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Empirical bayes estimates of rayleigh distribution with ewmel and logarithmic loss functions for censored samples
Joint Authors
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 7, Issue 2 (30 Jun. 2014), pp.147-170, 24 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2014-06-30
Country of Publication
Jordan
No. of Pages
24
Main Subjects
Abstract EN
In this paper, empirical Bayes estimates of reliability performances are derived when the data are progressively type II censored from a Rayleigh distribution.
These estimates are derived under exponentially weighted minimum expected loss (EWMEL) and logarithmic loss functions, and compared with the corresponding maximum likelihood estimates in terms of absolute bias and estimated risk.
A real data set is presented to illustrate the proposed estimation method, and a Monte Carlo simulation study is carried out to investigate the accuracy of derived estimates.
The study shows that the empirical Bayesian estimation outperforms the maximum likelihood estimation.
American Psychological Association (APA)
Barot, D. R.& Patel, M. N.. 2014. Empirical bayes estimates of rayleigh distribution with ewmel and logarithmic loss functions for censored samples. Jordan Journal of Mathematics and Statistics،Vol. 7, no. 2, pp.147-170.
https://search.emarefa.net/detail/BIM-393872
Modern Language Association (MLA)
Barot, D. R.& Patel, M. N.. Empirical bayes estimates of rayleigh distribution with ewmel and logarithmic loss functions for censored samples. Jordan Journal of Mathematics and Statistics Vol. 7, no. 2 (Jun. 2014), pp.147-170.
https://search.emarefa.net/detail/BIM-393872
American Medical Association (AMA)
Barot, D. R.& Patel, M. N.. Empirical bayes estimates of rayleigh distribution with ewmel and logarithmic loss functions for censored samples. Jordan Journal of Mathematics and Statistics. 2014. Vol. 7, no. 2, pp.147-170.
https://search.emarefa.net/detail/BIM-393872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 168-170
Record ID
BIM-393872