The Beta Flexible Weibull Distribution
Abstract
We introduce in this paper a new generalization of the flexible Weibull distribution with four parameters. This model based on the Beta generalized (BG) distribution, Eugene et al. \cite{Eugeneetal2002}, they first using the BG distribution for generating new generalizations. This new model is called the beta flexible Weibull BFW distribution. Some statistical properties such as the mode, the th moment, skewness and kurtosis are derived. The moment generating function and the order statistics are obtained. Moreover, the estimations of the parameters are given by maximum likelihood method and the Fisher's information matrix is derived. Finally, we study the advantage of the BFW distribution by an application using real data set.
Keywords
Cite
@article{arxiv.1703.05757,
title = {The Beta Flexible Weibull Distribution},
author = {Beih S. El-Desouky and Abdelfattah Mustafa and Shamsan AL-Garash},
journal= {arXiv preprint arXiv:1703.05757},
year = {2017}
}
Comments
14 pages and 12 figures