Inference based on progressively censored sample from Pareto population

Lida Fallah, Leila Golparvar and Ahmad Parsian

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 1, 9-24

Abstract: In this paper, we assume that the lifetimes have a two-parameter Pareto distribution and discuss some results of progressive Type-II censored sample. We obtain maximum likelihood estimators and Bayes estimators of the unknown parameters under squared error loss and a precautionary loss functions in progressively Type-II censored sample. Robust Bayes estimation of unknown parameters over three different classes of priors under progressively Type-II censored sample, squared error loss, and precautionary loss functions are obtained. We discuss estimation of unknown parameters on competing risks progressive Type-II censoring. Finally, we consider the problem of estimating the common scale parameter of two Pareto distributions when samples are progressively Type-II censored.

Date: 2016
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DOI: 10.1080/03610926.2013.815778

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