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Weighted Exponential Distribution: Approximate Bayes Estimations with Fuzzy Data

Lamyaa K. Hussein --- Nadia Hashim Al-Noor

Al-Nahrain Journal of Science مجلة النهرين للعلوم
ISSN: (print)26635453,(online)26635461 Year: 2018 Volume: 00 Issue: 1 Pages: 174-185
Publisher: Al-Nahrain University جامعة النهرين

Abstract

This paper aims to focus on Bayes estimations for the shape and scale parameters along with the reliability function of weighted exponential distribution with fuzzy data. Bayes estimations have been obtained using symmetric and asymmetric loss functions. Lindley's approximation method has been used for the integrals that cannot be solved in closed form. At the end, some comparison for Bayes estimations are studied through a Monte Carlo simulation study.

Keywords

Weighted Exponential Distribution --- Bayes Estimation --- Lindley’s Approximation --- Squared Error Loss Function --- Linex Loss Function --- Fuzzy Data.