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Bayes and Empirical Bayes Procedures for Selecting Good Populations From a Translated Exponential Family

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Empirical Bayes and Likelihood Inference

Part of the book series: Lecture Notes in Statistics ((LNS,volume 148))

Abstract

This paper presents Bayes and Empirical Bayes procedures based on two-tail test criteria with product distance loss function for selecting good populations coming from a translated exponential family. This family has widely been used in reliability theory, quality control and engineering sciences. In the event the structural form of the prior distribution is unknwon, non-parametric empirical Bayes selection procedures are developed. These procedures are shown to be asymptotically optimal. Speed of convergence for asymptotic optimality are investigated.

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Singh, R.S. (2001). Bayes and Empirical Bayes Procedures for Selecting Good Populations From a Translated Exponential Family. In: Ahmed, S.E., Reid, N. (eds) Empirical Bayes and Likelihood Inference. Lecture Notes in Statistics, vol 148. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0141-7_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0141-7_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95018-1

  • Online ISBN: 978-1-4613-0141-7

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