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Book Cover
E-book
Author Arwini, Khadiga A.

Title Information geometry : near randomness and near independence / Khadiga A. Arwini, Christopher T.J. Dodson
Published Berlin : Springer, [2008]
©2008
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Description 1 online resource (x, 253 pages) : illustrations
Series Lecture notes in mathematics, 0075-8434 ; 1953
Lecture notes in mathematics (Springer-Verlag) ; 1953
Contents 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
Summary 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
Bibliography Includes bibliographical references (pages 235-246) and index
Notes Print version record
Subject Mathematical statistics.
Information theory.
Geometry, Differential.
Form Electronic book
Author Dodson, C. T. J.
Doig, A. J
Sampson, William W.
Scharcanski, J
Felipussi, S
LC no. 2008931163
ISBN 3540693912
3540693939
9783540693918
9783540693932