F. J. Alonso, J. M. Angulo, F. J. Esquivel, M. C. Bueso

La generalización de la entropía de Shannon por Rényi se ha constituido como la más representativa preservando la extensividad en sistemas independientes. El índice de diversidad de Campbell establece una escala apropiada para la valoración en términos de estados intrínsecos a un sistema en función de su estructura de probabilidad. Cuando el objetivo es comparar dos distribuciones, siguiendo la misma filosofía, se puede definir un índice de diversidad relativa ligado a la divergencia de Rényi. Caso de especial interés es cuando se compara una distribución conjunta multidimensional con el producto de las marginales. En este escenario, se propone un enfoque de cuantificación de la dependencia basado en el concepto de diversidad mutua. En particular, se discuten las implicaciones en términos de complejidad. En el ámbito multifractal, se interpreta la relación con dimensiones generalizadas.

Keywords: Entropía de Shannon, Entropía de Rényi, Índice de Diversidad, Divergencia, Complejidad, Dimensiones Generalizadas.


Spatial Statistics and Temporal Space I
June 7, 2022  3:30 PM
Conference hall

Other papers in the same session

Spatio-temporal modeling and analysis of daily maximum temperatures

J. Castillo-Mateo, A. E. Gelfand, A. C. Cebrián Guajardo, J. Asín Lafuente, J. Abaurrea

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