Bayes Estimation under Conjugate Prior for the Case of Laplace Double Exponential Distribution
DOI:
https://doi.org/10.3329/cujs.v40i1.47921Keywords:
Squared Error Loss Function; Modified Linear Exponential Loss Function; Non-Linear Exponential Loss Function; Maximum Likelihood Estimator; Bayes Estimator Under Quadratic Loss FunctionAbstract
The Bayesian estimation approach is a non-classical device in the estimation part of statistical inference which is very useful in real world situation. The main objective of this paper is to study the Bayes estimators of the parameter of Laplace double exponential distribution. In Bayesian estimation loss function, prior distribution and posterior distribution are the most important ingredients. In real life we try to minimize the loss and want to know some prior information about the problem to solve it accurately. The well known conjugate priors are considered for finding the Bayes estimator. In our study we have used different symmetric and asymmetric loss functions such as squared error loss function, quadratic loss function, modified linear exponential (MLINEX) loss function and non-linear exponential (NLINEX) loss function. The performance of the obtained estimators for different types of loss functions are then compared among themselves as well as with the classical maximum likelihood estimator (MLE). Mean Square Error (MSE) of the estimators are also computed and presented in graphs.
The Chittagong Univ. J. Sci. 40 : 151-168, 2018
Downloads
39
41
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in The Chittagong University Journal of Science agree to the following terms that:
- Authors retain copyright and grant The Chittagong University Journal of Science the right of first publication of the work.
Articles in The Chittagong University Journal of Science are Open Access articles published under the Creative Commons CC BY-NC License Attribution-NonCommercial 4.0 International (CC BY-NC 4.0). This license permits Share — copy and redistribute the material in any medium or format and Adapt — remix, transform, and build upon the material.