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Author:   Y.A. Rozanov ,  Constance M. Elson
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1982
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.338kg
ISBN:  

9781461381921

ISBN 10:   1461381924
Pages:   201
Publication Date:   24 October 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1 General Facts About Probability Distributions.- §1. Probability Spaces.- §2. Conditional Distributions.- §3. Zero-One Laws. Regularity.- §4. Consistent Conditional Distributions.- §5. Gaussian Probability Distributions.- 2 Markov Random Fields.- §1. Basic Definitions and Useful Propositions.- §2. Stopping ?-algebras. Random Sets and the Strong Markov Property.- §3. Gaussian Fields. Markov Behavior in the Wide Sense.- 3 The Markov Property for Generalized Random Functions.- §1. Biorthogonal Generalized Functions and the Duality Property.- §2. Stationary Generalized Functions.- §3. Biorthogonal Generalized Functions Given by a Differential Form.- §4. Markov Random Functions Generated by Elliptic Differential Forms.- §5. Stochastic Differential Equations.- 4 Vector-Valued Stationary Functions.- §1. Conditions for Existence of the Dual Field.- §2. The Markov Property for Stationary Functions.- §3. Markov Extensions of Random Processes.- Notes.

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