Approximate Confidence Limits for a Proportion of the Pólya Distribution

Abstract

The problem of constructing approximate confidence limits for a proportion parameter of the Pólya distribution is discussed. Three different methods for determining approximate one-sided and two-sided confidence limits for that parameter of the Pólya distribution have been proposed and compared. Particular cases of those confidence bounds are confidence intervals for the parameter of the binomial and the hypergeometric distributions.

Keywords:

• Discrete Pólya distribution
• Lower and upper confidence limits
• Unbiased estimators

Mathematics Subject Classification:

• Primary 62F25
• Secondary 62F10

Acknowledgment

The authors are grateful to the referee for many very useful comments and suggestions that greats helped improve this article.