Sobre la convergencia de las expansiones en serie para la familia de distribuciones G-transmutada exponenciada

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.

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Publication Details

Journal
Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Published
2025-12-01
Primary Topic
Statistical Distribution Estimation and Applications
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article
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article

Sobre la convergencia de las expansiones en serie para la familia de distribuciones G-transmutada exponenciada

Renata Rojas Guerra, Gauss M. Cordeiro, Fernando A. Peña Ramírez, Alexsandro A. Ferreira
Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Statistical Distribution Estimation and Applications
article

Sobre la convergencia de las expansiones en serie para la familia de distribuciones G-transmutada exponenciada

Renata Rojas Guerra, Gauss M. Cordeiro, Fernando A. Peña Ramírez, Alexsandro A. Ferreira
article en

Abstract

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.

Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Openalex Percentile: Top 19%
Statistical Distribution Estimation and Applications
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