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.
"synopsis" may belong to another edition of this title.
Seller: BooksRun, Philadelphia, PA, U.S.A.
Paperback. Condition: Good. Reprint. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Seller Inventory # 0486481220-11-1
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Paperback. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0486481220I3N00
Seller: Weird World, Pittsburgh, PA, U.S.A.
Soft cover. Condition: Near Fine. A trade paperback copy in excellent shape. Minimal wear. 295pp. Seller Inventory # ABE-1601993679675
Seller: Singularity Rare & Fine, Baldwinsville, NY, U.S.A.
Soft cover. Condition: New. New; pristine. See scans and description. Mineola, NY: Dover Publications, Inc., 2011. 'Foundations of Stochastic Analysis', by M.M. Rao. Original Rao copyright was in1981; original publication was by Academic Press, Inc. in 1981. Octavo, glossy illustrated perfect-bound wraps, 317 pp. (xi + 295 +11 pp Dover catalog). New; flawless. See scans. L90. Seller Inventory # 62672
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT25-95908
Seller: ALLBOOKS1, Direk, SA, Australia
Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address. Seller Inventory # SHAK95908
Seller: Antiquariat Bernhardt, Kassel, Germany
kartoniert. Condition: Sehr gut. Zust: Gutes Exemplar. 295 Seiten, mit Abbildungen, Englisch 330g. Seller Inventory # 494697