Journal of Probability and Statistics / 2010 / Article / Tab 1

Research Article

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 π‘₯ 0 = 1 and πœƒ = 2 . 0 6 ( 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
2000.79150.85600.89540.9281 0.78810.85270.89260.9266
4000.80590.87050.90830.9409 0.80470.86930.90780.9396
8000.82560.88890.92450.9514 0.82460.88820.92370.9503

𝑛 Percentile confidence intervals
2000.77630.83260.86840.9002 0.76290.81900.85670.8892
4000.80040.85430.89190.9218 0.79340.84870.88640.9179
8000.82100.87770.91380.9415 0.81680.87510.91190.9393

𝑛 BCa confidence intervals
2000.80820.86840.90770.9383 0.80540.8670.90470.9374
4000.82050.88630.92260.9531 0.82040.8860.92120.9523
8000.83430.89870.93310.9634 0.83380.89830.93230.9634

𝑛 𝑑 -bootstrap confidence intervals
2000.84750.90410.93850.9658 0.84850.90490.94000.9675
4000.85350.91240.94620.9708 0.85340.91200.94630.9709
8000.85800.91680.95070.9758 0.85720.91690.95040.9754

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