Exact Computation of Minimum Sample size for Estimation of Poisson Parameters

Details Exact Computation of Minimum Sample size for Estimation of Poisson Parameters Exact Computation of Minimum Sample size for Estimation of Poisson Parameters

2007-07-14

arxiv.org/abs/0707.2116v3

Mathematics

Statistics Theory

10 pages, no figure, revised the last paragraph of page 3

Scientific paper

In this paper, we develop an approach for the exact determination of the minimum sample size for the estimation of a Poisson parameter with prescribed margin of error and confidence level. The exact computation is made possible by reducing infinite many evaluations of coverage probability to finite many evaluations. Such reduction is based on our discovery that the minimum of coverage probability with respect to a Poisson parameter bounded in an interval is attained at a discrete set of finite many values.

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