Abstract

The aim of this study is to study the Bayes estimation of parameter of exponential distribution under a bounded loss function, named reflected gamma loss function, which proposed by Towhidi and Behboodian (1999). The inverse Gamma prior distribution is used as the prior distribution of the parameter of exponential distribution. Bayesian estimators are obtained under squared error loss and the reflected gamma loss functions. Minimum risk equivariant estimator of the parameter is also derived. Finally, a numerical simulation is used to compare the estimators obtained.

Keywords:

Bayes estimator, bounded loss function, minimum risk equivariant estimator, squared error loss,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.