Designing Bayesian Sampling Plans with Type-I Progressive Hybrid Censored Samples

在型I逐步混合設限樣本中設計貝氏抽樣計劃

梁大成(Ta-Chen Liang)

《中國統計學報》 52卷4期 (2014/12) Pp. 449-465

摘要

本文研討如何在型I逐步混合設限樣本中設計貝氏抽樣計劃。我們考慮兩種損失函數L_1和L_2，並對每一種損失函數，提出導引貝氏抽樣計劃的方法。本文比較上述導得的貝氏抽樣計劃與Lin et al.（2013，損失函數L_1）和Lin and Huang（2012，損失函數L_2）所建議的抽樣計劃。數值分析結果顯示：本文建議的貝氏抽樣計劃表現非常優於Lin et al.（2013）和Lin and Huang（2012）所建議的抽樣計劃。

關鍵字

型I逐步混合設限 ； 抽樣計劃 ； 貝氏抽樣計劃

並列摘要

This article studies the problem of designing Bayesian sampling plans for exponential distributions with type-I progressive hybrid censored samples. Two loss functions, say L_1 and L_2, are considered. Due to the difference between the two loss functions, for each loss function, a method is developed for deriving the Bayesian sampling plan. We compare the performance of the proposed sampling plans with the sampling plans of Lin et al.(2013) under L1 loss, and with the sampling plans of Lin and Huang (2012) under the L2 loss. The numerical results indicate that the proposed sampling plans outperform much than the sampling plans of Lin et al.(2013) and Lin and Huang(2012), respectively.

並列關鍵字

acceptance sampling ； progressive hybrid censoring ； sampling plan

參考文獻

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Liang, T.,Yang, M. C.(2013).Optimal Bayesian Sampling Plans for exponential distributions based on hybrid censored samples.J. Statist. Comput. and Simula.83,920-938.

Lin, C. T.,Huang, Y. L.(2012).On progressive hybrid censored exponential distribution.J. Statist. Comput. and Simula.82,689-709.