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Acceptance sampling plans under progressive interval censoring with likelihood ratio

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Abstract

The paper investigates the design of life test plans under progressively interval censored test. Based on the likelihood ratio, the proposed life test plans are established so that the required producer and consumer risks can be satisfied simultaneously. The advantage of the proposed method is that the developed sampling procedure depends on the likelihood ratio only so that the method can be applied to any lifetime distribution when only one parameter is unknown. A numerical study is conducted and some of the sampling plans for the Weibull lifetime distribution with different shape parameters are tabulated for illustration. Moreover, the influence of the removal schemes on the proposed sampling plans is discussed.

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Authors and Affiliations

  1. Department of Statistics, Tamkang University, Tamsui, Taipei, 251, Taiwan, ROC

    Tzong-Ru Tsai & Chin-Wei Lin

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  1. Tzong-Ru Tsai
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  2. Chin-Wei Lin
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Correspondence to Tzong-Ru Tsai.

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Tsai, TR., Lin, CW. Acceptance sampling plans under progressive interval censoring with likelihood ratio. Stat Papers 51, 259–271 (2010). https://doi.org/10.1007/s00362-008-0141-4

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  • DOI: https://doi.org/10.1007/s00362-008-0141-4

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