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Estimation and prediction for a Burr type-III distribution with progressive censoring

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  • Devendra Pratap Singh
  • Yogesh Mani Tripathi
  • Manoj Kumar Rastogi
  • Nikhil Dabral

Abstract

We consider estimation of unknown parameters and reliability characteristics of a Burr type-III distribution under progressive censoring. Predictive estimates for censored observations and the associated prediction intervals are also obtained. We derive maximum-likelihood estimators of unknown quantities using the EM algorithm and then also obtain the observed Fisher information matrix. We provide various Bayes estimators for unknown parameters under the squared error loss function. Highest posterior density and asymptotic intervals are also constructed. We evaluate performance of proposed methods using simulations. Finally, an illustrative example is presented in support of the methods discussed.

Suggested Citation

  • Devendra Pratap Singh & Yogesh Mani Tripathi & Manoj Kumar Rastogi & Nikhil Dabral, 2017. "Estimation and prediction for a Burr type-III distribution with progressive censoring," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9591-9613, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:19:p:9591-9613
    DOI: 10.1080/03610926.2016.1213290
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    Cited by:

    1. Kousik Maiti & Suchandan Kayal, 2019. "Estimation for the generalized Fréchet distribution under progressive censoring scheme," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1276-1301, October.

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