Bayes and empirical bayes two-stage procedures for sampling inspection

研究成果: 雜誌貢獻期刊論文同行評審

摘要

A batch of M items is inspected for defectives. Suppose there are d defective items in the batch. Let d0 be a given standard used to evaluate the quality of the population where 0 < d0 < M. The problem of testing H0: d < d0 versus H1d ≥ d0 is considered. It is assumed that past observations are available when the current testing problem is considered. Accordingly, the empirical Bayes approach is employed. By using information obtained from the past data, an empirical Bayes two-stage testing procedure is developed. The associated asymptotic optimality is investigated. It is proved that the rate of convergence of the empirical Bayes two-stage testing procedure is of order O (exp(-c* n)), for some constant c* > 0, where n is the number of past observations at hand.

原文???core.languages.en_GB???
頁(從 - 到)871-887
頁數17
期刊Communications in Statistics - Theory and Methods
38
發行號6
DOIs
出版狀態已出版 - 1 4月 2009

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