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Jarak Hellinger×Divergensi Kullback-Leibler×
BidangPengambilan KeputusanPengambilan Keputusan
KeluargaMCDMMCDM
Tahun asal19091951
PencetusErnst HellingerSolomon Kullback and Richard Leibler
TipeSymmetric metric for probability distributionsAsymmetric probability distribution dissimilarity
Sumber perintisHellinger, E. (1909). Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die Reine und Angewandte Mathematik, 136, 210-271. DOI ↗Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22(1), 79-86. DOI ↗
AliasBhattacharyya distance, Hellinger metricKL divergence, relative entropy, information divergence
Terkait22
RingkasanHellinger 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.Kullback-Leibler divergence, also called relative entropy or information divergence, measures the asymmetric difference between two probability distributions. Introduced by Solomon Kullback and Richard Leibler in 1951, this information-theoretic measure quantifies how one probability distribution diverges from a reference distribution, ranging from 0 (identical distributions) to infinity. It is foundational in information theory, machine learning, and decision-making with probabilistic frameworks.
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ScholarGateBandingkan metode: Hellinger Distance · Kullback-Leibler Divergence. Diakses 2026-06-19 dari https://scholargate.app/id/compare