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...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2015 |
| Country: | Colombia |
| Institution: | Universidad Nacional de Colombia |
| Repository: | Repositorio UN |
| Language: | Spanish |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/66536 |
| Online Access: | https://repositorio.unal.edu.co/handle/unal/66536 http://bdigital.unal.edu.co/67564/ |
| Access Level: | Open access |
| Keyword: | 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Exponentiated Rayleigh Distribution Kurtosis Maximum Likelihood Rayleigh Distribution Slash Distribution Curtosis Distribución Rayleigh Distribución Rayleigh exponenciada Distribución Slash Máxima verosimilitud. |
| 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 q0. 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. |
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