Information geometry : near randomness and near independence / Khadiga A. Arwini, Christopher T.J. Dodson.Material type: TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1953.Publication details: Berlin : Springer, ©2008. Description: 1 online resource (x, 253 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540693932; 3540693939; 9783540693918; 3540693912Subject(s): Mathematical statistics | Information theory | Geometry, Differential | Géométrie différentielle | Statistique mathématique | Théorie de l'information | Geometry, Differential | Information theory | Mathematical statisticsGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Information geometry.DDC classification: 510.08 LOC classification: QA276 | .A78 2008ebOnline resources: Click here to access online
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Mathematical statistics and information theory -- Introduction 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 / with A.J. Doig -- Cryptographic attacks and signal clustering -- Stochastic fibre networks / with W.W. Sampson -- Stochastic porous media and hydrology / with J. Scharcanski and S. Felipussi -- Quantum chaology.
Includes bibliographical references (pages 235-246) and index.
Print version record.
Annotation 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.