Research Article
Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling
Table 14
Relative efficiency of absolute Lorenz index for rectangular (
) distribution.
| | | MSE (RSS) | MSE (SRS) | MSE (SYS) | | | |
| | 2 | 3 | 0.0018881 | 0.002099699 | 0.00105751 | 1.11207 | 1.985512 | 1.785420 | | 4 | 0.001239755 | 0.001571081 | 0.0004786396 | 1.267251 | 3.282388 | 2.590164 | | 5 | 0.0008749366 | 0.001232462 | 0.0002404251 | 1.408630 | 5.126179 | 3.639123 | | 6 | 0.0006767988 | 0.001043956 | 0.0001412633 | 1.542491 | 7.390143 | 4.791045 | | 5 | 3 | 0.0007426104 | 0.000812753 | 0.0004213969 | 1.094454 | 1.928711 | 1.762259 | | 4 | 0.0005023406 | 0.0006275718 | 0.0001826594 | 1.249295 | 3.435749 | 2.750149 | | 5 | 0.0003583338 | 0.0005023294 | | 1.401848 | 5.161965 | 3.682258 | | 6 | 0.0002722183 | 0.0004232076 | | 1.554662 | 7.621384 | 4.902275 | | 20 | 3 | 0.0001900359 | 0.0002072712 | | 1.090695 | 1.942699 | 1.781157 | | 4 | 0.0001270530 | 0.0001569948 | | 1.235664 | 3.484338 | 2.819811 | | 5 | | 0.0001217164 | | 1.320345 | 5.043047 | 3.819492 | | 6 | | 0.0001039845 | | 1.496521 | 7.259515 | 4.850928 | | 100 | 3 | | | | 1.084339 | 1.907901 | 1.759507 | | 4 | | | | 1.241990 | 3.295177 | 2.653143 | | 5 | | | | 1.373609 | 5.088021 | 3.704128 | | 6 | | | | 1.534990 | 7.168388 | 4.669990 | | 200 | 3 | | | | 1.108077 | 1.966270 | 1.774490 | | 4 | | | | 1.221911 | 3.328998 | 2.724419 | | 5 | | | | 1.367635 | 5.065401 | 3.703768 | | 6 | | | | 1.584246 | 7.512110 | 4.741755 | | 500 | 3 | | | | 1.106621 | 1.976053 | 1.785665 | | 4 | | | | 1.281139 | 3.418179 | 2.668078 | | 5 | | | | 1.384923 | 5.078039 | 3.666657 | | 6 | | | | 1.586569 | 7.412973 | 4.672330 |
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