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Distancia de Hellinger×Divergencia Jensen-Shannon×
CampoToma de decisionesToma de decisiones
FamiliaMCDMMCDM
Año de origen19091991
Autor originalErnst HellingerJ. Lin
TipoSymmetric metric for probability distributionsSymmetric probability distribution dissimilarity
Fuente seminalHellinger, E. (1909). Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die Reine und Angewandte Mathematik, 136, 210-271. DOI ↗Lin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Transactions on Information Theory, 37(1), 145-151. DOI ↗
AliasBhattacharyya distance, Hellinger metricJS divergence, symmetric KL divergence, JS distance
Relacionados22
ResumenHellinger distance is a symmetric, bounded metric that measures the difference between two probability distributions. Rooted in the work of Ernst Hellinger (1909) and later formalized in statistical divergence by Anil Bhattacharyya (1946), this distance ranges from 0 (identical distributions) to 1. It is a true metric satisfying all mathematical distance properties and is particularly well-suited for comparing probability distributions in a symmetric, numerically stable manner.Jensen-Shannon divergence is a symmetric information-theoretic measure of the difference between two probability distributions. Developed by Jian Lin in 1991 as a refinement to the asymmetric Kullback-Leibler divergence, it overcomes KL's directional limitation by averaging the divergences in both directions. The result is a true metric (satisfying triangle inequality) that ranges from 0 (identical distributions) to 1, making it suitable for symmetric comparison tasks.
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ScholarGateComparar métodos: Hellinger Distance · Jensen-Shannon Divergence. Recuperado el 2026-06-19 de https://scholargate.app/es/compare