• Produktbild: Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences
  • Produktbild: Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences
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Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

29.09.1998

Abbildungen

VIII, 158 p.

Verlag

Birkhäuser Boston

Seitenzahl

158

Maße (L/B/H)

24,1/16/1,4 cm

Gewicht

424 g

Auflage

1998

Sprache

Englisch

ISBN

978-0-8176-4082-8

Beschreibung

Rezension

"This book gives a mathematical treatment of a variety of methods for quantifying divergence or similarity between sets of proability distributions on a common space. Classical metrics, such as total variation and Kullback--Liebler divergence, are generalized. Such problems arise in statistics, economics and information theory. The book gives Brief but useful treatments of these and other applications with abundant references... well written with pointers to history and other methods of proof."


--Journal of the American Statistical Assoc.


"The book is compact and is dense with information. There is considerable motivation in the introduction... Contain[s] much material for the specialist."



--Zentralblatt Math




Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

29.09.1998

Abbildungen

VIII, 158 p.

Verlag

Birkhäuser Boston

Seitenzahl

158

Maße (L/B/H)

24,1/16/1,4 cm

Gewicht

424 g

Auflage

1998

Sprache

Englisch

ISBN

978-0-8176-4082-8

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences
  • Produktbild: Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences
  • Part I: Comparing Partial Orderings Among Stochastic Matrices.- Introduction.- Notation and Definitions.- Generalizations of Classical Channel Comparisons.- Degradation is the Same as Increasing Density.- Shannon's Inclusion Implies Smaller Capacity.- A Simple Case: Matrices A and B have only Two Columns.- Open Problems.- Part II: Divergence and Contraction Coefficients.- Introduction, Definitions, and Notation.- A Generalization of an Inequality of Dobrushin.- The Divergence.- Divergence between Images of Measures via Markov Kernels, Contraction Coefficients.- A Particular Case: At Most Countable Spaces.- Behavior of ϕ ↦ η ϕ (T) for a Fixed Markov Kernel T.- Applications of Global Divergence to Comparison of Experiments.- History of the Problem.