Statistical inference for the generalized weighted exponential distribution

Abstract

Generalized weighted exponential (GWE) distributions are a natural generalization of weighted exponential distributions. This paper attempts to revisit the GWE distribution in order to address the main inferential aspects of this distribution, such as the maximum likelihood estimators of the unknown parameters and their corresponding asymptotic confidence intervals, that vanished in previous works. Also, it develops some new distributional results about the GWE distribution and provides more interesting closed form expressions for previously presented results. A simulation study and a real world application are also worked out to assess the maximum likelihood estimators and to illustrate the theory.

Keywords:

• Fisher information
• Generalized weighted exponential distribution
• Lifetime data
• Maximum likelihood estimation

MATHEMATICS SUBJECT CLASSIFICATION:

• 62J05
• 14M99