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On the Convergence of Expansions for the Exponentiated Transmuted-G Family
Sobre la convergencia de las expansiones en serie para la familia de distribuciones G-transmutada exponenciada
DOI:
https://doi.org/10.15446/rce.v48n3.123209Keywords:
Exponentiated transmuted-G family, Moments, Power series expansions, Weibull distribution (en)Distribución de Weibull, Expansiones en series de potencias, Familia G-transmutada exponenciada, Momentos (es)
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The exponentiated transmuted-G family was introduced along with some of its statistical properties derived from a power series expansion. This work demonstrates that the previously proposed expansions, which depend on a double sum, present convergence problems for some combinations of parameters. Therefore, a much simpler linear representation that depends only on a single sum is presented, allowing for the precise and general calculation of these properties.
La familia de distribuciones G-transmutada exponenciada fue introducida junto con algunas de sus propiedades estadísticas derivadas de una expansión en series de potencias. Este trabajo demuestra que las expansiones previamente propuestas, que dependen de una suma doble, presentan problemas de convergencia para algunas combinaciones de parámetros. Por lo tanto, se presenta una representación lineal mucho más simple, que depende solo de una suma simple, lo que permite el cálculo preciso y general de estas propiedades.
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