Comparative evaluation of different confidence intervals for the binomial proportion based on maximum coverage probabilities

Document Type : Original Scientific Paper

Author

Department of Mathematics and Statistics‎, ‎Faculty of Basic Sciences and Engineering‎, ‎Velayat University‎, ‎Iranshahr‎, ‎Iran

Abstract

Since the binomial distribution is discrete‎, ‎finding accurate confidence intervals for its parameters is not easily achievable‎. ‎Many approximate confidence intervals have been suggested for the binomial distribution's ratio parameter thus far‎. ‎As we know‎, ‎these confidence intervals have not been compared based on the maximum coverage probabilities‎. ‎This article aims to evaluate six widely used confidence intervals for the binomial distribution's ratio parameter‎, ‎focusing on their accurate maximum coverage probabilities criterion.

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