Bayesian and Non Bayesian Method of Estimation of Scale Parameter of Gamma Distribution under Symmetric and Asymmetric Loss Functions

• Authors: Isha Gupta , Rahul Gupta
• Languages of publication: EN

Abstracts

EN

In this investigation, we consider Bayesian and Non-Bayesian estimation problems of unknown scale parameter of Gamma distribution assuming the shape parameter as known and derive Bayes and Classical (Non-Bayes) estimators of the scale parameter. Bayes estimators are obtained under symmetric (squared error) and asymmetric (linex and precautionary) loss functions using a non-informative prior. The risk efficiency of Bayes estimators is also obtained under these loss functions. Finally, the simulation study is done to compare the performance of these estimators using MATLAB software.

Keywords

EN

Bayes Estimator; Linex Loss Function; Precautionary Loss Function; Risk Function; Squared Error Loss Function

Discipline

• INFORMATICS: INFORMATICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2018
• Volume: 101
• Pages: 172-191

Contributors

author

Isha Gupta

• Department of Statistics, University of Jammu, Jammu, India

author

Rahul Gupta

• Department of Statistics, University of Jammu, Jammu, India

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• Document Type: article