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) | | | |
| 2 | 3 | 0.02332234 | 0.04529824 | 0.00589787 | 1.942268 | 7.680441 | 3.954367 | 4 | 0.01381014 | 0.03470658 | 0.002580012 | 2.513122 | 13.452100 | 5.352743 | 5 | 0.009193211 | 0.02779215 | 0.001352259 | 3.023116 | 20.552387 | 6.798410 | 6 | 0.00659181 | 0.02279101 | 0.0008011307 | 3.457473 | 28.448554 | 8.228133 | 5 | 3 | 0.009292055 | 0.01775528 | 0.002399531 | 1.910802 | 7.399479 | 3.872446 | 4 | 0.005570443 | 0.01392200 | 0.001050541 | 2.499263 | 13.252220 | 5.302452 | 5 | 0.003769394 | 0.01075287 | 0.0005584852 | 2.852678 | 19.253635 | 6.749318 | 6 | 0.00268615 | 0.009290222 | 0.0003206307 | 3.458554 | 28.974836 | 8.377707 | 20 | 3 | 0.002275199 | 0.004430962 | 0.0006094044 | 1.947505 | 7.270971 | 3.733480 | 4 | 0.001390079 | 0.003490160 | 0.0002649288 | 2.510764 | 13.173955 | 5.246991 | 5 | 0.0009236206 | 0.002648793 | 0.0001380824 | 2.867836 | 19.182698 | 6.688909 | 6 | 0.0006634941 | 0.002265676 | | 3.414765 | 27.939075 | 8.181846 | 100 | 3 | 0.000461317 | 0.00090545 | 0.0001197988 | 1.962750 | 7.558089 | 3.850765 | 4 | 0.0002732137 | 0.0006699247 | | 2.452017 | 12.697695 | 5.178469 | 5 | 0.0001887224 | 0.0005433437 | | 2.879063 | 19.466598 | 6.761435 | 6 | 0.0001309059 | 0.0004580686 | | 3.499220 | 28.122036 | 8.036658 | 200 | 3 | 0.0002253251 | 0.0004546124 | | 2.017584 | 7.540676 | 3.737477 | 4 | 0.0001392043 | 0.0003422813 | | 2.458842 | 13.155315 | 5.350209 | 5 | | 0.0002770614 | | 2.995065 | 19.420718 | 6.484240 | 6 | | 0.0002295553 | | 3.439278 | 29.074772 | 8.453742 | 500 | 3 | | 0.0001802806 | | 1.902912 | 7.376671 | 3.876517 | 4 | | 0.0001383186 | | 2.467178 | 12.874499 | 5.218309 | 5 | | 0.0001102943 | | 2.981350 | 20.079053 | 6.734884 | 6 | | | | 3.337793 | 27.314198 | 8.183310 |
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