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Information Geometry

Near Randomness and Near Independence

  • Book
  • © 2008

Overview

Part of the book series: Lecture Notes in Mathematics (LNM)

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Table of contents (11 chapters)

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About this book

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.

Authors and Affiliations

  • Mathematics Department, Al-Fateh University, Tripoli, Libya

    Khadiga A. Arwini

  • School of Mathematics, University of Manchester, Manchester, UK

    Christopher T. J. Dodson

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