Interval estimation of a small proportion via inverse sampling

Ling-Yau Chan and Rahul Mukerjee

Journal of Applied Statistics, 2010, vol. 37, issue 3, 425-433

Abstract: On the basis of a negative binomial sampling scheme, we consider a uniformly most accurate upper confidence limit for a small but unknown proportion, such as the proportion of defectives in a manufacturing process. The optimal stopping rule, with reference to the twin criteria of the expected length of the confidence interval and the expected sample size, is investigated. The proposed confidence interval has also been compared with several others that have received attention in the recent literature.

Keywords: expected length; posterior quantile; negative binomial; sample size; score interval; uniformly most accurate; upper confidence limit (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1080/02664760802715880

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