Inference based on progressively censored sample from Pareto population |
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Authors: | Lida Fallah Leila Golparvar |
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Institution: | School of Mathematics, Statistics and Computer Science, University of Tehran, Tehran, Iran |
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Abstract: | AbstractIn 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. |
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Keywords: | Bayes estimation Competing risks model Pareto distribution Posterior regret Gamma minimax Progressively Type-II right censored sample |
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