International Scholarly Research Notices

Research Article

Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling

Table 8

Relative efficiency of Gini index for pareto ( ) distribution.
MSE (RSS)MSE (SRS)MSE (SYS)
230.023322340.045298240.005897871.9422687.680441 3.954367
40.013810140.034706580.0025800122.51312213.452100 5.352743
50.0091932110.027792150.0013522593.02311620.552387 6.798410
60.006591810.022791010.00080113073.45747328.4485548.228133
530.0092920550.017755280.0023995311.9108027.399479 3.872446
40.0055704430.013922000.0010505412.49926313.252220 5.302452
50.0037693940.010752870.00055848522.85267819.253635 6.749318
60.002686150.0092902220.00032063073.45855428.9748368.377707
2030.0022751990.0044309620.00060940441.9475057.270971 3.733480
40.0013900790.0034901600.00026492882.51076413.173955 5.246991
50.00092362060.0026487930.00013808242.86783619.182698 6.688909
60.00066349410.002265676 3.41476527.9390758.181846
10030.0004613170.000905450.00011979881.9627507.558089 3.850765
40.00027321370.0006699247 2.45201712.697695 5.178469
50.0001887224 0.0005433437 2.87906319.4665986.761435
60.00013090590.0004580686 3.49922028.1220368.036658
20030.00022532510.0004546124 2.0175847.540676 3.737477
40.00013920430.0003422813 2.45884213.155315 5.350209
5 0.0002770614 2.99506519.420718 6.484240
6 0.0002295553 3.43927829.0747728.453742
5003 0.0001802806 1.9029127.376671 3.876517
4 0.0001383186 2.46717812.874499 5.218309
5 0.0001102943 2.98135020.079053 6.734884
6 3.33779327.3141988.183310