
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.
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
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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