Statistical inference based on record data from Pareto model

被引:33
|
作者
Raqab, Mohammad Z.
Ahmadi, J. [1 ]
Doostparast, M.
机构
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad, Iran
关键词
admissibility; Bayes estimation; Bayes prediction; conditional median prediction; linear-exponential loss; maximum likelihood prediction; squared error loss;
D O I
10.1080/02331880601106579
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
In this article, based on record values from the two-parameter Pareto distribution, maximum likelihood and Bayes estimators for the two unknown parameters are obtained. The Bayes estimates are obtained on the basis of the squared error loss and linear-exponential loss functions. The admissibility of some estimators is discussed. The problem of predicting the future record values, either point or interval prediction, from the Pareto distribution, based on the past record values observed, is considered from a Bayesian approach. Also, the maximum likelihood prediction of the future records and other classical methods are used for obtaining prediction intervals for the future records. Numerical computations are given for empirical comparison purposes.
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页码:105 / 118
页数:14
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