LEADER 04570nam 22008655 450 001 9910484342403321 005 20200629185656.0 010 $a3-540-69393-9 024 7 $a10.1007/978-3-540-69393-2 035 $a(CKB)1000000000437223 035 $a(SSID)ssj0000318246 035 $a(PQKBManifestationID)11245585 035 $a(PQKBTitleCode)TC0000318246 035 $a(PQKBWorkID)10311125 035 $a(PQKB)11103370 035 $a(DE-He213)978-3-540-69393-2 035 $a(MiAaPQ)EBC3063109 035 $a(MiAaPQ)EBC6283232 035 $a(PPN)127054715 035 $a(EXLCZ)991000000000437223 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aInformation Geometry $eNear Randomness and Near Independence /$fby Khadiga Arwini, C. T. J. Dodson 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (X, 260 p. 103 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-69391-2 320 $aIncludes bibliographical references and index. 327 $aMathematical Statistics and Information Theory -- to Riemannian Geometry -- Information Geometry -- Information Geometry of Bivariate Families -- Neighbourhoods of Poisson Randomness, Independence, and Uniformity -- Cosmological Voids and Galactic Clustering -- Amino Acid Clustering -- Cryptographic Attacks and Signal Clustering -- Stochastic Fibre Networks -- Stochastic Porous Media and Hydrology -- Quantum Chaology. 330 $aThis volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a wide range of illustrative applications including amino acid sequence spacings in protein chains, cryptology studies, clustering of communications and galaxies, cosmological voids, coupled spatial statistics in stochastic fibre networks and stochastic porous media, quantum chaology. Introduction sections are provided to mathematical statistics, differential geometry and the information geometry of spaces of probability density functions. 410 0$aLecture Notes in Mathematics,$x0075-8434 606 $aDifferential geometry 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbabilities 606 $aStatistics  606 $aMechanics 606 $aMechanics, Applied 606 $aBiomathematics 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17020 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010 615 0$aDifferential geometry. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aProbabilities. 615 0$aStatistics . 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aBiomathematics. 615 14$aDifferential Geometry. 615 24$aApplications of Mathematics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aSolid Mechanics. 615 24$aGenetics and Population Dynamics. 676 $a519.5 700 $aArwini$b Khadiga$4aut$4http://id.loc.gov/vocabulary/relators/aut$0315797 702 $aDodson$b C. T. J$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484342403321 996 $aInformation geometry$9230601 997 $aUNINA