Bayesian Estimation and Prediction for Chen Distribution Based on Upper Record Values

M. Faizan and Sana

Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh – 202 002. India

Abstract: Chen (2000) was proposed a two-parameter Chen distribution. This distribution has a bathtub-shape curve or increasing failure rate function which enables it to fit real lifetime data sets. This paper provides maximum likelihood estimates and Bayes estimators of the two unknown parameters of Chen distribution based on upper record value. Finally we have obtained prediction intervals for future observations. Numerical computations are given to illustrate the results using R software.

Keywords: Bayesian inference; Independent gamma prior; Bayesian estimation; Maximum likelihood estimation; Bayesian prediction; Record values; Record times.

Pages: 235 – 243 | Full PDF Paper