LEADER 04049nam 2200961z- 450 001 9910576871103321 005 20220621 035 $a(CKB)5720000000008465 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/84568 035 $a(oapen)doab84568 035 $a(EXLCZ)995720000000008465 100 $a20202206d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aDivergence Measures$eMathematical Foundations and Applications in Information-Theoretic and Statistical Problems 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (256 p.) 311 08$a3-0365-4332-5 311 08$a3-0365-4331-7 330 $aData science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled "Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems", includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the R_e?nyi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures. 517 $aDivergence Measures 606 $aMathematics & science$2bicssc 606 $aResearch & information: general$2bicssc 610 $aAugustin-Csisza?r mutual information 610 $aBahadur efficiency 610 $aBayes risk 610 $abootstrap 610 $aBregman divergence 610 $acapacitory discrimination 610 $aCarlson-Levin inequality 610 $achi-squared divergence 610 $aconditional limit theorem 610 $aconditional Re?nyi divergence 610 $aconvexity 610 $adata transmission 610 $adifference of convex (DC) programming 610 $adimensionality reduction 610 $adiscriminant analysis 610 $aerror exponents 610 $af-divergence 610 $af-divergences 610 $ahorse betting 610 $ahypothesis testing 610 $ainformation contraction 610 $ainformation geometry 610 $ainformation inequalities 610 $ainformation measures 610 $aJensen diversity 610 $aJensen-Bregman divergence 610 $aJensen-Shannon centroid 610 $aJensen-Shannon divergence 610 $aKelly gambling 610 $alarge deviations 610 $aMarkov chains 610 $amaximal correlation 610 $amaximum likelihood 610 $amethod of types 610 $aminimum divergence estimator 610 $amixture family 610 $amutual information 610 $an/a 610 $aPinsker's inequality 610 $arelative entropy 610 $aRe?nyi divergence 610 $aRe?nyi entropy 610 $aRe?nyi mutual information 610 $askew-divergence 610 $astatistical divergences 610 $astatistical inference 610 $astrong data-processing inequalities 610 $atotal variation 610 $a?-mutual information 615 7$aMathematics & science 615 7$aResearch & information: general 700 $aSason$b Igal$4edt$0625922 702 $aSason$b Igal$4oth 906 $aBOOK 912 $a9910576871103321 996 $aDivergence Measures$93023147 997 $aUNINA