A note on bootstrap confidence intervals for proportions

Weizhen Wang

Statistics & Probability Letters, 2013, vol. 83, issue 12, 2699-2702

Abstract: We first show that any 1−α bootstrap percentile confidence interval for a proportion based on a binomial random variable has an infimum coverage probability zero for any sample size. This result is then extended to intervals for the difference, the relative risk and the odds ratio of two proportions as well as other types of bootstrap intervals.

Keywords: Binomial distribution; Coverage probability; Multinomial distribution; Relative risk; Odds ratio (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.09.005

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