On Estimating the Parameters of the Beta Inverted Exponential Distribution under Type-II Censored Samples

Abstract

This article aims to consider estimating the unknown parameters, survival, and hazard functions of the beta inverted exponential distribution. Two methods of estimation were used based on type-II censored samples: maximum likelihood and Bayes estimators. The Bayes estimators were derived using an informative gamma prior distribution under three loss functions: squared error, linear exponential, and general entropy. Furthermore, a Monte Carlo simulation study was carried out to compare the performance of different methods. The potentiality of this distribution is illustrated using two real-life datasets from difference fields. Further, a comparison between this model and some other models was conducted via information criteria. Our model performs the best fit for the real data.

Keywords

• Bayes estimators
• beta inverted exponential distribution
• generalized hypergeometric function
• loss functions
• maximum likelihood estimators
• simulation study