The Marshall-Olkin Flexible Weibull Extension Distribution

TL;DR

This paper proposes the Marshall-Olkin Flexible Weibull Extension distribution, a new three-parameter model with a bathtub-shaped hazard rate, and demonstrates its statistical properties and applicability to real data.

Contribution

It introduces a novel three-parameter distribution extending the flexible Weibull, with detailed properties and estimation methods, and applies it to real datasets.

Findings

The distribution exhibits a bathtub-shaped hazard rate.

Maximum likelihood estimation is effective for parameter inference.

The model fits real data well, demonstrating practical usefulness.

Abstract

This paper introduces a new generalization of the flexible Weibull distribution with three parameters this model called the Marshall-Olkin flexible Weibull extension (MO-FWE) distribution which exhibits bathtub-shaped hazard rate. We studied it's statistical properties include, quantile function skewness and kurtosis, the mode, rth moments and moment generating function and order statistics. We used the method of maximum likelihood 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.