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Bayesian one-sample prediction of future observations under Pareto distribution
Authors:A M Nigm  Essam K Al-Hussaini
Institution:1. Department of Statistics , Cairo University , Egypt;2. Department of Mathematics , University of Assiut , Egypt
Abstract:Suppose that the length of time in years for which a business operates until failure has a Pareto distribution. Let t 1?t 2?t r denote the survival lifetimes of the first r of a random sample of n businesses. Bayesian predictions are to be made on the ordered failure times of the remaining (n???r) businesses, using the conditional probability function. Numerical examples are given to illustrate our results.
Keywords:Bayesian prediction bounds  One-sample problem  Type II censoring  Pareto type II distribution
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