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Year 2015, Volume: 44 Issue: 5, 1235 - 1245, 01.10.2015

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Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring

Year 2015, Volume: 44 Issue: 5, 1235 - 1245, 01.10.2015

Abstract

This paper discusses likelihood and Bayesian estimations for partially accelerated step-stress life test model under Type-I censoring assuming Pareto distribution of the second kind. The posterior means and posterior variances are obtained under the squared error loss function using Lindley’s approximation procedure. It has been observed that Lindley’s method usually provides posterior variances and mean square errors smaller than those of the maximum likelihood estimators. Furthermore, the highest posterior density credible intervals of the model parameters based on Gibbs sampling technique are computed. For illustration, simulation studies and an illustrative example based on a real data set are provided.

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Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

Ali. A. Ismail This is me

Publication Date October 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 5

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APA Ismail, A. A. (2015). Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring. Hacettepe Journal of Mathematics and Statistics, 44(5), 1235-1245.
AMA Ismail AA. Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring. Hacettepe Journal of Mathematics and Statistics. October 2015;44(5):1235-1245.
Chicago Ismail, Ali. A. “Likelihood and Bayesian Estimations for Step-Stress Life Test Model under Type-I Censoring”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1235-45.
EndNote Ismail AA (October 1, 2015) Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring. Hacettepe Journal of Mathematics and Statistics 44 5 1235–1245.
IEEE A. A. Ismail, “Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1235–1245, 2015.
ISNAD Ismail, Ali. A. “Likelihood and Bayesian Estimations for Step-Stress Life Test Model under Type-I Censoring”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 2015), 1235-1245.
JAMA Ismail AA. Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring. Hacettepe Journal of Mathematics and Statistics. 2015;44:1235–1245.
MLA Ismail, Ali. A. “Likelihood and Bayesian Estimations for Step-Stress Life Test Model under Type-I Censoring”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, 2015, pp. 1235-4.
Vancouver Ismail AA. Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1235-4.