Title : Bayesian estimation and prediction for some life distributions based on record values ( Bayesian estimation and prediction for some life distributions based on record values )
Authors: Jafar Ahmadi , Mahdi Doostparast ,
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Abstract
Some statistical data are most easily accessed in terms of record values. Examples include meteorology, hydrology and athletic events. Also, there are a number of industrial situations where experimental outcomes are a sequence of record-breaking observations. In this paper, Bayesian estimation for the two parameters of some life distributions, include Exponential, Weibull, Pareto and Burr type XII, are obtained based on upper record values. Prediction, either point or interval, for future upper record values are also presented from Bayesian view point. Some of the non-Bayesian results can be achieved as limiting cases from our results.
Keywords
Bayesian inference; Beta function; Conjugate prior; Gamma distribution; Jefferys prior; Pivotal quantity
@article{paperid:202573,
author = {Ahmadi, Jafar and Doostparast, Mahdi},
title = {Bayesian estimation and prediction for some life distributions based on record values},
journal = {Statistical Papers},
year = {2006},
volume = {47},
number = {3},
month = {March},
issn = {0932-5026},
pages = {373--392},
numpages = {19},
keywords = {Bayesian
inference; Beta function; Conjugate prior; Gamma distribution;
Jefferys prior; Pivotal quantity},
}
%0 Journal Article
%T Bayesian estimation and prediction for some life distributions based on record values
%A Ahmadi, Jafar
%A Doostparast, Mahdi
%J Statistical Papers
%@ 0932-5026
%D 2006
