Parametric inference for progressive Type-I hybrid censored data on a simple step-stress accelerated life test model

Li Ling, Wei Xu and Minghai Li

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 10, 3110-3121

Abstract: This paper considers a simple step-stress accelerated life test model under progressive Type-I hybrid censoring scheme. The progressive Type-I hybrid censoring scheme and statistical method in synthetic accelerated stresses are provided so as to decrease the lifetime and reduce the test cost. An exponentially distributed life of test units and a cumulative exposure model are assumed. The maximum likelihood estimates of the model parameters are obtained using a pivotal quantity. Two useful lemmas and a theorem are given to construct the approximate confidence intervals for the model parameters. Finally, simulation results are provided to assess the method of inference developed in this article. The simulation results show that the method does improve for large sample size.

Keywords: Simple step-stress accelerated life test; Cumulative exposure model; Maximum likelihood estimation; Confidence intervals; Progressive Type-I hybrid censoring (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:10:p:3110-3121

DOI: 10.1016/j.matcom.2009.03.002

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