eBook - PDF

Foundations of Stochastic Analysis

Name: Foundations of Stochastic Analysis
ISBN: 9781483269313

M. M. Rao,

Z. W. Birnbaum,

E. Lukacs,

310 pages
English
PDF
Available on iOS & Android

eBook - PDF

Foundations of Stochastic Analysis

M. M. Rao,

Z. W. Birnbaum,

E. Lukacs,

About this book

Foundations of Stochastic Analysis deals with the foundations of the theory of Kolmogorov and Bochner and its impact on the growth of stochastic analysis. Topics covered range from conditional expectations and probabilities to projective and direct limits, as well as martingales and likelihood ratios. Abstract martingales and their applications are also discussed. Comprised of five chapters, this volume begins with an overview of the basic Kolmogorov-Bochner theorem, followed by a discussion on conditional expectations and probabilities containing several characterizations of operators and measures. The applications of these conditional expectations and probabilities to Reynolds operators are also considered. The reader is then introduced to projective limits, direct limits, and a generalized Kolmogorov existence theorem, along with infinite product conditional probability measures. The book also considers martingales and their applications to likelihood ratios before concluding with a description of abstract martingales and their applications to convergence and harmonic analysis, as well as their relation to ergodic theory. This monograph should be of considerable interest to researchers and graduate students working in stochastic analysis.

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Yes, you can access Foundations of Stochastic Analysis by M. M. Rao, Z. W. Birnbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.