Bayesian Estimation using Lindley’s Approximation and Prediction of Generalized Exponential Distribution Based on Lower Record Values

Authors

Sana Sana, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202002, IndiaFollow
Mohammad Faizan

Author Country (or Countries)

India

Abstract

The two parameter generalized exponential distribution (which is denoted by GE(α,λ)) was introduced by Gupta and Kundu (1999). In this article, maximum likelihood estimators (MLE’s) for the two unknown parameters of the generalized exponential (GE) distribution are obtained based on lower record values. Also, we obtained the Bayes Estimators of the unknown parameters of the generalized exponential distribution using Lindley’s approximation (L-approximation) under symmetric and asymmetric loss functions. Further, we have derived the Bayesian prediction for the future record values. Numerical computations are presented to illustrate the results of estimation and prediction using R software.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100107

Recommended Citation

Sana, Sana and Faizan, Mohammad (2021) "Bayesian Estimation using Lindley’s Approximation and Prediction of Generalized Exponential Distribution Based on Lower Record Values," Journal of Statistics Applications & Probability: Vol. 10: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/jsap/100107
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/7