2014
DOI: 10.5539/ijsp.v3n3p80
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Statistical Inference for a Simple Constant Stress Model Based on Censored Sampling Data From the Kumaraswamy Weibull Distribution

Abstract: In this paper, constant stress accelerated life tests are discussed based on Type I and Type II censored sampling data from Kumaraswmay Weibull distribution. The maximum likelihood estimators are derived for the unknown parameters. The log linear model is assumed as an accelerated model. In addition, confidence intervals for the model parameters are constructed. Optimum test plans, are developed to minimize the generalized asymptotic variance of the maximum likelihood estimators of the model parameters. Monte … Show more

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Cited by 9 publications
(11 citation statements)
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“…-135-3. Suppose that, for a particular pattern of stress, units run at stress j S starting at time The cumulative exposure model for j steps can be written as follows; (11), it is seen that () Gx , for a step-stress pattern which consists of segments of the CDF, 12 , ,..., k F F F , can be written in the form;…”
Section: Basic Assumptionsmentioning
confidence: 99%
“…-135-3. Suppose that, for a particular pattern of stress, units run at stress j S starting at time The cumulative exposure model for j steps can be written as follows; (11), it is seen that () Gx , for a step-stress pattern which consists of segments of the CDF, 12 , ,..., k F F F , can be written in the form;…”
Section: Basic Assumptionsmentioning
confidence: 99%
“…The lifetime at level of stress , , i=1, 2, ..., , j=1, 2, ..., k, is considered to have KumW distribution with the pdf in (2). It is assumed that the stress effects on the shape parameter of the KumW distribution only through the log linear model as in (5).…”
Section: Bayesian Estimation Based On Type II Censoringmentioning
confidence: 99%
“…In practical use, most products run at constant stress as a constant stress test mimics actual use, it is simple and has a lot of advantages over time-dependent stress loadings because most of real products are operated at a constant-stress condition, see Nelson [1]. For more details about ALT, see Bai and Chung [2], Balakrishnan and Han [3], AL-Dayian et al [4], also Basak and Balakrishnan [5] among others.…”
Section: Introductionmentioning
confidence: 99%