Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution

N. Balakrishnan; Víctor Leiva; Jorge López

doi:10.1080/03610910701207819

Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution

N. Balakrishnan, Víctor Leiva, Jorge López

Research output: Contribution to journal › Article › peer-review

228 Scopus citations

Abstract

In this article, we develop acceptance sampling plans when the life test is truncated at a pre-fixed time. The minimum sample size necessary to ensure the specified median life is obtained by assuming that the lifetimes of the test units follow a generalized Birnbaum-Saunders distribution. The operating characteristic values of the sampling plans as well as producer's risk are presented. Two examples are also given to illustrate the procedure developed here, with one of them being based on a real data from software reliability.

Original language	English
Pages (from-to)	643-656
Number of pages	14
Journal	Communications in Statistics: Simulation and Computation
Volume	36
Issue number	3
DOIs	https://doi.org/10.1080/03610910701207819
State	Published - May 2007
Externally published	Yes

Keywords

Acceptance sampling
Birnbaum-Saunders distribution
Consumer's risk
Kurtosis
Life test
Minimum sample size
Producer's risk

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10.1080/03610910701207819

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title = "Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution",

abstract = "In this article, we develop acceptance sampling plans when the life test is truncated at a pre-fixed time. The minimum sample size necessary to ensure the specified median life is obtained by assuming that the lifetimes of the test units follow a generalized Birnbaum-Saunders distribution. The operating characteristic values of the sampling plans as well as producer's risk are presented. Two examples are also given to illustrate the procedure developed here, with one of them being based on a real data from software reliability.",

keywords = "Acceptance sampling, Birnbaum-Saunders distribution, Consumer's risk, Kurtosis, Life test, Minimum sample size, Producer's risk",

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note = "Funding Information: This study was carried out with the support of research projects FONDECYT 1050862, FANDES C-13955/10, and DIPUV 42-2004, Chile. This article was written partially during the time that Dr. V{\'i}ctor Leiva was doing a Postdoctoral Fellow in the Department of Mathematics and Statistics, McMaster University, Canada. He is especially grateful with the McMaster University, Canada, for its support.",

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Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution

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