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Bayesian estimation for the exponentiated Weibull model under Type II progressive censoring

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Abstract

Based on progressive Type II censored samples, we have derived the maximum likelihood and Bayes estimators for the two shape parameters and the reliability function of the exponentiated Weibull lifetime model. We obtained Bayes estimators using both the symmetric and asymmetric loss functions via squared error loss and linex loss functions. This was done with respect to the conjugate priors for two shape parameters. We used an approximation based on the Lindley (Trabajos de Stadistca 21, 223–237, 1980) method for obtaining Bayes estimates under these loss functions. We made comparisons between these estimators and the maximum likelihood estimators using a Monte Carlo simulation study.

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Authors and Affiliations

  1. Department of Applied Mathematics, Kongju National University, Kongju, Korea

    Chansoo Kim

  2. Department of Statistics, Pusan National University, Pusan, Korea

    Jinhyouk Jung & Younshik Chung

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  1. Chansoo Kim
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  2. Jinhyouk Jung
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  3. Younshik Chung
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Correspondence to Younshik Chung.

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Kim, C., Jung, J. & Chung, Y. Bayesian estimation for the exponentiated Weibull model under Type II progressive censoring. Stat Papers 52, 53–70 (2011). https://doi.org/10.1007/s00362-009-0203-2

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  • DOI: https://doi.org/10.1007/s00362-009-0203-2

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