The Marshall-Olkin Flexible Weibull Extension Distribution
Statistics Theory
2016-09-29 v1 Statistics Theory
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.
Keywords
Cite
@article{arxiv.1609.08997,
title = {The Marshall-Olkin Flexible Weibull Extension Distribution},
author = {Abdelfattah Mustafa and B. S. El-Desouky and Shamsan AL-Garash},
journal= {arXiv preprint arXiv:1609.08997},
year = {2016}
}
Comments
18 pages, 17 figures. arXiv admin note: substantial text overlap with arXiv:1605.08152, arXiv:1606.07378