A Note on Kumaraswamy Exponentiated Rayleigh distribution

DOI

10.2991/jsta.2016.15.3.8How to use a DOI?

Keywords

Kumaraswamy exponentiated Rayleigh distribution; quantile function; moments generating function; order statistics; maximum likelihood estimation.

Abstract

In this paper, a new four parameter continuous distribution, called the Kumaraswamy Rayleigh (KW-ER) distribution is proposed and studied. Some mathematical properties are presented and discussed, these properties involve expansions for the cumulative and density functions, skewness and kurtosis based on the quantile function and explicit expressions for the moments and generating function. The density function of the order statistics and obtain their moments are provided. An explicit expression for Renyi entropy is obtained. The method of maximum likelihood is used for estimating the distribution parameters and the observed information matrix is derived. A data set is used to illustrate the application of the new distribution.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Nasr Ibrahim Rashwan
PY  - 2016
DA  - 2016/09/01
TI  - A Note on Kumaraswamy Exponentiated Rayleigh distribution
JO  - Journal of Statistical Theory and Applications
SP  - 286
EP  - 295
VL  - 15
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.3.8
DO  - 10.2991/jsta.2016.15.3.8
ID  - Rashwan2016
ER  -