This reference and text offers a thorough analysis of conditional expectations and probability measures, and demonstrates their important uses in real situations. Coverage includes applications to sufficiency, Markov processes, Martingales and analysis problems.;Presenting different characterizations of conditional operators and meausures to illuminate the abstract and functional analytic nature of conditioning, this volume: reviews the general concept of conditioning; supplies Kolmogorov's formulation and its properties; ...
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This reference and text offers a thorough analysis of conditional expectations and probability measures, and demonstrates their important uses in real situations. Coverage includes applications to sufficiency, Markov processes, Martingales and analysis problems.;Presenting different characterizations of conditional operators and meausures to illuminate the abstract and functional analytic nature of conditioning, this volume: reviews the general concept of conditioning; supplies Kolmogorov's formulation and its properties; provides an axiomatic method for simplifying problems as an abstraction of Kolmogorov's general formulation; explicates sufficient statistics; and illustrates difficulties in the calculation of conditional expectations for continuous multivariate distributions and provides methods for correct solutions in many cases.;This work is designed as a reference for pure and applied mathematicians, probabilists, statisticians, information theorists, physicists and communication and industrial engineers; as well as a text for graduate level students in these discipines.
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Fine. Sewn binding. Cloth over boards. 506 p. Monographs and Textbooks in Pure and Applied Mathematics, 271. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.