Description 
1 online resource (x, 253 pages) : illustrations 
Series 
Lecture notes in mathematics, 00758434 ; 1953 

Lecture notes in mathematics (SpringerVerlag) ; 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 235246) 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 
