The generalized exponential distribution as a lifetime model under different loss functions

被引：0

作者：

Department of Statistics, Faculty of Basic Science, University of Mazandaran, P.C. 47416-1467, Babolsar, Iran ^{[1
]}

机构：

[1] Department of Statistics, Faculty of Basic Science, University of Mazandaran, Babolsar

来源：

Data Sci. J. | 2009年 / 217-225期

关键词：

Bayes estimate; Generalized exponential distribution; Kolmogorov-Smirnov goodness of fit test; Loss function; Maximum likelihood estimate;

D O I：

10.2481/dsj.008-010

中图分类号：

学科分类号：

摘要：

Bayes estimates of the unknown parameter and the reliability function for the generalized exponential model are derived. Bayes estimates are obtained under various losses such as the squared error, the absolute error, the squared log error, and the entropy loss functions. Monte Carlo simulations are presented to compare the Bayes estimates and the maximum likelihood estimates of the unknown parameter and the reliability function.

引用

页码：217 / 225

页数：8

共 13 条

[1]

Bain L.J., Engelhardt M., Statistical Analysis of Reliability and Life Testing Models-Theory and Methods, (1991)

[2]

Basu A.P., Ebrahimi N., Bayesian approach to life testing and reliability estimation using assymmetric loss function, J. Statist. Plann. Inference, 29, pp. 21-31, (1991)

[3]

Brown L., Inadmissibility of the usual estimators of scale parameters in problems with unknown location and scale parameters, Ann. Math. Statist, 39, 1, pp. 29-48, (1968)

[4]

Feynman R.P., Mr. Feynman goes to Washington, Engineering and Science, pp. 6-22, (1987)

[5]

Gupta R.D., Kundu D., Generalized exponential distribution, Austr. NZ J. Statist, 41, 2, pp. 173-188, (1999)

[6]

Gupta R.D., Kundu D., Generalized exponential distribution: Bayesian estimations, Comput Stat & Data Analys, 4, pp. 1873-1883, (2008)

[7]

Jaheen Z.F., Emperical inference for generalized exponential distribution based on records, Commun. Statist. - Theory. Meth, 33, 8, pp. 1851-1861, (2004)

[8]

Moore D., Papadopoulos A.S., The Burr type XII distribution as a failure model under various loss functions, Microelectronics Reliability, 40, pp. 2117-2122, (2000)

[9]

Raqab M.Z., Inference for generalized exponential distribution based on record statistics, J. Statist. Plann. Inference, 104, pp. 339-350, (2002)

[10]

Raqab M.Z., Madi T., Bayesian inference for the generalized exponential distribution, J. Statist. Comput. Simul, 75, 10, pp. 841-852, (2005)

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