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Information Geometry : Near Randomness and Near Independence / by Khadiga A. Arwini, Christopher T. J. Dodson.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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Format:
Book
Author/Creator:
Arwini, Khadiga A., author.
Dodson, Christopher T. J., author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics,. 0075-8434
Lecture Notes in Mathematics, 0075-8434
Language:
English
Subjects (All):
Global differential geometry.
Mathematics.
Distribution (Probability theory).
Statistics.
Mechanics.
Mechanics, Applied.
Genetics--Mathematics.
Genetics.
Differential Geometry.
Applications of Mathematics.
Probability Theory and Stochastic Processes.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Solid Mechanics.
Genetics and Population Dynamics.
Local Subjects:
Differential Geometry.
Applications of Mathematics.
Probability Theory and Stochastic Processes.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Solid Mechanics.
Genetics and Population Dynamics.
Physical Description:
1 online resource (X, 260 pages 103 illustrations).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
System Details:
text file PDF
Summary:
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.
Contents:
Mathematical Statistics and Information Theory
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.
Other Format:
Printed edition:
ISBN:
9783540693932
Access Restriction:
Restricted for use by site license.

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