Weibull Generalized Exponential Distribution

TL;DR

This paper proposes the Weibull-G exponential distribution, a new three-parameter model with a bathtub-shaped hazard rate, and demonstrates its statistical properties and applications to real data.

Contribution

Introduction of the Weibull-G exponential distribution with detailed properties and estimation methods, expanding modeling options for reliability analysis.

Findings

The distribution exhibits a bathtub-shaped hazard rate.

Maximum likelihood estimation is used for parameter inference.

The model effectively fits real data applications.

Abstract

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments, generating functions, reliability and order statistics. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived. We illustrate the usefulness of the proposed model by applications to real data.