Using entropy and linear exponential loos function estimators the parameter and reliability function of inverse rayleigh distribution

This paper is devoted to compare the performance of non-Bayesian estimators representedby the Maximum likelihood estimator of the scale parameter and reliability function of inverseRayleigh distribution with Bayesian estimators obtained under two types of loss functionspecifically; the linear, expon...

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Bibliographic Details
Published in:	Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 34; no. 1; pp. 125 - 134
Main Authors:	Abud, Masum Ali, Gurgis, Hazim Mansur
Format:	Journal Article
Language:	English
Published:	بغداد، العراق جامعة بغداد، كلية التربية ابن الهيثم 2021 University of Baghdad
Subjects:	Inverse Rayleigh distribution, Entropy loss function, LINEX loss function, Prior information الدالات التحليلية نموذج رايلي
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Summary:	This paper is devoted to compare the performance of non-Bayesian estimators representedby the Maximum likelihood estimator of the scale parameter and reliability function of inverseRayleigh distribution with Bayesian estimators obtained under two types of loss functionspecifically; the linear, exponential (LINEX) loss function and Entropy loss function, takinginto consideration the informative and non-informative priors. The performance of suchestimators assessed on the basis of mean square error (MSE) criterion. The Monte Carlosimulation experiments are conducted in order to obtain the required This paper is devoted to compare the performance of non-Bayesian estimators representedby the Maximum likelihood estimator of the scale parameter and reliability function of inverseRayleigh distribution with Bayesian estimators obtained under two types of loss functionspecifically; the linear, exponential (LINEX) loss function and Entropy loss function, takinginto consideration the informative and non-informative priors. The performance of suchestimators assessed on the basis of mean square error (MSE) criterion. The Monte Carlosimulation experiments are conducted in order to obtain the required results.
ISSN:	1609-4042 2521-3407
DOI:	10.30526/34.1.2563