Stochastic Processes: Harmonizable Theory
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A01=Malempati Madhusudana Rao
Analysis of Bistochastic Operators
Author_Malempati Madhusudana Rao
Category=PBT
Category=PBWL
Doob
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Harmonizable Classes
Harmonizable Processes
Harmonizable Theory
Including Works of Cramer
Integral Representations of (Gel'fand's) Local Functionals
Karhunen
Kolmogorov
Loeve and Others
Nonstationary Process
Positive Definiteness
Probabilistic Proof of Riemann's Hypothesis
Rozanov
Statistical Analysis
Stochastic Processes
Structural and Integral Representations
Weakly Stationary Processes
Product details
- ISBN 9789811213656
- Publication Date: 05 Oct 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book presents, for the first time, a detailed analysis of harmonizable processes and fields (in the weak sense) that contain the corresponding stationary theory as a subclass. It also gives the structural and some key applications in detail. These include Levy's Brownian motion, a probabilistic proof of the longstanding Riemann's hypothesis, random fields indexed by LCA and hypergroups, extensions to bistochastic operators, Cramér-Karhunen classes, as well as bistochastic operators with some statistical applications.The material is accessible to graduate students in probability and statistics as well as to engineers in theoretical applications. There are numerous extensions and applications pointed out in the book that will inspire readers to delve deeper.
