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Bayesian one-sample prediction of future observations under Pareto distribution
Authors:
A. M. Nigm a;
Essam K. Al-Hussaini b;
Zeinhum F. Jaheen b
| Affiliations: | a Department of Statistics, Cairo University, Egypt |
| b Department of Mathematics, University of Assiut, Egypt |
DOI:
10.1080/02331880310001598837
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Number of References: 24
Formats available:
PDF
(English)
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Abstract
Suppose that the length of time in years for which a business operates until failure has a Pareto distribution. Let t1 < t2 < ··· < tr 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.
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| Keywords: Bayesian prediction bounds; One-sample problem; Type II censoring; Pareto type II distribution |
| view references (24) : view citations |
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