Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Bayesian Estimations on the Exponentiated Distribution Family with Type-II Right Censoring

  • Received : 20110300
  • Accepted : 20110400
  • Published : 2011.09.30
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Abstract

Exponentiated distribution has been used in reliability and survival analysis especially when the data is censored. In this paper, we derive Bayesian estimation of the shape parameter, reliability function and failure rate function in the exponentiated distribution family based on Type-II right censored data. We here consider conjugate prior and noninformative prior and corresponding posterior distributions are obtained. As an illustration, the mean square errors of the estimates are computed. Comparisons are made between these estimators using Monte Carlo simulation study.

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  1. Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring vol.24, pp.6, 2013, https://doi.org/10.7465/jkdi.2013.24.6.1455
  2. An Analysis of Record Statistics based on an Exponentiated Gumbel Model vol.20, pp.5, 2013, https://doi.org/10.5351/CSAM.2013.20.5.405