Slashed Exponentiated Rayleigh Distribution

In this paper we introduce a new distribution for modeling positive data with high kurtosis. This distribution can be seen as an extension of the exponentiated Rayleigh distribution. This extension builds on the quotient of two independent random variables, one exponentiated Rayleigh in the numerato...

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Bibliographic Details
Published in:Revista Colombiana de Estadística 2015-07, Vol.38 (2), p.453-466
Main Authors: Salinas, Hugo S., Iriarte, Yuri A., Bolfarine, Heleno
Format: Article
Language:English
Subjects:
Exponentiated Rayleigh Distribution
Kurtosis
Maximum likelihood method
Maximum\linebreak Likelihood
Probability distribution
Random variables
Rayleigh Distribution
Rayleigh number
Slash Distribution
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Summary:In this paper we introduce a new distribution for modeling positive data with high kurtosis. This distribution can be seen as an extension of the exponentiated Rayleigh distribution. This extension builds on the quotient of two independent random variables, one exponentiated Rayleigh in the numerator and Beta(q,1) in the denominator with q>0. It is called the slashed exponentiated Rayleigh random variable. There is evidence that the distribution of this new variable can be more flexible in terms of modeling the kurtosis regarding the exponentiated Rayleigh distribution. The properties of this distribution are studied and the parameter estimates are calculated using the maximum likelihood method. An application with real data reveals good performance of this new distribution.
ISSN:0120-1751
2389-8976
DOI:10.15446/rce.v38n2.51673