A Graduate Course in Probability

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book A Graduate Course in Probability by Howard G. Tucker, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Howard G. Tucker ISBN: 9780486782119
Publisher: Dover Publications Publication: December 10, 2013
Imprint: Dover Publications Language: English
Author: Howard G. Tucker
ISBN: 9780486782119
Publisher: Dover Publications
Publication: December 10, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Variational Principles by Howard G. Tucker
Cover of the book Arthur Rackham's Book of Pictures by Howard G. Tucker
Cover of the book Adventures of Huckleberry Finn by Howard G. Tucker
Cover of the book Sears House Designs of the Thirties by Howard G. Tucker
Cover of the book The Metamorphosis and Other Stories by Howard G. Tucker
Cover of the book The Art of Cartooning by Howard G. Tucker
Cover of the book Jewish Wit and Wisdom by Howard G. Tucker
Cover of the book The Architecture of McKim, Mead & White in Photographs, Plans and Elevations by Howard G. Tucker
Cover of the book The Book of the Crossbow by Howard G. Tucker
Cover of the book A Week on the Concord and Merrimack Rivers by Howard G. Tucker
Cover of the book Numerical Methods for Scientists and Engineers by Howard G. Tucker
Cover of the book Beyond the Atmosphere by Howard G. Tucker
Cover of the book Insects by Howard G. Tucker
Cover of the book Mathematical Economics by Howard G. Tucker
Cover of the book Theory of Thermal Stresses by Howard G. Tucker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy