BAYES ESTIMATORS OF SHAPE PARAMETER OF PARETO DISTRIBUTION UNDER TWO DIFFERENT LOSS FUNCTIONS

  • Gaurav Shukla Department of Statistics, Banda University of Agriculture and Technology, Banda, India
  • Vinod Kumar Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India
Keywords: Maximum Likelihood Estimator, Prior, Bayes Estimator, Shape Parameter, Squared Error Loss Function And Asymmetric Precautionary Loss Function

Abstract

In this paper, Bayes estimators of the shape parameter θ of Pareto distribution have been attained for different priors. The paper also discusses the comparison of Bayes estimators of θ and other estimators like, uniformly minimum variance unbiased estimator (UMVUE) and Maximum likelihood estimator (MLE) of θ under Two loss functions namely, Asymmetric Precautionary Loss Function (APLF) and Squared Error Loss Function (SELF). The results have been illustrated using a simulation study with varying sample sizes through R software.

 

Downloads

Download data is not yet available.
Published
2018-12-05
Section
Articles