# Information geometry : near randomness and near independence /

Arwini, Khadiga A.

Information geometry : near randomness and near independence / Khadiga A. Arwini, Christopher T.J. Dodson. - Berlin : Springer, ©2008. - 1 online resource (x, 253 pages) : illustrations - Lecture notes in mathematics, 1953 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1953. .

Includes bibliographical references (pages 235-246) and index.

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 / Cryptographic attacks and signal clustering -- Stochastic fibre networks / Stochastic porous media and hydrology / Quantum chaology. with A.J. Doig -- with W.W. Sampson -- with J. Scharcanski and S. Felipussi --

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.

English.

9783540693932 3540693939 9783540693918 3540693912

10.1007/978-3-540-69393-2 doi

978-3-540-69391-8 Springer http://www.springerlink.com

Mathematical statistics.

Information theory.

Geometry, Differential.

Géométrie différentielle.

Statistique mathématique.

Théorie de l'information.

Geometry, Differential.

Information theory.

Mathematical statistics.

Electronic books.

Electronic books.

QA276 / .A78 2008eb

510.08

Information geometry : near randomness and near independence / Khadiga A. Arwini, Christopher T.J. Dodson. - Berlin : Springer, ©2008. - 1 online resource (x, 253 pages) : illustrations - Lecture notes in mathematics, 1953 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1953. .

Includes bibliographical references (pages 235-246) and index.

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 / Cryptographic attacks and signal clustering -- Stochastic fibre networks / Stochastic porous media and hydrology / Quantum chaology. with A.J. Doig -- with W.W. Sampson -- with J. Scharcanski and S. Felipussi --

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.

English.

9783540693932 3540693939 9783540693918 3540693912

10.1007/978-3-540-69393-2 doi

978-3-540-69391-8 Springer http://www.springerlink.com

Mathematical statistics.

Information theory.

Geometry, Differential.

Géométrie différentielle.

Statistique mathématique.

Théorie de l'information.

Geometry, Differential.

Information theory.

Mathematical statistics.

Electronic books.

Electronic books.

QA276 / .A78 2008eb

510.08