Measures of distance between probability distributions

DOI10.1016/0022-247X(89)90335-1zbMath0669.60025OpenAlexW1980505254MaRDI QIDQ1118898

S. H. Smith

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90335-1

zbMATH Keywords

functional equationsChernoff coefficientDistances between probability distributionsHellinger coefficientJ- divergenceJeffreys distance

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Functional equations and inequalities (39B99)

Related Items (20)

Superstability of the functional equation related to distance measures ⋮ Kannappan's functional equation on semigroups with involution ⋮ Characterizations of sum form information measures on open domains ⋮ Unnamed Item ⋮ On two functional equations connected with the characterizations of the distance measures ⋮ Superstability of the functional equation with a cocycle related to distance measures ⋮ A variant of a generalized quadratic functional equation on groups ⋮ On dealing with the unknown population minimum in parametric inference ⋮ Stability of some functional equations related to distance measures. I. ⋮ Yet another variant of the Drygas functional equation on groups ⋮ Novel Fisher discriminant classifiers ⋮ Measures of Dependence and Tests of Independence ⋮ Kantorovich–Rubinstein Distance Minimization: Application to Location Problems ⋮ Comparing large-scale graphs based on quantum probability theory ⋮ Distance-based tests for planar shape ⋮ A FIXED POINT APPROACH TO THE STABILITY OF THE FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES ⋮ Fuzzy MABAC method based on new exponential fuzzy information measures ⋮ On a functional equation on groups arising from the characterization of stochastic distance measures ⋮ A variant of d'Alembert's functional equation ⋮ Stability of Wilson's functional equations with involutions

Cites Work

• A multiple divergence criterion for testing between separate hypotheses
• A generalization of the cosine-sine functional equation on groups
• Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups
• Aggregation Theorems for Allocation Problems
• Representation for measures of information with the branching property
• Randomly Generated Nonlinear Transformations for Pattern Recognition
• A directed-divergence function of type β
• On directed divergence and inaccuracy
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
• An invariant form for the prior probability in estimation problems
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