04595nam 22008655 450 99646637990331620200629185656.03-540-69393-910.1007/978-3-540-69393-2(CKB)1000000000437223(SSID)ssj0000318246(PQKBManifestationID)11245585(PQKBTitleCode)TC0000318246(PQKBWorkID)10311125(PQKB)11103370(DE-He213)978-3-540-69393-2(MiAaPQ)EBC3063109(MiAaPQ)EBC6283232(PPN)127054715(EXLCZ)99100000000043722320100301d2008 u| 0engurnn|008mamaatxtccrInformation Geometry[electronic resource] Near Randomness and Near Independence /by Khadiga Arwini, C. T. J. Dodson1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (X, 260 p. 103 illus.) Lecture Notes in Mathematics,0075-8434Bibliographic Level Mode of Issuance: Monograph3-540-69391-2 Includes bibliographical references and index.Mathematical 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.This 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.Lecture Notes in Mathematics,0075-8434Differential geometryApplied mathematicsEngineering mathematicsProbabilitiesStatistics MechanicsMechanics, AppliedBiomathematicsDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Genetics and Population Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31010Differential geometry.Applied mathematics.Engineering mathematics.Probabilities.Statistics .Mechanics.Mechanics, Applied.Biomathematics.Differential Geometry.Applications of Mathematics.Probability Theory and Stochastic Processes.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.Solid Mechanics.Genetics and Population Dynamics.519.5Arwini Khadigaauthttp://id.loc.gov/vocabulary/relators/aut315797Dodson C. T. Jauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466379903316Information geometry230601UNISA