Open AccessBayes Pre-Test Shrinkage Estimators of Scale Parameter for Maxwell Distribution under Squared Loss Functions
Author(s) -
Waleed Rodeen,
Sakina Aziz
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012069
Subject(s) - estimator , mean squared error , shrinkage estimator , mathematics , bayes estimator , prior probability , scale parameter , statistics , shrinkage , bayesian probability , minimax estimator , minimum variance unbiased estimator
The Maxwell distribution is a lifetime model, and it is used in many applications of physics and chemistry. In this paper, we suggest and study the pre-test Shrinkage Bayesian estimators of scale parameter for Maxwell distribution The equation of risk function and relative risk with respect classical estimator for the proposed estimators under squared error loss function (SELF). Using simulations, these estimators are compared in terms of the relative risk, which is accounted using the programming language R and the numerical results that showed performance of our estimators are compared with Bayesian classical estimator.