Information and Divergence Measures

• Other Authors: Karagrigoriou, Alex (Editor), Makrides, Andreas (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Physics; exponential family; statistical divergence; truncated exponential family; truncated normal distributions; double index divergence test statistic; multivariate data analysis; conditional independence; cross tabulations; extremal combinatorics; graphs; Han's inequality; information inequalities; polymatroid; rank function; set function; Shearer's lemma; submodularity; empirical survival Jensen-Shannon divergence; Kolmogorov-Smirnov two-sample test; skew logistic distribution; bi-logistic growth; epidemic waves; COVID-19 data; Rényi's pseudodistance; minimum Rényi's pseudodistance estimators; restricted minimum Rényi's pseudodistance estimators; Rao-type tests; divergence-based tests; Multivariate Cauchy distribution (MCD); Kullback-Leibler divergence (KLD); multiple power series; Lauricella D-hypergeometric series; statistical K-means; academic evaluation; statistical manifold; clustering; concomitants; GOS; FGM family; Shannon entropy; Tsallis entropy; Awad entropy; residual entropy; past entropy; Fisher-Tsallis information number; Tsallis divergence; bootstrap discrepancy comparison probability (BDCP); discrepancy comparison probability (DCP); likelihood ratio test (LRT); model selection; p-value; LPI; radar waveform; passive interception systems; Kullback-Leibler divergence; joint entropy; Tsallis logarithm; Kaniadakis logarithm; weighted Tsallis divergence; weighted Kaniadakis divergence; geodesic; Fisher information; differential geometry; transversality; multivariate Gaussian; n/a; moment condition models; divergences; robustness
• Online Access: DOAB: download the publication; DOAB: description of the publication

The concept of distance is important for establishing the degree of similarity and/or closeness between functions, populations, or distributions. As a result, distances are related to inferential statistics, including problems related to both estimation and hypothesis testing, as well as modelling w...