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. Author manuscript; available in PMC: 2023 Jan 1.
Published in final edited form as: J Bus Econ Stat. 2021 Mar 3;40(2):852–867. doi: 10.1080/07350015.2021.1874390

Table 2.

Confidence intervals with level a = 95%. Empirical coverage probabilities are reported for the normal approximation confidence interval INA(a), the naive bootstrap intervals IBoot,1(a) and IBoot,2(a), and the random weighted bootstrap intervals IRWB,1(a) and IRWB,2(a). We take γ = 3 or 1/3, σ = 1, G ~ N(0,1), and θ = 0.9 in (1.2).

(n, p, γ) INA(0.95) IBoot,1(0.95) IBoot,2(0.95) IRWB,1(0.95) IRWB,2(0.95)
(500,0.01,3) 0.7931 0.8928 0.9523 0.8806 0.9508
(500,0.001,3) 0.6817 0.8718 0.9512 0.8393 0.9479
(1200,0.01,3) 0.8538 0.9184 0.9491 0.9130 0.9489
(1200,0.001,3) 0.7626 0.9075 0.9480 0.8932 0.9486
(2500,0.01,3) 0.8908 0.9359 0.9480 0.9306 0.9486
(2500,0.001,3) 0.8102 0.9316 0.9478 0.9173 0.9483
(500,0.01,1/3) 0.9008 0.9102 0.9490 0.9126 0.9483
(500,0.001,1/3) 0.7852 0.7631 0.9655 0.7162 0.9607
(1200,0.01,1/3) 0.9235 0.9301 0.9520 0.9274 0.9524
(1200,0.001,1/3) 0.8396 0.8253 0.9572 0.7986 0.9567
(2500,0.01,1/3) 0.9375 0.9408 0.9485 0.9399 0.9491
(2500,0.001,1/3) 0.8838 0.8843 0.9519 0.8608 0.9532