Saridha D (saridhareddy_07@yahoo.com)
Research Scholar, Department of Statistics, Presidency College, Chennai-5.India
Radha R.K (radhasai66@gmail.com)
Associate Professor, Department of Statistics, Presidency College, Chennai-5.India
ABSTRACT
The present paper considers estimating the shape and scale parameters of the Topp-Leone Exponential distribution. Bayes estimators are obtained using exponential, gamma, log-normal, and Weibull distributions as the identical priors under asymmetric loss functions and integrated with the Lindley approximation method. These priors are compared using Bayes risk through simulation study with varying sample sizes and real data sets. Specifically, for the shape parameter of the Topp-Leone exponential distribution, the study identifies that Gamma prior under the Entropy loss function is most preferred.
Keywords: Prior, Lindley’s approximation, Asymmetric loss functions, Bayes Estimator, Bayes Risk
JEL Classification: C11
