Acceptance sampling plans under progressive interval censoring with likelihood ratio |
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Authors: | Tzong-Ru Tsai Chin-Wei Lin |
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Affiliation: | (1) Division of Biostatistics, Washington University in St. Louis, 660 South Euclid Avenue, Box 8067, 63110 St. Louis, MO, USA;(2) School of Management, China University of Geosciences, No. 388 Lumo Road, 430074 Wuhan, Peoples Republic of China;(3) Division of Biostatistics, Washington University in St. Louis, School of Medicine, Box 8067, 63110 St. Louis, MO, USA |
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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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