Hellinger distance

GPTKB entity
AI-created image of Hellinger distance
AI-created image

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
statistical distance
gptkbp:appliesTo continuous probability distributions
discrete probability distributions
gptkbp:form H(P,Q) = (1/√2) * sqrt(∑ (√p_i - √q_i)^2)
gptkbp:hasInvariant relabeling of outcomes
https://www.w3.org/2000/01/rdf-schema#label Hellinger distance
gptkbp:includesMetric true
gptkbp:isZeroWhen distributions are identical
gptkbp:maximumSpeed 1
gptkbp:measures similarity between probability distributions
gptkbp:minimumPressure 0
gptkbp:namedAfter gptkb:Ernst_Hellinger
gptkbp:range [0,1]
gptkbp:relatedTo gptkb:Kullback–Leibler_divergence
gptkb:Bhattacharyya_distance
total variation distance
gptkbp:symmetry true
gptkbp:usedIn gptkb:information_theory
gptkb:probability_theory
statistics
gptkbp:bfsParent gptkb:Ernst_Hellinger
gptkbp:bfsLayer 4