The beta generalized linear exponential distribution

ABSTRACT

In this paper, a new five-parameter lifetime distribution called beta generalized linear exponential distribution (BGLED) is introduced. It includes at least 17 popular sub-models as special cases such as the beta linear exponential, the beta generalized exponential, and the exponentiated generalized linear distributions. Mathematical and statistical properties of the proposed distribution are discussed in details. In particular, explicit expression for the density function, moments, asymptotics distributions for sample extreme statistics, and other statistical measures are obtained. The estimation of the parameters by the method of maximum-likelihood is discussed and the finite sample properties of the maximum-likelihood estimators (MLEs) are investigated numerically. A real data set is used to demonstrate its superior performance fit over several existing popular lifetime models.

KEYWORDS:

• Asymptotics
• beta distribution
• beta linear exponential distribution
• generalized linear exponential
• hazard function
• maximum-likelihood
• mean life residual

Acknowledgments

The authors thank the editor, anonymous associate editor, and the referees for valuable comments and suggestions that lead to significant improvement of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.