Bayesian estimation and prediction for some life distributions based on record values

被引:62
|
作者
Ahmadi, J [1 ]
Doostparast, M [1 ]
机构
[1] Ferdowski Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad, Iran
关键词
Bayesian inference; beta function; conjugate prior; gamma distribution; Jefferys prior; pivotal quantity;
D O I
10.1007/s00362-006-0294-y
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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, including Exponential, Weibull, Pareto and Burr type XII, are obtained based on upper record values. Prediction, either point or interval, for future upper record values is also presented from a Bayesian view point. Some of the non-Bayesian results can be achieved as limiting cases from our results. Numerical computations are given to illustrate the results.
引用
收藏
页码:373 / 392
页数:20
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