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The Flexible Generalized Gamma Distribution With Applications to COVID-19 Data
La distribución gamma generalizada flexible con aplicaciones a los datos COVID-19
DOI:
https://doi.org/10.15446/rce.v47n2.112328Keywords:
Acceptance-rejection, COVID-19, Flexible Weibull distribution, Regression model (en)Aceptación-rechazo, COVID-19, Distribución Weibull flexible, Modelo de regresión (es)
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The article presents the flexible generalized gamma distribution, whose density function can be expressed as an infinite linear combination of generalized gamma densities. Some of its statistical properties are reported, and maximum likelihood estimation is also discussed. A regression model with two systematic components is constructed for censored data. Three applications to real COVID-19 data reveal that the new model provides adequate fit and outperforms some competing models.
El artículo presenta la distribución gamma generalizada flexible, cuya función de densidad puede expresarse como una combinación lineal infinita de densidades gamma generalizadas. Se describen algunas de sus propiedades estadísticas y se analiza la estimación por máxima verosimilitud. Se construye un modelo de regresión con dos componentes sistemáticos para datos censurados. Tres aplicaciones a datos reales de COVID-19 revelan que el nuevo modelo proporciona y supera a algunos modelos de la competencia.
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1. Fastel Chipepa, Mahmoud M. Abdelwahab, Wellington Fredrick Charumbira, Mustafa M. Hasaballah. (2025). A New Topp–Leone Odd Weibull Flexible-G Family of Distributions with Applications. Mathematics, 13(17), p.2866. https://doi.org/10.3390/math13172866.
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