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A versatile distribution based on the incomplete gamma function: characterization and applications

dc.contributor.authorReyes, Jimmy
dc.contributor.authorMarchant, Carolina
dc.contributor.authorSantoro, Karol I.
dc.contributor.authorIriarte, Yuri A.
dc.date.accessioned2025-07-08T19:56:06Z
dc.date.available2025-07-08T19:56:06Z
dc.date.issued2025
dc.identifier.urihttp://repositorio.ucm.cl/handle/ucm/6249
dc.description.abstractIn this study, we introduce a novel distribution related to the gamma distribution, referred to as the generalized incomplete gamma distribution. This new family is defined through a stochastic representation involving a linear transformation of a random variable following a distribution derived from the upper incomplete gamma function. As a result, the proposed distribution exhibits a probability density function that effectively captures data exhibiting asymmetry and both mild and high levels of kurtosis, providing greater flexibility compared to the conventional gamma distribution. We analyze the probability density function and explore fundamental properties, including moments, skewness, and kurtosis coefficients. Parameter estimation is conducted via the maximum likelihood method, and a Monte Carlo simulation study is performed to assess the asymptotic properties of the maximum likelihood estimators. To illustrate the applicability of the proposed distribution, we present two case studies involving real-world datasets related to mineral concentration and the length of odontoblasts in guinea pigs, demonstrating that the proposed distribution provides a superior fit compared to the gamma, inverse Gaussian, and slash-type distributions.es_CL
dc.language.isoenes_CL
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/*
dc.sourceMathematics, 13(11), 1749es_CL
dc.subjectGamma distributiones_CL
dc.subjectIncomplete gamma functiones_CL
dc.subjectKurtosises_CL
dc.subjectMaximum likelihoodes_CL
dc.subjectMomentses_CL
dc.subjectSkewnesses_CL
dc.titleA versatile distribution based on the incomplete gamma function: characterization and applicationses_CL
dc.typeArticlees_CL
dc.ucm.facultadFacultad de Ciencias Básicases_CL
dc.ucm.indexacionScopuses_CL
dc.ucm.indexacionIsies_CL
dc.ucm.urimdpi.com/2227-7390/13/11/1749es_CL
dc.ucm.doidoi.org/10.3390/math13111749es_CL


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Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile