A Graduate Course in Probability - Couverture souple

Tucker, Howard G.; Stone, Meg

 
9780486493039: A Graduate Course in Probability

Synopsis

Suitable for a graduate course in analytic probability theory, this text requires no previous knowledge of probability and only a limited background in real analysis. In addition to providing instruction for graduate students in mathematics and mathematical statistics, the book features detailed proofs that offer direct access to the basic theorems of probability theory for mathematicians of all interests.
The treatment strikes a balance between measure-theoretic aspects of probability and distribution aspects, presenting some of the basic theorems of analytic probability theory in a cohesive manner. Statements are rendered as simply as possible in order to make them easy to remember and to demonstrate the essential idea behind each proof. Topics include probability spaces and distributions, stochastic independence, basic limiting operations, strong limit theorems for independent random variables, the central limit theorem, conditional expectation and Martingale theory, and an introduction to stochastic processes, particularly Brownian motion. Each section concludes with problems that reinforce the preceding material.

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À propos de l?auteur

Howard G. Tucker is Professor Emeritus of Mathematics at the University of California, Irvine. His other books include Mathematical Methods for Sample Surveys.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780127026466: Graduate Course in Probability

Edition présentée

ISBN 10 :  0127026460 ISBN 13 :  9780127026466
Editeur : Academic Press Inc, 1967
Couverture rigide