Research Article
Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling
Table 11
Relative efficiency of Bonferroni index for exponential distribution.
| | | MSE (RSS) | MSE (SRS) | MSE (SYS) | | | |
| | 2 | 3 | 0.005826023 | 0.01085295 | 0.001687301 | 1.86284 | 6.432136 | 3.452865 | | 4 | 0.003477376 | 0.008182712 | 0.0007416163 | 2.353128 | 11.033619 | 4.688915 | | 5 | 0.002229820 | 0.006484168 | 0.0003876997 | 2.907933 | 16.724718 | 5.751410 | | 6 | 0.001690472 | 0.005454195 | 0.0002310937 | 3.226432 | 23.601660 | 7.315093 | | 5 | 3 | 0.002319801 | 0.004423554 | 0.0006583515 | 1.906868 | 6.719137 | 3.523651 | | 4 | 0.001337874 | 0.003238717 | 0.0002952573 | 2.420794 | 10.969134 | 4.531214 | | 5 | 0.0009042652 | 0.002668140 | 0.0001607564 | 2.950617 | 16.597411 | 5.625065 | | 6 | 0.0006640723 | 0.002151227 | | 3.239447 | 22.904058 | 7.070361 | | 20 | 3 | 0.0005728049 | 0.001073308 | | 1.873776 | 6.362629 | 3.395619 | | 4 | 0.0003477821 | 0.0008003468 | | 2.301288 | 10.477729 | 4.552985 | | 5 | 0.0002317084 | 0.0006640685 | | 2.865966 | 16.117999 | 5.623932 | | 6 | 0.0001682733 | 0.0005685107 | | 3.378496 | 22.830737 | 6.757663 | | 100 | 3 | 0.0001145552 | 0.0002185333 | | 1.907668 | 6.321112 | 3.313528 | | 4 | | 0.0001665346 | | 2.363148 | 10.187814 | 4.311121 | | 5 | | 0.0001299972 | | 2.727103 | 13.133893 | 4.816060 | | 6 | | 0.0001080593 | | 3.20796 | 16.650706 | 5.190422 | | 200 | 3 | | 0.0001113661 | | 1.898254 | 6.062895 | 3.193932 | | 4 | | | | 2.292238 | 8.972654 | 3.914364 | | 5 | | | | 2.772329 | 11.990390 | 4.325024 | | 6 | | | | 3.120819 | 14.223219 | 4.557527 | | 500 | 3 | | | | 1.816505 | 5.313044 | 2.924873 | | 4 | | | | 2.250106 | 7.593678 | 3.374810 | | 5 | | | | 2.520520 | 8.659752 | 3.435701 | | 6 | | | | 2.813653 | 8.963752 | 3.185806 |
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