Departamento de Estadísticas y Ciencia de datos
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Examinando Departamento de Estadísticas y Ciencia de datos por Autor "Barranco Chamorro, Inmaculada"
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Ítem An Extension of the Fréchet Distribution and Applications(MDPI, 2024) Gómez, Yolanda M.; Barranco Chamorro, Inmaculada; Castillo, Jaime S.; Gómez, Héctor W.This paper presents the Slash-Exponential-Fréchet distribution, which is an expanded version of the Fréchet distribution. Through its stochastic representation, probability distribution function, moments and other relevant features are obtained. Evidence supports that the updated model displays a lighter right tail than the Fréchet model and is more flexible as for skewness and kurtosis. Results on maximum likelihood estimators are given. Our proposition’s applicability is demonstrated through a simulation study and the evaluation of two real-world datasets.Ítem Unit-Power Half-Normal Distribution Including QuantileRegression with Applications to Medical Data(MDPI, 2024) Santoro, Karol I.; Gómez, Yolanda M.; Soto, Darlin; Barranco Chamorro, InmaculadaIn this paper, we present the unit-power half-normal distribution, derived from the power half-normal distribution, for data analysis in the open unit interval. The statistical properties of the unit-power half-normal model are described in detail. Simulation studies are carried out to evaluate the performance of the parameter estimators. Additionally, we implement the quantile regression for this model, which is applied to two real healthcare data sets. Our findings suggest that the unitpower half-normal distribution provides a robust and flexible alternative for existing models for proportion data