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Approximate Confidence Limits for a Proportion of the Pólya Distribution |
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| Authors: | Ya Lumelskii E Voinov M Nikulin |
| Institution: | 1. Faculty of Industrial Engineering and Management , Technion – Israel Institute of Technology , Haifa , Israel;2. Kazakhstan Institute of Management , Economics and Strategic Research, and Institute for Mathematics of the Ministry of Education and Research of the Republic of Kazakhstan , Almaty , Kazakhstan;3. IMB, Mathematical Statistics and Reliability , University Victor Segalen , Bordeaux , France |
| 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 |