Abstract—In this paper we consider interval estimation for the Poisson means. The following confidence intervals are considered: Wald CI, Score CI, Score continuity correction CI, Agresti and Coull CI, Bayes Wald CI, Bayes Score CI, and Bayes Score continuity correction CI. Each interval is examined for its coverage probability and its expected lengths. Based on this simulation; we recommend Score CI and the Wald CI for the small n and the larger n respectively.
Index Terms—Bayes estimators, poisson distribution, interval estimation.
M. Tanusit is with the Major of Statistics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand (e-mail: manlika@mju.ac.th).
Cite: Manlika Tanusit, "Two-Side Confidence Intervals for the Poisson Means," International Journal of Modeling and Optimization vol. 2, no. 5, pp. 589-591, 2012.
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