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- Title
ESTIMATION OF TWO PARAMETER POWERED INVERSE RAYLEIGH DISTRIBUTION.
- Authors
Anber, Nashaat Jasim Mohammed
- Abstract
In this article, we generalize the Inverse Rayleigh distribution using the power transformation. We provide a comprehensive description of the mathematical properties of the powered distribution. The maximum likelihood estimator of the parameters is derived. The Bayes estimation based on square error loss function is computed for general prior information by using Lindely and Tierney and Kadane's (T-K) approximation methods. A Comparisons among the suggested estimation methods have been made using the mean square error criteria and it is observed that The Lindely approximation method is more efficient than maximum likelihood method and T-K approximation method for all cases used. One real data analysis is performed for illustration.
- Subjects
RAYLEIGH model; PARAMETER estimation; MAXIMUM likelihood statistics; BAYES' estimation; ERROR functions
- Publication
Pakistan Journal of Statistics, 2020, Vol 36, Issue 2, p117
- ISSN
1012-9367
- Publication type
Article