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基于Tsallis指数分布截尾寿命试验的最优双验收抽样方案。

Optimal double acceptance sampling plans based on truncated life tests for Tsallis -exponential distributions.

作者信息

Qomi M Naghizadeh, Fernández Arturo J

机构信息

Department of Statistics, University of Mazandaran, Babolsar, Iran.

Departamento de Matemáticas, Estadística e Investigación Operativa and Instituto de Matemáticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), Tenerife, Canary Islands, Spain.

出版信息

J Appl Stat. 2024 May 16;51(16):3456-3467. doi: 10.1080/02664763.2024.2353365. eCollection 2024.

Abstract

Optimal double sampling plans for lot acceptance based on truncated life tests are derived by minimizing the expected sample size when the lifetime variable follows a Tsallis -exponential distribution. The proposed test plans significantly reduce the inspection effort with respect to the best single sampling schemes. Some tables and figures are presented to analyze the behavior of the suggested test plans. The results show that the proposed lot inspection scheme clearly outperforms the standard single sampling plan. A justification is provided using a comparative study for existing double sampling plans. Finally, several applications are provided for illustrative purposes.

摘要

当寿命变量服从Tsallis指数分布时,通过最小化期望样本量,得出了基于截尾寿命试验的批次验收最优双抽样方案。相对于最佳单抽样方案,所提出的检验方案显著减少了检验工作量。给出了一些表格和图形来分析所建议检验方案的性能。结果表明,所提出的批次检验方案明显优于标准单抽样方案。通过对现有双抽样方案的比较研究给出了合理性证明。最后,为了说明目的提供了几个应用实例。

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