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Revista Colombiana de Estadística
Article . 2015 . Peer-reviewed
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Revista Colombiana de Estadística
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Article . 2015
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Slashed Rayleigh Distribution

Slashed Rayleigh distribution
Authors: IRIARTE, YURI A.; GÓMEZ, HÉCTOR W.; VARELA, HÉCTOR; BOLFARINE, HELENO;

Slashed Rayleigh Distribution

Abstract

Summary: In this article we study a subfamily of the slashed-Weibull family. This subfamily can be seen as an extension of the Rayleigh distribution with more flexibility in terms of the kurtosis of distribution. This special feature makes the extension suitable for fitting atypical observations. It arises as the ratio of two independent random variables, the one in the numerator being a Rayleigh distribution and a power of the uniform distribution in the denominator. We study some probability properties, discuss maximum likelihood estimation and present real data applications indicating that the slashed-Rayleigh distribution can improve the ordinary Rayleigh distribution in fitting real data.

Country
Colombia
Keywords

Slashed-Rayleigh Distribution, Slashed-elliptical Distributions, DistribuciónWeibull., distribución Slashed-Rayleigh, slashed-Weibull distribution, distribuciones Slashed-elípticas, 31 Colecciones de estadística general / Statistics, Weibull Distribution, Curtosis, curtosis, slashed-elliptical distributions, Rayleigh distribution, distribución Slashed-Weibull, Distribución Slashed-Weibull, Distribución Slashed-Rayleigh, RayleighDistribution, Kurtosis, Distribuciones Slashed-elípticas, Reliability and life testing, kurtosis, Statistics, Point estimation, Slashed-Weibull Distribution, Rayleigh Distribution, distribución Weibull, HA1-4737, 51 Matemáticas / Mathematics, Characterization and structure theory of statistical distributions, slashed-Rayleigh distribution, Distribución Rayleigh, Weibull distribution, distribución Rayleigh

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    influence
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    Top 10%
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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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!
19
Top 10%
Top 10%
Top 10%
Green
gold
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