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

Table 3

Systematic sample estimates of inequality indices.

Inequality indices	Systematic random sampling estimates
Gini index (𝐺)	2𝐺=1−𝑁^𝑚∑∑^𝑁𝑖=1^𝑖𝑘𝑖=1𝑔𝑝^′𝐾𝑖
Bonferroni index (𝐵)	1𝐵=1−𝑁^𝑚∑∑^𝑁𝑖=1^𝑖𝑘𝑖=1𝑔𝑝^′𝐾𝑖
Absolute Lorenz index (𝐴)	1𝐴=−𝑁^𝑚∑∑^𝑁𝑖=1^𝑖𝑘𝑖=1𝑔𝑝^′𝐾𝑖