Abstract
We consider estimation and prediction for the two-parameter Chen distribution on the basis of progressive first failure censoring. The classical estimates of parameters are obtained. In particular, the least square estimation is considered. Further Bayes estimates are derived using the Tierney and Kadane method. We have also used the MH algorithm for this purpose. Further asymptotic, Bonferroni and Bayesian intervals are constructed. The one- and two-sample prediction problems are discussed as well. We examine the performance of studied methods by performing simulations. We analyze a real data set for illustrative purposes, and some concluding remarks are also presented.
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