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

Table 1

Simple random estimates of inequality indices.

Inequality indices	Simple random sampling estimates
Gini index (𝐺)	2𝐺=1−𝑛^𝑛𝑖∑=1𝐿𝑝𝑖
Bonferroni index (𝐵)	1𝐵=1−𝑛^𝑛𝑖∑=1𝐵𝑝𝑖
Absolute Lorenz index (𝐴)	1𝐴=−𝑛^𝑛𝑖∑=1AL𝑝𝑖