2010
DOI: 10.1080/00949650902834478
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Accelerated life test sampling plans for the Weibull distribution under Type I progressive interval censoring with random removals

Abstract: This paper considers the design of accelerated life test (ALT) sampling plans under Type I progressive interval censoring with random removals. We assume that the lifetime of products follows a Weibull distribution. Two levels of constant stress higher than the use condition are used. The sample size and the acceptability constant that satisfy given levels of producer's risk and consumer's risk are found. In particular, the optimal stress level and the allocation proportion are obtained by minimizing the gener… Show more

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Cited by 24 publications
(9 citation statements)
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“…The a progressively Type-I censored grouped sample under constant stress test is considered to obtain the unknown parameters (1 ,2 ,,̂) by solving the system of nonlinear equations get from Eqs. (6)(7)(8)(9). Then the values which getten of estimators are used to get the absolute relative bias (ARBias), and mean square error (MSE).…”
Section: Numerical Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The a progressively Type-I censored grouped sample under constant stress test is considered to obtain the unknown parameters (1 ,2 ,,̂) by solving the system of nonlinear equations get from Eqs. (6)(7)(8)(9). Then the values which getten of estimators are used to get the absolute relative bias (ARBias), and mean square error (MSE).…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Tang and Xu (2005) considered a framework with two conflicting objectives in the planning of ALT, meeting a desired level of statistical precision for an estimate of interest, and meeting a cost target for conducting the test. Ding et al (2010) considered the design of ALT sampling plans under type-I progressive interval censoring with random removals and assumed the lifetime of products follows a Weibull distribution. Attia, et al (2011a,b) obtained MLE and discussed optimum test plans of the Generalized Logistic (GL) parameters under both type-I and type-II censoring data.…”
Section: Introductionmentioning
confidence: 99%
“…Such type of censoring is commonly referred as the progressive type-I interval censoring with random removals. Yang and Tse (2005) and Ding et al (2010) have studied in detail various properties of this particular censoring scheme. For further consideration we assume that the probability of removing units at each inspection time t i follow binomial (Bin) distribution with parameter ρ.…”
Section: Progressive Type-i Interval Censoringmentioning
confidence: 99%
“…Bayesian inference under this censoring has also been discussed by various researchers, see for instance, Lin and Lio (2012) for Weibull and generalized exponential distributions, Peng and Yan (2013) for generalized exponential distribution and Pradhan and Gijo (2013) for lognormal distribution. One may also refer to Yang and Tse (2005), Lin et al (2009) and Ding et al (2010) for some other interesting applications under this particular censoring.…”
Section: Introductionmentioning
confidence: 97%
“…Fan and Yu [5] discuss the reliability analysis of the constant stress accelerated life tests when a parameter in the generalized gamma lifetime distribution is linear in the stress level. Ding et al [6] dealt with Weibull distribution to obtain accelerated life test sampling plans under type I progressive interval censoring with random removals. Ahmad et al [7], Islam and Ahmad [8], Ahmad and Islam [9], Ahmad, et al [10] and Ahmad [11] discuss the optimal constant stress accelerated life test designs under periodic inspection and Type-I censoring.…”
Section: Introductionmentioning
confidence: 99%