Random and Vector Measures

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World Scientific, 2011 - Electronic books - 553 pages
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The book is devoted to the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. The spaces can be Banach or Frechet types. Several stationary aspects and related processes are analyzed whilst numerous new results are included and many research avenues are opened up.
 

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Contents

1 Introduction and Motivation
1
2 Second Order Random Measures and Representations
23
3 Random Measures Admitting Controls
61
Specialized Analysis
125
5 More on Random Measures and Integrals
167
6 Martingale Type Measures and Their Integrals
217
7 Multiple Random Measures and Integrals
269
8 Vector Measures and Integrals
373
9 Random and Vector Multimeasures
447
Bibliography
497
Notation Index
523
Author Index
529
Subject Index
535
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