Zenga's New Index of Economic Inequality, Its Estimation, and an Analysis of Incomes in Italy

Table 1

Coverage proportions of confidence intervals from the Pareto parent distribution with 𝑥₀=1 and 𝜃=2.06 (𝑍_𝐹=0.6).

	𝑍𝑛				𝑍𝑛
	0.9000	0.9500	0.9750	0.9900	0.9000	0.9500	0.9750	0.9900
𝑛	Normal confidence intervals
200	0.7915	0.8560	0.8954	0.9281	0.7881	0.8527	0.8926	0.9266
400	0.8059	0.8705	0.9083	0.9409	0.8047	0.8693	0.9078	0.9396
800	0.8256	0.8889	0.9245	0.9514	0.8246	0.8882	0.9237	0.9503
𝑛	Percentile confidence intervals
200	0.7763	0.8326	0.8684	0.9002	0.7629	0.8190	0.8567	0.8892
400	0.8004	0.8543	0.8919	0.9218	0.7934	0.8487	0.8864	0.9179
800	0.8210	0.8777	0.9138	0.9415	0.8168	0.8751	0.9119	0.9393
𝑛	BCa confidence intervals
200	0.8082	0.8684	0.9077	0.9383	0.8054	0.867	0.9047	0.9374
400	0.8205	0.8863	0.9226	0.9531	0.8204	0.886	0.9212	0.9523
800	0.8343	0.8987	0.9331	0.9634	0.8338	0.8983	0.9323	0.9634
𝑛	𝑡-bootstrap confidence intervals
200	0.8475	0.9041	0.9385	0.9658	0.8485	0.9049	0.9400	0.9675
400	0.8535	0.9124	0.9462	0.9708	0.8534	0.9120	0.9463	0.9709
800	0.8580	0.9168	0.9507	0.9758	0.8572	0.9169	0.9504	0.9754