691 15.200691 0.12248055 0.3499722
3 0.02 -0.3498889 0.3498889 -15.196687 15.196687 0.12242225 0.3498889
4 0.03 -0.3497502 0.3497502 -15.190022 15.190022 0.12232526 0.3497503
5 0.04 -0.3495564 0.3495564 -15.180708 15.180708 0.12218980 0.3495566
6 0.05 -0.3493078 0.3493078 -15.168761 15.168761 0.12201622 0.3493082
7 0.06 -0.3490047 0.3490047 -15.154201 15.154201 0.12180495 0.3490057
8 0.07 -0.3486479 0.3486479 -15.137054 15.137054 0.12155651 0.3486496
9 0.08 -0.3482377 0.3482377 -15.117350 15.117350 0.12127151 0.3482406
10 0.09 -0.3477750 0.3477750 -15.095122 15.095122 0.12095063 0.3477796
11 0.10 -0.3472604 0.3472604 -15.070408 15.070408 0.12059465 0.3472674
12 0.11 -0.3466949 0.3466949 -15.043249 15.043249 0.12020440 0.3467051
13 0.12 -0.3460793 0.3460793 -15.013690 15.013690 0.11978080 0.3460936
14 0.13 -0.3454146 0.3454146 -14.981779 14.981779 0.11932482 0.3454342
15 0.14 -0.3447019 0.3447019 -14.947567 14.947567 0.11883747 0.3447281
16 0.15 -0.3439423 0.3439423 -14.911107 14.911107 0.11831986 0.3439765
17 0.16 -0.3431369 0.3431369 -14.872457 14.872457 0.11777309 0.3431808
18 0.17 -0.3422868 0.3422868 -14.831676 14.831676 0.11719835 0.3423424
19 0.18 -0.3413935 0.3413935 -14.788823 14.788823 0.11659682 0.3414628
20 0.19 -0.3404581 0.3404581 -14.743961 14.743961 0.11596973 0.3405433
21 0.20 -0.3394819 0.3394819 -14.697155 14.697155 0.11531834 0.3395855
22 0.21 -0.3384664 0.3384664 -14.648470 14.648470 0.11464390 0.3385911
23 0.22 -0.3374128 0.3374128 -14.597973 14.597973 0.11394770 0.3375614
24 0.23 -0.3363225 0.3363225 -14.545730 14.545730 0.11323101 0.3364982
25 0.24 -0.3351969 0.3351969 -14.491809 14.491809 0.11249513 0.3354029
26 0.25 -0.3340375 0.3340375 -14.436278 14.436278 0.11174132 0.3342773
27 0.26 -0.3328456 0.3328456 -14.379206 14.379206 0.11097085 0.3331229
28 0.27 -0.3316227 0.3316227 -14.320660 14.320660 0.11018500 0.3319413
29 0.28 -0.3303700 0.3303700 -14.260710 14.260710 0.10938499 0.3307340
30 0.29 -0.3290891 0.3290891 -14.199421 14.199421 0.10857205 0.3295027
31 0.30 -0.3277813 0.3277813 -14.136861 14.136861 0.10774739 0.3282490
32 0.31 -0.3264480 0.3264480 -14.073097 14.073097 0.10691217 0.3269743
33 0.32 -0.3250905 0.3250905 -14.008193 14.008193 0.10606755 0.3256801
34 0.33 -0.3237102 0.3237102 -13.942214 13.942214 0.10521464 0.3243681
35 0.34 -0.3223084 0.3223084 -13.875224 13.875224 0.10435452 0.3230395
36 0.35 -0.3208863 0.3208863 -13.807283 13.807283 0.10348825 0.3216959
37 0.36 -0.3194452 0.3194452 -13.738454 13.738454 0.10261685 0.3203387
38 0.37 -0.3179864 0.3179864 -13.668795 13.668795 0.10174130 0.3189691
39 0.38 -0.3165110 0.3165110 -13.598365 13.598365 0.10086254 0.3175886
40 0.39 -0.3150203 0.3150203 -13.527220 13.527220 0.09998149 0.3161985
41 0.40 -0.3135154 0.3135154 -13.455416 13.455416 0.09909901 0.3148000
42 0.41 -0.3119974 0.3119974 -13.383005 13.383005 0.09821594 0.3133942
43 0.42 -0.3104673 0.3104673 -13.310039 13.310039 0.09733307 0.3119825
44 0.43 -0.3089263 0.3089263 -13.236570 13.236570 0.09645117 0.3105659
45 0.44 -0.3073754 0.3073754 -13.162645 13.162645 0.09557095 0.3091455
46 0.45 -0.3058156 0.3058156 -13.088313 13.088313 0.09469310 0.3077224
47 0.46 -0.3042477 0.3042477 -13.013617 13.013617 0.09381827 0.3062977
48 0.47 -0.3026727 0.3026727 -12.938603 12.938603 0.09294708 0.3048722
49 0.48 -0.3010916 0.3010916 -12.863312 12.863312 0.09208009 0.3034470
50 0.49 -0.2995052 0.2995052 -12.787785 12.787785 0.09121786 0.3020229
51 0.50 -0.2979142 0.2979142 -12.712061 12.712061 0.09036090 0.3006009
52 0.51 -0.2963195 0.2963195 -12.636179 12.636179 0.08950968 0.2991817
53 0.52 -0.2947219 0.2947219 -12.560173 12.560173 0.08866466 0.2977661
54 0.53 -0.2931220 0.2931220 -12.484078 12.484078 0.08782625 0.2963549
55 0.54 -0.2915206 0.2915206 -12.407928 12.407928 0.08699485 0.2949489
56 0.55 -0.2899184 0.2899184 -12.331754 12.331754 0.08617080 0.2935486
57 0.56 -0.2883159 0.2883159 -12.255587 12.255587 0.08535446 0.2921549
58 0.57 -0.2867139 0.2867139 -12.179454 12.179454 0.08454611 0.2907681
59 0.58 -0.2851128 0.2851128 -12.103385 12.103385 0.08374605 0.2893891
60 0.59 -0.2835133 0.2835133 -12.027404 12.027404 0.08295454 0.2880183
61 0.60 -0.2819158 0.2819158 -11.951538 11.951538 0.08217180 0.2866562
62 0.61 -0.2803209 0.2803209 -11.875809 11.875809 0.08139806 0.2853034
63 0.62 -0.2787291 0.2787291 -11.800241 11.800241 0.08063349 0.2839604
64 0.63 -0.2771409 0.2771409 -11.724855 11.724855 0.07987829 0.2826275
65 0.64 -0.2755565 0.2755565 -11.649671 11.649671 0.07913259 0.2813052
66 0.65 -0.2739766 0.2739766 -11.574708 11.574708 0.07839653 0.2799938
67 0.66 -0.2724014 0.2724014 -11.499985 11.499985 0.07767024 0.2786938
68 0.67 -0.2708314 0.2708314 -11.425519 11.425519 0.07695381 0.2774055
69 0.68 -0.2692668 0.2692668 -11.351326 11.351326 0.07624733 0.2761292
70 0.69 -0.2677081 0.2677081 -11.277422 11.277422 0.07555087 0.2748652
71 0.70 -0.2661555 0.2661555 -11.203821 11.203821 0.07486448 0.2736138
72 0.71 -0.2646093 0.2646093 -11.130537 11.130537 0.07418822 0.2723752
73 0.72 -0.2630698 0.2630698 -11.057581 11.057581 0.07352212 0.2711496
74 0.73 -0.2615373 0.2615373 -10.984968 10.984968 0.07286618 0.2699374
75 0.74 -0.2600120 0.2600120 -10.912707 10.912707 0.07222043 0.2687386
76 0.75 -0.2584941 0.2584941 -10.840809 10.840809 0.07158487 0.2675535
77 0.76 -0.2569839 0.2569839 -10.769284 10.769284 0.07095948 0.2663822
78 0.77 -0.2554815 0.2554815 -10.698141 10.698141 0.07034425 0.2652249
79 0.78 -0.2539872 0.2539872 -10.627389 10.627389 0.06973914 0.2640817
80 0.79 -0.2525011 0.2525011 -10.557035 10.557035 0.06914413 0.2629527
81 0.80 -0.2510233 0.2510233 -10.487087 10.487087 0.06855916 0.2618380
82 0.81 -0.2495541 0.2495541 -10.417551 10.417551 0.06798420 0.2607378
83 0.82 -0.2480935 0.2480935 -10.348434 10.348434 0.06741919 0.2596520
84 0.83 -0.2466417 0.2466417 -10.279742 10.279742 0.06686405 0.2585808
85 0.84 -0.2451988 0.2451988 -10.211479 10.211479 0.06631874 0.2575243
86 0.85 -0.2437649 0.2437649 -10.143650 10.143650 0.06578317 0.2564823
87 0.86 -0.2423401 0.2423401 -10.076259 10.076259 0.06525727 0.2554550
88 0.87 -0.2409245 0.2409245 -10.009311 10.009311 0.06474097 0.2544425
89 0.88 -0.2395182 0.2395182 -9.942809 9.942809 0.06423416 0.2534446
90 0.89 -0.2381212 0.2381212 -9.876756 9.876756 0.06373678 0.2524614
91 0.90 -0.2367336 0.2367336 -9.811154 9.811154 0.06324872 0.2514930
92 0.91 -0.2353555 0.2353555 -9.746006 9.746006 0.06276989 0.2505392
93 0.92 -0.2339868 0.2339868 -9.681314 9.681314 0.06230020 0.2496001
94 0.93 -0.2326278 0.2326278 -9.617079 9.617079 0.06183955 0.2486756
95 0.94 -0.2312783 0.2312783 -9.553304 9.553304 0.06138783 0.2477657
96 0.95 -0.2299384 0.2299384 -9.489988 9.489988 0.06094495 0.2468703
97 0.96 -0.2286081 0.2286081 -9.427134 9.427134 0.06051080 0.2459894
98 0.97 -0.2272875 0.2272875 -9.364740 9.364740 0.06008527 0.2451230
99 0.98 -0.2259766 0.2259766 -9.302809 9.302809 0.05966825 0.2442709
100 0.99 -0.2246753 0.2246753 -9.241339 9.241339 0.05925965 0.2434330
101 1.00 -0.2233837 0.2233837 -9.180331 9.180331 0.05885934 0.2426094
MExl MAExl MPExl MAPExl MSExl RMSExl
1 1 101 1 101 101 101
2 2 100 2 100 100 100
3 3 99 3 99 99 99
4 4 98 4 98 98 98
5 5 97 5 97 97 97
6 6 96 6 96 96 96
7 7 95 7 95 95 95
8 8 94 8 94 94 94
9 9 93 9 93 93 93
10 10 92 10 92 92 92
11 11 91 11 91 91 91
12 12 90 12 90 90 90
13 13 89 13 89 89 89
14 14 88 14 88 88 88
15 15 87 15 87 87 87
16 16 86 16 86 86 86
17 17 85 17 85 85 85
18 18 84 18 84 84 84
19 19 83 19 83 83 83
20 20 82 20 82 82 82
21 21 81 21 81 81 81
22 22 80 22 80 80 80
23 23 79 23 79 79 79
24 24 78 24 78 78 78
25 25 77 25 77 77 77
26 26 76 26 76 76 76
27 27 75 27 75 75 75
28 28 74 28 74 74 74
29 29 73 29 73 73 73
30 30 72 30 72 72 72
31 31 71 31 71 71 71
32 32 70 32 70 70 70
33 33 69 33 69 69 69
34 34 68 34 68 68 68
35 35 67 35 67 67 67
36 36 66 36 66 66 66
37 37 65 37 65 65 65
38 38 64 38 64 64 64
39 39 63 39 63 63 63
40 40 62 40 62 62 62
41 41 61 41 61 61 61
42 42 60 42 60 60 60
43 43 59 43 59 59 59
44 44 58 44 58 58 58
45 45 57 45 57 57 57
46 46 56 46 56 56 56
47 47 55 47 55 55 55
48 48 54 48 54 54 54
49 49 53 49 53 53 53
50 50 52 50 52 52 52
51 51 51 51 51 51 51
52 52 50 52 50 50 50
53 53 49 53 49 49 49
54 54 48 54 48 48 48
55 55 47 55 47 47 47
56 56 46 56 46 46 46
57 57 45 57 45 45 45
58 58 44 58 44 44 44
59 59 43 59 43 43 43
60 60 42 60 42 42 42
61 61 41 61 41 41 41
62 62 40 62 40 40 40
63 63 39 63 39 39 39
64 64 38 64 38 38 38
65 65 37 65 37 37 37
66 66 36 66 36 36 36
67 67 35 67 35 35 35
68 68 34 68 34 34 34
69 69 33 69 33 33 33
70 70 32 70 32 32 32
71 71 31 71 31 31 31
72 72 30 72 30 30 30
73 73 29 73 29 29 29
74 74 28 74 28 28 28
75 75 27 75 27 27 27
76 76 26 76 26 26 26
77 77 25 77 25 25 25
78 78 24 78 24 24 24
79 79 23 79 23 23 23
80 80 22 80 22 22 22
81 81 21 81 21 21 21
82 82 20 82 20 20 20
83 83 19 83 19 19 19
84 84 18 84 18 18 18
85 85 17 85 17 17 17
86 86 16 86 16 16 16
87 87 15 87 15 15 15
88 88 14 88 14 14 14
89 89 13 89 13 13 13
90 90 12 90 12 12 12
91 91 11 91 11 11 11
92 92 10 92 10 10 10
93 93 9 93 9 9 9
94 94 8 94 8 8 8
95 95 7 95 7 7 7
96 96 6 96 6 6 6
97 97 5 97 5 5 5
98 98 4 98 4 4 4
99 99 3 99 3 3 3
100 100 2 100 2 2 2
101 101 1 101 1 1 1
AnalyzeTS documentation built on Dec. 9, 2019, 1:07 a.m.
R Package Documentation
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Description Usage Arguments Details Value Author(s) Examples
Description
Comparing and sort Abbasov-Mamedova models or NFTS models according a criterion to evaluate forecasting model (ME, MAE, MPE, MAPE, MSE or RMSE) for C values in Cs.
Usage
1 2 | Compare.Cs(ts, n = 7, w = 7, D1 = 0, D2 = 0, Cs = NULL,
type = "Abbasov-Mamedova", complete = NULL)
|
Arguments
ts |
Univariate time series. |
n |
Number of fuzzy set. |
w |
The w parameter. |
D1,D2 |
Two proper positive numbers. |
Cs |
A vector contain C values. |
type |
Model is choosed to predicts time series by fuzziness, type = "Abbasov-Manedova" or type = "NFTS". |
complete |
A parameter help connecting from |
Details
Now, this documen are updating.
Value
Table comparing and sort Abbasov-Mamedova models or FVD models.
Author(s)
Hong Viet Minh <hongvietminh@gmail.com>
Examples
1 2 3 4 5 | #Compering Abbasov-Mamedova models
Compare.Cs(lh,n=5,w=7,Cs=seq(0,1,0.01),type="Abbasov-Mamedova")
#Compering NFTS models
Compare.Cs(lh,n=5,w=7,Cs=seq(0,1,0.01),type="NFTS")
|
Example output
Loading required package: MASS
Loading required package: TSA
Attaching package: 'TSA'
The following objects are masked from 'package:stats':
acf, arima
The following object is masked from 'package:utils':
tar
Loading required package: TTR
Loading required package: tseries
Loading required package: urca
Attaching package: 'AnalyzeTS'
The following object is masked from 'package:base':
pmax
C values ME MAE MPE MAPE MSE RMSE MExl
1 0.00 -0.3350000 0.5575000 -16.79651 24.26311 0.3830000 0.6188699 1
2 0.01 -0.3349754 0.5574867 -16.79529 24.26231 0.3829850 0.6188578 2
3 0.02 -0.3349015 0.5574467 -16.79166 24.25992 0.3829399 0.6188214 3
4 0.03 -0.3347785 0.5573802 -16.78560 24.25593 0.3828649 0.6187608 4
5 0.04 -0.3346065 0.5572871 -16.77713 24.25037 0.3827602 0.6186762 5
6 0.05 -0.3343858 0.5571677 -16.76627 24.24322 0.3826261 0.6185678 6
7 0.06 -0.3341168 0.5570222 -16.75302 24.23451 0.3824630 0.6184360 7
8 0.07 -0.3337997 0.5568507 -16.73742 24.22425 0.3822714 0.6182810 8
9 0.08 -0.3334352 0.5566534 -16.71948 24.21246 0.3820518 0.6181034 9
10 0.09 -0.3330237 0.5564307 -16.69923 24.19914 0.3818049 0.6179036 10
11 0.10 -0.3325657 0.5561829 -16.67670 24.18433 0.3815312 0.6176821 11
12 0.11 -0.3320621 0.5559104 -16.65192 24.16804 0.3812317 0.6174396 12
13 0.12 -0.3315133 0.5556134 -16.62493 24.15030 0.3809070 0.6171766 13
14 0.13 -0.3309203 0.5552924 -16.59576 24.13114 0.3805581 0.6168939 14
15 0.14 -0.3302838 0.5549478 -16.56447 24.11057 0.3801859 0.6165922 15
16 0.15 -0.3296047 0.5545802 -16.53109 24.08864 0.3797914 0.6162722 16
17 0.16 -0.3288839 0.5541899 -16.49566 24.06537 0.3793755 0.6159347 17
18 0.17 -0.3281223 0.5537774 -16.45824 24.04079 0.3789394 0.6155805 18
19 0.18 -0.3273209 0.5533434 -16.41887 24.01494 0.3784840 0.6152106 19
20 0.19 -0.3264807 0.5528883 -16.37761 23.98784 0.3780105 0.6148256 20
21 0.20 -0.3256028 0.5524127 -16.33451 23.95954 0.3775201 0.6144266 21
22 0.21 -0.3246882 0.5519172 -16.28961 23.93008 0.3770137 0.6140144 22
23 0.22 -0.3237381 0.5514023 -16.24299 23.89947 0.3764927 0.6135900 23
24 0.23 -0.3227534 0.5508686 -16.19468 23.86778 0.3759580 0.6131541 24
25 0.24 -0.3217355 0.5503168 -16.14476 23.83502 0.3754109 0.6127078 25
26 0.25 -0.3206853 0.5497475 -16.09327 23.80125 0.3748525 0.6122520 26
27 0.26 -0.3196040 0.5491612 -16.04027 23.76649 0.3742839 0.6117874 27
28 0.27 -0.3184928 0.5485585 -15.98583 23.73079 0.3737062 0.6113151 28
29 0.28 -0.3173528 0.5479402 -15.92999 23.69418 0.3731205 0.6108359 29
30 0.29 -0.3161853 0.5473068 -15.87281 23.65670 0.3725279 0.6103507 30
31 0.30 -0.3149912 0.5466589 -15.81436 23.61839 0.3719295 0.6098602 31
32 0.31 -0.3137718 0.5459971 -15.75469 23.57929 0.3713263 0.6093655 32
33 0.32 -0.3125282 0.5453221 -15.69385 23.53943 0.3707193 0.6088672 33
34 0.33 -0.3112616 0.5446345 -15.63190 23.49885 0.3701094 0.6083662 34
35 0.34 -0.3099730 0.5440517 -15.56890 23.46209 0.3694976 0.6078632 35
36 0.35 -0.3086635 0.5434751 -15.50491 23.42536 0.3688849 0.6073590 36
37 0.36 -0.3073343 0.5428894 -15.43996 23.38809 0.3682721 0.6068542 37
38 0.37 -0.3059863 0.5422952 -15.37413 23.35031 0.3676600 0.6063497 38
39 0.38 -0.3046207 0.5416927 -15.30745 23.31204 0.3670495 0.6058461 39
40 0.39 -0.3032385 0.5410826 -15.23998 23.27332 0.3664413 0.6053439 40
41 0.40 -0.3018406 0.5404652 -15.17178 23.23418 0.3658361 0.6048439 41
42 0.41 -0.3004281 0.5398410 -15.10288 23.19464 0.3652348 0.6043466 42
43 0.42 -0.2990019 0.5392103 -15.03334 23.15473 0.3646379 0.6038525 43
44 0.43 -0.2975630 0.5385736 -14.96319 23.11448 0.3640461 0.6033623 44
45 0.44 -0.2961123 0.5379314 -14.89250 23.07391 0.3634599 0.6028764 45
46 0.45 -0.2946506 0.5372838 -14.82129 23.03305 0.3628800 0.6023952 46
47 0.46 -0.2931789 0.5366315 -14.74962 22.99192 0.3623068 0.6019193 47
48 0.47 -0.2916979 0.5359747 -14.67752 22.95054 0.3617409 0.6014490 48
49 0.48 -0.2902085 0.5353138 -14.60504 22.90895 0.3611828 0.6009848 49
50 0.49 -0.2887116 0.5346491 -14.53221 22.86715 0.3606327 0.6005270 50
51 0.50 -0.2872078 0.5339810 -14.45907 22.82517 0.3600912 0.6000760 51
52 0.51 -0.2856979 0.5333099 -14.38565 22.78304 0.3595587 0.5996321 52
53 0.52 -0.2841826 0.5326359 -14.31199 22.74077 0.3590354 0.5991956 53
54 0.53 -0.2826626 0.5319596 -14.23813 22.69838 0.3585216 0.5987668 54
55 0.54 -0.2811386 0.5312810 -14.16410 22.65589 0.3580177 0.5983458 55
56 0.55 -0.2796113 0.5306006 -14.08992 22.61332 0.3575239 0.5979331 56
57 0.56 -0.2780812 0.5299187 -14.01563 22.57069 0.3570405 0.5975286 57
58 0.57 -0.2765489 0.5292354 -13.94126 22.52800 0.3565676 0.5971328 58
59 0.58 -0.2750151 0.5285511 -13.86684 22.48528 0.3561054 0.5967456 59
60 0.59 -0.2734802 0.5278659 -13.79238 22.44255 0.3556541 0.5963674 60
61 0.60 -0.2719448 0.5271802 -13.71792 22.39981 0.3552138 0.5959981 61
62 0.61 -0.2704094 0.5264942 -13.64348 22.35709 0.3547846 0.5956380 62
63 0.62 -0.2688746 0.5258081 -13.56909 22.31438 0.3543667 0.5952871 63
64 0.63 -0.2673407 0.5251221 -13.49476 22.27172 0.3539601 0.5949455 64
65 0.64 -0.2658082 0.5244364 -13.42053 22.22910 0.3535649 0.5946132 65
66 0.65 -0.2642776 0.5237512 -13.34640 22.18655 0.3531811 0.5942905 66
67 0.66 -0.2627491 0.5230668 -13.27240 22.14407 0.3528088 0.5939771 67
68 0.67 -0.2612234 0.5223832 -13.19854 22.10167 0.3524480 0.5936733 68
69 0.68 -0.2597006 0.5217006 -13.12485 22.05936 0.3520987 0.5933790 69
70 0.69 -0.2581812 0.5210193 -13.05134 22.01716 0.3517608 0.5930942 70
71 0.70 -0.2566655 0.5203394 -12.97803 21.97507 0.3514344 0.5928190 71
72 0.71 -0.2551538 0.5196610 -12.90493 21.93310 0.3511194 0.5925532 72
73 0.72 -0.2536464 0.5189842 -12.83206 21.89126 0.3508157 0.5922970 73
74 0.73 -0.2521437 0.5183093 -12.75943 21.84955 0.3505234 0.5920502 74
75 0.74 -0.2506458 0.5176363 -12.68705 21.80799 0.3502423 0.5918127 75
76 0.75 -0.2491530 0.5169654 -12.61493 21.76658 0.3499724 0.5915847 76
77 0.76 -0.2476657 0.5162966 -12.54310 21.72533 0.3497136 0.5913659 77
78 0.77 -0.2461839 0.5156301 -12.47155 21.68424 0.3494658 0.5911563 78
79 0.78 -0.2447080 0.5149660 -12.40030 21.64332 0.3492289 0.5909559 79
80 0.79 -0.2432382 0.5143044 -12.32935 21.60257 0.3490029 0.5907646 80
81 0.80 -0.2417746 0.5136454 -12.25873 21.56201 0.3487875 0.5905823 81
82 0.81 -0.2403174 0.5129891 -12.18843 21.52163 0.3485827 0.5904089 82
83 0.82 -0.2388668 0.5123355 -12.11846 21.48144 0.3483884 0.5902443 83
84 0.83 -0.2374229 0.5116847 -12.04883 21.44144 0.3482044 0.5900885 84
85 0.84 -0.2359860 0.5110368 -11.97955 21.40164 0.3480306 0.5899412 85
86 0.85 -0.2345561 0.5103920 -11.91063 21.36204 0.3478670 0.5898025 86
87 0.86 -0.2331334 0.5097501 -11.84206 21.32265 0.3477132 0.5896721 87
88 0.87 -0.2317180 0.5091114 -11.77386 21.28347 0.3475693 0.5895501 88
89 0.88 -0.2303101 0.5084758 -11.70604 21.24450 0.3474351 0.5894363 89
90 0.89 -0.2289096 0.5078434 -11.63859 21.20574 0.3473104 0.5893305 90
91 0.90 -0.2275168 0.5072143 -11.57151 21.16720 0.3471952 0.5892327 91
92 0.91 -0.2261316 0.5065885 -11.50483 21.12887 0.3470891 0.5891427 92
93 0.92 -0.2247543 0.5059661 -11.43853 21.09077 0.3469922 0.5890604 93
94 0.93 -0.2233848 0.5053470 -11.37262 21.05289 0.3469042 0.5889858 94
95 0.94 -0.2220233 0.5047313 -11.30711 21.01524 0.3468250 0.5889185 95
96 0.95 -0.2206697 0.5041191 -11.24199 20.97781 0.3467545 0.5888587 96
97 0.96 -0.2193242 0.5035104 -11.17727 20.94061 0.3466925 0.5888060 97
98 0.97 -0.2179869 0.5029052 -11.11296 20.90363 0.3466389 0.5887605 98
99 0.98 -0.2166576 0.5023035 -11.04905 20.86689 0.3465935 0.5887219 99
100 0.99 -0.2153366 0.5017054 -10.98554 20.83038 0.3465561 0.5886902 100
101 1.00 -0.2140237 0.5011108 -10.92244 20.79409 0.3465267 0.5886652 101
MAExl MPExl MAPExl MSExl RMSExl
1 101 1 101 101 101
2 100 2 100 100 100
3 99 3 99 99 99
4 98 4 98 98 98
5 97 5 97 97 97
6 96 6 96 96 96
7 95 7 95 95 95
8 94 8 94 94 94
9 93 9 93 93 93
10 92 10 92 92 92
11 91 11 91 91 91
12 90 12 90 90 90
13 89 13 89 89 89
14 88 14 88 88 88
15 87 15 87 87 87
16 86 16 86 86 86
17 85 17 85 85 85
18 84 18 84 84 84
19 83 19 83 83 83
20 82 20 82 82 82
21 81 21 81 81 81
22 80 22 80 80 80
23 79 23 79 79 79
24 78 24 78 78 78
25 77 25 77 77 77
26 76 26 76 76 76
27 75 27 75 75 75
28 74 28 74 74 74
29 73 29 73 73 73
30 72 30 72 72 72
31 71 31 71 71 71
32 70 32 70 70 70
33 69 33 69 69 69
34 68 34 68 68 68
35 67 35 67 67 67
36 66 36 66 66 66
37 65 37 65 65 65
38 64 38 64 64 64
39 63 39 63 63 63
40 62 40 62 62 62
41 61 41 61 61 61
42 60 42 60 60 60
43 59 43 59 59 59
44 58 44 58 58 58
45 57 45 57 57 57
46 56 46 56 56 56
47 55 47 55 55 55
48 54 48 54 54 54
49 53 49 53 53 53
50 52 50 52 52 52
51 51 51 51 51 51
52 50 52 50 50 50
53 49 53 49 49 49
54 48 54 48 48 48
55 47 55 47 47 47
56 46 56 46 46 46
57 45 57 45 45 45
58 44 58 44 44 44
59 43 59 43 43 43
60 42 60 42 42 42
61 41 61 41 41 41
62 40 62 40 40 40
63 39 63 39 39 39
64 38 64 38 38 38
65 37 65 37 37 37
66 36 66 36 36 36
67 35 67 35 35 35
68 34 68 34 34 34
69 33 69 33 33 33
70 32 70 32 32 32
71 31 71 31 31 31
72 30 72 30 30 30
73 29 73 29 29 29
74 28 74 28 28 28
75 27 75 27 27 27
76 26 76 26 26 26
77 25 77 25 25 25
78 24 78 24 24 24
79 23 79 23 23 23
80 22 80 22 22 22
81 21 81 21 21 21
82 20 82 20 20 20
83 19 83 19 19 19
84 18 84 18 18 18
85 17 85 17 17 17
86 16 86 16 16 16
87 15 87 15 15 15
88 14 88 14 14 14
89 13 89 13 13 13
90 12 90 12 12 12
91 11 91 11 11 11
92 10 92 10 10 10
93 9 93 9 9 9
94 8 94 8 8 8
95 7 95 7 7 7
96 6 96 6 6 6
97 5 97 5 5 5
98 4 98 4 4 4
99 3 99 3 3 3
100 2 100 2 2 2
101 1 101 1 1 1
C values ME MAE MPE MAPE MSE RMSE
1 0.00 -0.3500000 0.3500000 -15.202026 15.202026 0.12250000 0.3500000
2 0.01 -0.3499722 0.3499722 -15.200691 15.200691 0.12248055 0.3499722
3 0.02 -0.3498889 0.3498889 -15.196687 15.196687 0.12242225 0.3498889
4 0.03 -0.3497502 0.3497502 -15.190022 15.190022 0.12232526 0.3497503
5 0.04 -0.3495564 0.3495564 -15.180708 15.180708 0.12218980 0.3495566
6 0.05 -0.3493078 0.3493078 -15.168761 15.168761 0.12201622 0.3493082
7 0.06 -0.3490047 0.3490047 -15.154201 15.154201 0.12180495 0.3490057
8 0.07 -0.3486479 0.3486479 -15.137054 15.137054 0.12155651 0.3486496
9 0.08 -0.3482377 0.3482377 -15.117350 15.117350 0.12127151 0.3482406
10 0.09 -0.3477750 0.3477750 -15.095122 15.095122 0.12095063 0.3477796
11 0.10 -0.3472604 0.3472604 -15.070408 15.070408 0.12059465 0.3472674
12 0.11 -0.3466949 0.3466949 -15.043249 15.043249 0.12020440 0.3467051
13 0.12 -0.3460793 0.3460793 -15.013690 15.013690 0.11978080 0.3460936
14 0.13 -0.3454146 0.3454146 -14.981779 14.981779 0.11932482 0.3454342
15 0.14 -0.3447019 0.3447019 -14.947567 14.947567 0.11883747 0.3447281
16 0.15 -0.3439423 0.3439423 -14.911107 14.911107 0.11831986 0.3439765
17 0.16 -0.3431369 0.3431369 -14.872457 14.872457 0.11777309 0.3431808
18 0.17 -0.3422868 0.3422868 -14.831676 14.831676 0.11719835 0.3423424
19 0.18 -0.3413935 0.3413935 -14.788823 14.788823 0.11659682 0.3414628
20 0.19 -0.3404581 0.3404581 -14.743961 14.743961 0.11596973 0.3405433
21 0.20 -0.3394819 0.3394819 -14.697155 14.697155 0.11531834 0.3395855
22 0.21 -0.3384664 0.3384664 -14.648470 14.648470 0.11464390 0.3385911
23 0.22 -0.3374128 0.3374128 -14.597973 14.597973 0.11394770 0.3375614
24 0.23 -0.3363225 0.3363225 -14.545730 14.545730 0.11323101 0.3364982
25 0.24 -0.3351969 0.3351969 -14.491809 14.491809 0.11249513 0.3354029
26 0.25 -0.3340375 0.3340375 -14.436278 14.436278 0.11174132 0.3342773
27 0.26 -0.3328456 0.3328456 -14.379206 14.379206 0.11097085 0.3331229
28 0.27 -0.3316227 0.3316227 -14.320660 14.320660 0.11018500 0.3319413
29 0.28 -0.3303700 0.3303700 -14.260710 14.260710 0.10938499 0.3307340
30 0.29 -0.3290891 0.3290891 -14.199421 14.199421 0.10857205 0.3295027
31 0.30 -0.3277813 0.3277813 -14.136861 14.136861 0.10774739 0.3282490
32 0.31 -0.3264480 0.3264480 -14.073097 14.073097 0.10691217 0.3269743
33 0.32 -0.3250905 0.3250905 -14.008193 14.008193 0.10606755 0.3256801
34 0.33 -0.3237102 0.3237102 -13.942214 13.942214 0.10521464 0.3243681
35 0.34 -0.3223084 0.3223084 -13.875224 13.875224 0.10435452 0.3230395
36 0.35 -0.3208863 0.3208863 -13.807283 13.807283 0.10348825 0.3216959
37 0.36 -0.3194452 0.3194452 -13.738454 13.738454 0.10261685 0.3203387
38 0.37 -0.3179864 0.3179864 -13.668795 13.668795 0.10174130 0.3189691
39 0.38 -0.3165110 0.3165110 -13.598365 13.598365 0.10086254 0.3175886
40 0.39 -0.3150203 0.3150203 -13.527220 13.527220 0.09998149 0.3161985
41 0.40 -0.3135154 0.3135154 -13.455416 13.455416 0.09909901 0.3148000
42 0.41 -0.3119974 0.3119974 -13.383005 13.383005 0.09821594 0.3133942
43 0.42 -0.3104673 0.3104673 -13.310039 13.310039 0.09733307 0.3119825
44 0.43 -0.3089263 0.3089263 -13.236570 13.236570 0.09645117 0.3105659
45 0.44 -0.3073754 0.3073754 -13.162645 13.162645 0.09557095 0.3091455
46 0.45 -0.3058156 0.3058156 -13.088313 13.088313 0.09469310 0.3077224
47 0.46 -0.3042477 0.3042477 -13.013617 13.013617 0.09381827 0.3062977
48 0.47 -0.3026727 0.3026727 -12.938603 12.938603 0.09294708 0.3048722
49 0.48 -0.3010916 0.3010916 -12.863312 12.863312 0.09208009 0.3034470
50 0.49 -0.2995052 0.2995052 -12.787785 12.787785 0.09121786 0.3020229
51 0.50 -0.2979142 0.2979142 -12.712061 12.712061 0.09036090 0.3006009
52 0.51 -0.2963195 0.2963195 -12.636179 12.636179 0.08950968 0.2991817
53 0.52 -0.2947219 0.2947219 -12.560173 12.560173 0.08866466 0.2977661
54 0.53 -0.2931220 0.2931220 -12.484078 12.484078 0.08782625 0.2963549
55 0.54 -0.2915206 0.2915206 -12.407928 12.407928 0.08699485 0.2949489
56 0.55 -0.2899184 0.2899184 -12.331754 12.331754 0.08617080 0.2935486
57 0.56 -0.2883159 0.2883159 -12.255587 12.255587 0.08535446 0.2921549
58 0.57 -0.2867139 0.2867139 -12.179454 12.179454 0.08454611 0.2907681
59 0.58 -0.2851128 0.2851128 -12.103385 12.103385 0.08374605 0.2893891
60 0.59 -0.2835133 0.2835133 -12.027404 12.027404 0.08295454 0.2880183
61 0.60 -0.2819158 0.2819158 -11.951538 11.951538 0.08217180 0.2866562
62 0.61 -0.2803209 0.2803209 -11.875809 11.875809 0.08139806 0.2853034
63 0.62 -0.2787291 0.2787291 -11.800241 11.800241 0.08063349 0.2839604
64 0.63 -0.2771409 0.2771409 -11.724855 11.724855 0.07987829 0.2826275
65 0.64 -0.2755565 0.2755565 -11.649671 11.649671 0.07913259 0.2813052
66 0.65 -0.2739766 0.2739766 -11.574708 11.574708 0.07839653 0.2799938
67 0.66 -0.2724014 0.2724014 -11.499985 11.499985 0.07767024 0.2786938
68 0.67 -0.2708314 0.2708314 -11.425519 11.425519 0.07695381 0.2774055
69 0.68 -0.2692668 0.2692668 -11.351326 11.351326 0.07624733 0.2761292
70 0.69 -0.2677081 0.2677081 -11.277422 11.277422 0.07555087 0.2748652
71 0.70 -0.2661555 0.2661555 -11.203821 11.203821 0.07486448 0.2736138
72 0.71 -0.2646093 0.2646093 -11.130537 11.130537 0.07418822 0.2723752
73 0.72 -0.2630698 0.2630698 -11.057581 11.057581 0.07352212 0.2711496
74 0.73 -0.2615373 0.2615373 -10.984968 10.984968 0.07286618 0.2699374
75 0.74 -0.2600120 0.2600120 -10.912707 10.912707 0.07222043 0.2687386
76 0.75 -0.2584941 0.2584941 -10.840809 10.840809 0.07158487 0.2675535
77 0.76 -0.2569839 0.2569839 -10.769284 10.769284 0.07095948 0.2663822
78 0.77 -0.2554815 0.2554815 -10.698141 10.698141 0.07034425 0.2652249
79 0.78 -0.2539872 0.2539872 -10.627389 10.627389 0.06973914 0.2640817
80 0.79 -0.2525011 0.2525011 -10.557035 10.557035 0.06914413 0.2629527
81 0.80 -0.2510233 0.2510233 -10.487087 10.487087 0.06855916 0.2618380
82 0.81 -0.2495541 0.2495541 -10.417551 10.417551 0.06798420 0.2607378
83 0.82 -0.2480935 0.2480935 -10.348434 10.348434 0.06741919 0.2596520
84 0.83 -0.2466417 0.2466417 -10.279742 10.279742 0.06686405 0.2585808
85 0.84 -0.2451988 0.2451988 -10.211479 10.211479 0.06631874 0.2575243
86 0.85 -0.2437649 0.2437649 -10.143650 10.143650 0.06578317 0.2564823
87 0.86 -0.2423401 0.2423401 -10.076259 10.076259 0.06525727 0.2554550
88 0.87 -0.2409245 0.2409245 -10.009311 10.009311 0.06474097 0.2544425
89 0.88 -0.2395182 0.2395182 -9.942809 9.942809 0.06423416 0.2534446
90 0.89 -0.2381212 0.2381212 -9.876756 9.876756 0.06373678 0.2524614
91 0.90 -0.2367336 0.2367336 -9.811154 9.811154 0.06324872 0.2514930
92 0.91 -0.2353555 0.2353555 -9.746006 9.746006 0.06276989 0.2505392
93 0.92 -0.2339868 0.2339868 -9.681314 9.681314 0.06230020 0.2496001
94 0.93 -0.2326278 0.2326278 -9.617079 9.617079 0.06183955 0.2486756
95 0.94 -0.2312783 0.2312783 -9.553304 9.553304 0.06138783 0.2477657
96 0.95 -0.2299384 0.2299384 -9.489988 9.489988 0.06094495 0.2468703
97 0.96 -0.2286081 0.2286081 -9.427134 9.427134 0.06051080 0.2459894
98 0.97 -0.2272875 0.2272875 -9.364740 9.364740 0.06008527 0.2451230
99 0.98 -0.2259766 0.2259766 -9.302809 9.302809 0.05966825 0.2442709
100 0.99 -0.2246753 0.2246753 -9.241339 9.241339 0.05925965 0.2434330
101 1.00 -0.2233837 0.2233837 -9.180331 9.180331 0.05885934 0.2426094
MExl MAExl MPExl MAPExl MSExl RMSExl
1 1 101 1 101 101 101
2 2 100 2 100 100 100
3 3 99 3 99 99 99
4 4 98 4 98 98 98
5 5 97 5 97 97 97
6 6 96 6 96 96 96
7 7 95 7 95 95 95
8 8 94 8 94 94 94
9 9 93 9 93 93 93
10 10 92 10 92 92 92
11 11 91 11 91 91 91
12 12 90 12 90 90 90
13 13 89 13 89 89 89
14 14 88 14 88 88 88
15 15 87 15 87 87 87
16 16 86 16 86 86 86
17 17 85 17 85 85 85
18 18 84 18 84 84 84
19 19 83 19 83 83 83
20 20 82 20 82 82 82
21 21 81 21 81 81 81
22 22 80 22 80 80 80
23 23 79 23 79 79 79
24 24 78 24 78 78 78
25 25 77 25 77 77 77
26 26 76 26 76 76 76
27 27 75 27 75 75 75
28 28 74 28 74 74 74
29 29 73 29 73 73 73
30 30 72 30 72 72 72
31 31 71 31 71 71 71
32 32 70 32 70 70 70
33 33 69 33 69 69 69
34 34 68 34 68 68 68
35 35 67 35 67 67 67
36 36 66 36 66 66 66
37 37 65 37 65 65 65
38 38 64 38 64 64 64
39 39 63 39 63 63 63
40 40 62 40 62 62 62
41 41 61 41 61 61 61
42 42 60 42 60 60 60
43 43 59 43 59 59 59
44 44 58 44 58 58 58
45 45 57 45 57 57 57
46 46 56 46 56 56 56
47 47 55 47 55 55 55
48 48 54 48 54 54 54
49 49 53 49 53 53 53
50 50 52 50 52 52 52
51 51 51 51 51 51 51
52 52 50 52 50 50 50
53 53 49 53 49 49 49
54 54 48 54 48 48 48
55 55 47 55 47 47 47
56 56 46 56 46 46 46
57 57 45 57 45 45 45
58 58 44 58 44 44 44
59 59 43 59 43 43 43
60 60 42 60 42 42 42
61 61 41 61 41 41 41
62 62 40 62 40 40 40
63 63 39 63 39 39 39
64 64 38 64 38 38 38
65 65 37 65 37 37 37
66 66 36 66 36 36 36
67 67 35 67 35 35 35
68 68 34 68 34 34 34
69 69 33 69 33 33 33
70 70 32 70 32 32 32
71 71 31 71 31 31 31
72 72 30 72 30 30 30
73 73 29 73 29 29 29
74 74 28 74 28 28 28
75 75 27 75 27 27 27
76 76 26 76 26 26 26
77 77 25 77 25 25 25
78 78 24 78 24 24 24
79 79 23 79 23 23 23
80 80 22 80 22 22 22
81 81 21 81 21 21 21
82 82 20 82 20 20 20
83 83 19 83 19 19 19
84 84 18 84 18 18 18
85 85 17 85 17 17 17
86 86 16 86 16 16 16
87 87 15 87 15 15 15
88 88 14 88 14 14 14
89 89 13 89 13 13 13
90 90 12 90 12 12 12
91 91 11 91 11 11 11
92 92 10 92 10 10 10
93 93 9 93 9 9 9
94 94 8 94 8 8 8
95 95 7 95 7 7 7
96 96 6 96 6 6 6
97 97 5 97 5 5 5
98 98 4 98 4 4 4
99 99 3 99 3 3 3
100 100 2 100 2 2 2
101 101 1 101 1 1 1
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