Foundations of Stochastic Analysis (Dover Books on Mathematics) - Softcover

Book 26 of 30: Probability and Mathematical Statistics

Rao, M M

 
9780486481227: Foundations of Stochastic Analysis (Dover Books on Mathematics)

Synopsis

Stochastic analysis involves the study of a process involving a randomly determined sequence of observations, each of which represents a sample of one element of probability distribution. This volume considers fundamental theories and contrasts the natural interplay between real and abstract methods.
Starting with the introduction of the basic Kolmogorov-Bochner existence theorem, the text explores conditional expectations and probabilities as well as projective and direct limits. Subsequent chapters examine several aspects of discrete martingale theory, including applications to ergodic theory, likelihood ratios, and the Gaussian dichotomy theorem. Prerequisites include a standard measure theory course. No prior knowledge of probability is assumed; therefore, most of the results are proved in detail. Each chapter concludes with a problem section that features many hints and facts, including the most important results in information theory.

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Other Popular Editions of the Same Title

9781483245164: Foundations of Stochastic Analysis

Featured Edition

ISBN 10:  1483245160 ISBN 13:  9781483245164
Publisher: Academic Press, 2014
Softcover