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Journal of Statistical Theory and Applications (JSTA)
Article . 2016 . Peer-reviewed
Data sources: Crossref
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DBLP
Article . 2016
Data sources: DBLP
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A Note on Kumaraswamy Exponentiated Rayleigh distribution

Authors: Nasr Ibrahim Rashwan;

A Note on Kumaraswamy Exponentiated Rayleigh distribution

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.

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Keywords

Kumaraswamy exponentiated Rayleigh distribution; quantile function; moments generating function; order statistics; maximum likelihood estimation., Probabilities. Mathematical statistics, QA273-280

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Average
gold