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     Research Journal of Mathematics and Statistics


An Extended Generalized Power Lindley Distribution

1A. Amin Essam and 2M.M. Mansour
1Department of Mathematical Statistics, I.S.S.R., Cairo University
2Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Research Journal of Mathematics and Statistics  2017  1:1-10
http://dx.doi.org/10.19026/rjms.9.4161  |  © The Author(s) 2017
Received: December 14, 2016  |  Accepted: March 19,2017  |  Published: May 25, 2017

Abstract

In this study, a five-parameter distribution so-called the kumaraswamy Generalized power Lindley is defined and studied. The new distribution contains, as special sub models, several important distributions, such as the kumaraswamy generalized Lindley, kumaraswamy Lindley, generalized Lindley. We derive the moments moment generating function, conditional moment and mean residual lifetime are derived. We propose the method of maximum likelihood for estimating the model parameters. Finally, real data examples are discussed to illustrate the usefulness and applicability of the proposed distribution.

Keywords:

Generalized power lindley, kumaraswamy distribution, maximum likelihood estimation, momemts,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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