Rrss: Selecting a robust ranked set sample
In RSSampling: Ranked Set Sampling

Description Usage Arguments Details Value References See Also Examples

The Rrss function samples from a target population by using robust ranked set sampling methods.

1	Rrss(X,m,r=1,type="l",sets=FALSE,alpha)

`X`	A vector of target population
`m`	Size of units in each set
`r`	Number of cycles. (By default = 1)
`type`	type of the modified RSS method. "l" for L-RSS, "tb" for truncation-based RSS, "re" for robust extreme RSS. (By default = "l")
`sets`	logical; if TRUE, ranked set samples are given with ranked sets (see `rankedsets`)
`alpha`	Coefficient of the method

Target population X must be a vector. Coefficient of the method must be between 0 and 0.5.

`sets`	the ranked sets where ranked set sample is chosen from
`sample`	the obtained ranked set sample of X

Al-Nasser, A. D. (2007). L ranked set sampling: A generalization procedure for robust visual sampling. Communications in Statistics-Simulation and Computation, 36(1), 33?43.

Al-Omari, A. I., & Raqab, M. Z. (2013). Estimation of the population mean and median using truncation-based ranked set samples. Journal of Statistical Computation and Simulation, 83(8), 1453?1471.

Al-Nasser, A. D., & Mustafa, A. B. (2009). Robust extreme ranked set sampling. Journal of Statistical Computation and Simulation, 79(7), 859?867.

con.Mrss, Rrss, Drss

 data=rexp(10000)
 ## Selecting L-ranked set sample
 Rrss(data, m=8, r=3, sets=TRUE, alpha=0.2)
  ## Selecting Truncation-based ranked set sample
 Rrss(data, m=8, r=3, type="tb", sets=TRUE, alpha=0.1)
  ## Selecting Robust extreme ranked set sample
 Rrss(data, m=8, r=3, type="re", sets=TRUE, alpha=0.4)

$sets
             [,1]       [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.046149033 0.20294414 0.2394215 0.5588065 0.6829498 0.9636936 1.1519091
 [2,] 0.010175366 0.40016058 0.5398286 0.6614573 0.6694058 0.9361208 0.9610409
 [3,] 0.024508259 0.13959716 0.1650351 0.2618390 0.2675018 0.4303705 1.3945965
 [4,] 0.058097882 0.06815145 0.2728981 0.8381496 0.9276434 1.0449129 1.1265981
 [5,] 0.100130393 0.17682702 0.2971644 0.3656109 0.3673222 0.7772025 3.5201026
 [6,] 0.058764888 0.10838964 0.1709454 0.3063667 0.6081557 0.6416077 1.0377324
 [7,] 0.076623329 0.19035497 0.2105305 0.2882953 0.3330487 0.8398124 2.3185491
 [8,] 0.143353654 0.54459141 0.5902125 0.8005671 1.2904894 1.3331779 1.4805247
 [9,] 0.024603112 0.07869380 0.5947063 0.9625878 1.3582083 2.0840630 2.2659162
[10,] 0.105140764 0.13810895 0.5570328 0.9929734 1.2860903 1.5467836 1.7801156
[11,] 0.117181520 0.23066913 0.2470658 0.2594410 0.2952734 0.3183357 0.5614388
[12,] 0.300060389 0.64349778 1.0186622 1.0629563 1.0681234 1.2115529 1.4114141
[13,] 0.087183295 0.21135759 0.3832759 1.1010349 1.2146789 1.8244404 1.9247554
[14,] 0.178433957 0.23817940 0.2464445 0.4044165 0.5861729 1.0054906 1.0325307
[15,] 0.033585716 0.05361702 0.2369236 0.4232913 0.8705905 1.0581451 1.7492647
[16,] 0.029846305 0.23567497 0.3248647 0.8337881 1.1136499 1.2194474 1.2751593
[17,] 0.053922218 0.40261928 0.8748426 0.8851021 0.9170311 0.9509843 1.0579889
[18,] 0.015046662 0.05287011 0.1674665 0.2760766 0.6902366 0.7021301 0.9747296
[19,] 0.010933740 0.33259360 0.4303705 0.4990569 0.5038812 1.1356834 2.1442818
[20,] 0.115884356 0.17323467 0.5127627 0.7939089 0.8752851 1.6125966 1.7209608
[21,] 0.138612939 0.25711581 0.5217728 0.5696035 0.7751267 1.2167691 1.4383093
[22,] 0.045515921 0.12978772 0.2336221 0.3617135 0.4066844 0.6249275 1.0770184
[23,] 0.006147864 0.33697214 0.4963769 0.8290382 0.8673089 1.2706101 1.4527990
[24,] 0.059735543 0.09692107 0.3880135 0.6495582 0.7079550 1.0158103 2.5238257
          [,8]
 [1,] 1.223972
 [2,] 3.034762
 [3,] 2.042186
 [4,] 1.474477
 [5,] 4.166205
 [6,] 1.442593
 [7,] 2.489745
 [8,] 4.277480
 [9,] 3.962437
[10,] 5.919266
[11,] 1.886565
[12,] 1.535420
[13,] 2.129908
[14,] 1.405110
[15,] 1.767447
[16,] 3.926796
[17,] 1.089353
[18,] 1.652309
[19,] 3.092176
[20,] 2.369768
[21,] 1.923965
[22,] 2.817538
[23,] 2.186865
[24,] 3.146476

$samples
          m = 1      m = 2     m = 3     m = 4     m = 5     m = 6    m = 7
r = 1 0.2029441 0.40016058 0.1650351 0.8381496 0.3673222 0.6416077 2.318549
r = 2 0.0786938 0.13810895 0.2470658 1.0629563 1.2146789 1.0054906 1.749265
r = 3 0.4026193 0.05287011 0.4303705 0.7939089 0.7751267 0.6249275 1.452799
         m = 8
r = 1 1.480525
r = 2 1.275159
r = 3 2.523826

$sets
            [,1]       [,2]       [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.12028287 0.14097826 0.19057904 0.2750540 0.8340777 0.8648980 1.5872593
 [2,] 0.04282221 0.05761815 0.07216414 0.1289479 0.1785337 0.7981046 1.7088215
 [3,] 0.11539262 0.13778118 0.17862674 0.2374016 0.3305854 0.6263834 2.5657258
 [4,] 0.22029015 0.74134581 0.97434916 1.0115940 1.0877161 1.9405414 2.5067558
 [5,] 0.04661019 0.09530257 0.13322765 0.2376188 0.5088213 0.6537322 0.8673089
 [6,] 0.05463886 0.11420998 0.20990099 0.2178157 0.6436288 1.2089486 1.3397370
 [7,] 0.14821362 0.34506207 0.62857077 0.6597558 0.7106503 1.0692565 1.9285816
 [8,] 0.02307438 0.09973521 0.27607147 0.7678277 1.1222770 1.3067311 1.6170643
 [9,] 0.10728689 0.63384337 0.85176467 1.1800036 1.2257948 1.5857324 1.6154693
[10,] 0.08865273 0.09010244 0.13154793 0.2775392 0.2852569 0.2957854 0.9144115
[11,] 0.16072678 0.26999426 0.72197217 0.7744483 0.9761126 1.0013879 1.1096404
[12,] 0.30699661 0.31930383 0.32089871 0.4719950 0.5526391 0.9981053 1.0523000
[13,] 0.01339745 0.18521067 0.30841948 0.6983887 0.7296656 0.8746693 1.3253478
[14,] 0.02327144 0.04816219 0.25140826 0.5263139 0.5613123 0.5952963 0.7519700
[15,] 0.02988286 0.14776782 0.18376599 0.3407053 0.3494585 0.3505199 0.3774857
[16,] 0.43499279 0.69728975 0.81760152 1.0173529 1.3565551 1.5578142 1.9520895
[17,] 0.03715377 0.35711777 0.48291684 1.5162425 1.6392464 2.5009819 2.6937578
[18,] 0.09070430 0.15562362 0.21352761 0.2265066 0.8158331 1.3773345 1.7490054
[19,] 0.09604207 0.10639148 0.13724722 0.4018336 1.0073899 1.1224823 1.6178599
[20,] 0.02414326 0.20574151 0.77876906 0.9869166 1.1823569 1.9860248 2.2752167
[21,] 0.05793362 0.07409566 0.20148251 0.3181804 0.4684519 0.6219437 0.7841431
[22,] 0.04357129 0.41447329 0.70379251 0.7885361 0.8142899 1.2208314 1.5837854
[23,] 0.13699236 0.24581947 0.38207202 0.4412812 0.6069268 1.9545910 2.7978525
[24,] 0.02328242 0.12329987 0.26034816 0.2785472 0.2979792 0.6007422 0.6474189
           [,8]
 [1,] 1.7300974
 [2,] 1.9680493
 [3,] 2.7361623
 [4,] 2.7448774
 [5,] 0.9417083
 [6,] 1.3870316
 [7,] 3.8256333
 [8,] 3.8923862
 [9,] 4.4407236
[10,] 1.1865139
[11,] 1.3279114
[12,] 1.0942223
[13,] 1.3985182
[14,] 1.2356817
[15,] 0.4562767
[16,] 2.1150642
[17,] 3.7343671
[18,] 2.0588204
[19,] 1.9285816
[20,] 2.8233218
[21,] 3.6992293
[22,] 3.7819127
[23,] 3.3726020
[24,] 4.1222103

$samples
           m = 1      m = 2     m = 3     m = 4     m = 5     m = 6     m = 7
r = 1 0.12028287 0.05761815 0.1786267 1.0115940 0.5088213 1.2089486 1.9285816
r = 2 0.10728689 0.09010244 0.7219722 0.4719950 0.7296656 0.5952963 0.3774857
r = 3 0.03715377 0.15562362 0.1372472 0.9869166 0.4684519 1.2208314 2.7978525
         m = 8
r = 1 3.892386
r = 2 2.115064
r = 3 4.122210

$sets
             [,1]       [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
 [1,] 0.163827140 0.39153483 0.4372983 0.4963769 0.7592437 0.8476517 1.1930775
 [2,] 0.030892574 0.06781070 0.3708735 0.4916483 0.5375357 0.6141160 1.4416399
 [3,] 0.030022729 0.17240299 0.6138903 1.1923324 1.4063554 1.6162792 1.6780132
 [4,] 0.023677709 0.02651708 0.1972965 0.4264098 0.4434899 0.5976179 1.2208370
 [5,] 0.134408082 0.28065324 0.4758351 0.4792797 0.5051694 0.7519700 1.6141142
 [6,] 0.095567924 0.14375397 0.3151755 0.7370071 1.3754803 1.4053296 1.8644402
 [7,] 0.081288124 0.23761876 0.3158652 1.2324444 1.2466234 2.3815669 2.4196491
 [8,] 0.051860173 0.10025861 0.5399306 0.5654888 0.5947063 0.8372000 0.8381496
 [9,] 0.049949747 0.45172427 0.4600588 0.6192764 1.1574979 1.6750730 1.6809603
[10,] 0.023724447 0.31817202 0.6667990 0.7334677 0.7632456 0.9014455 1.6130583
[11,] 0.238179395 0.24756662 0.2645523 0.3817016 0.9200055 1.1586476 2.4808679
[12,] 0.076784844 0.10843980 0.3599185 0.4001606 0.5399306 0.5814339 0.9429973
[13,] 0.004525698 0.09343277 0.2838428 0.2994775 0.3772075 1.1929781 1.7564127
[14,] 0.050542871 0.15851241 0.2036752 0.5436095 1.3336096 1.4191523 2.3600645
[15,] 0.052979157 0.26816626 0.3396362 0.4949285 0.4986634 1.0200938 1.4002692
[16,] 0.006147843 0.07235857 0.1760331 0.2459241 0.2561515 0.5467642 0.7699379
[17,] 0.059163848 0.26782595 0.4533661 0.6646370 0.8081857 1.6545567 1.9294221
[18,] 0.437582413 0.56381894 0.6537723 0.6676958 0.6895302 0.7845218 0.8154995
[19,] 0.096555402 0.12599469 0.4344431 0.4811139 0.5614388 0.6647566 1.3798670
[20,] 0.073530978 0.23826819 0.3555000 0.4636088 1.0327248 1.6728603 2.2927113
[21,] 0.006033336 0.12587052 0.6325518 0.8498093 0.8677350 0.9659766 1.1363347
[22,] 0.008332645 0.06511661 0.1496787 0.5592345 0.6804482 0.8454756 0.9421022
[23,] 0.261885243 0.30841899 0.3309159 0.4984436 0.5034315 0.9999125 1.7958546
[24,] 0.077623097 0.11372810 0.1394295 0.1837660 0.2042116 0.2150814 0.4074077
           [,8]
 [1,] 2.0371674
 [2,] 1.8335493
 [3,] 2.9611872
 [4,] 1.3183032
 [5,] 3.7829538
 [6,] 2.9336629
 [7,] 3.5166646
 [8,] 1.8509232
 [9,] 2.2906354
[10,] 1.7923086
[11,] 3.5275603
[12,] 1.0302530
[13,] 1.8705465
[14,] 2.4337222
[15,] 2.7676034
[16,] 0.8946365
[17,] 2.8020093
[18,] 1.8638740
[19,] 2.5712280
[20,] 2.6789119
[21,] 1.4674511
[22,] 2.1688660
[23,] 4.4531039
[24,] 1.1456914

$samples
          m = 1     m = 2     m = 3     m = 4     m = 5     m = 6     m = 7
r = 1 0.4963769 0.4916483 1.1923324 0.4264098 0.5051694 1.3754803 1.2466234
r = 2 0.6192764 0.7334677 0.3817016 0.4001606 0.3772075 1.3336096 0.4986634
r = 3 0.6646370 0.6676958 0.4811139 0.4636088 0.8677350 0.6804482 0.5034315
          m = 8
r = 1 0.5947063
r = 2 0.2561515
r = 3 0.2042116