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A User's Guide to Measure Theoretic Probability (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 8)

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A User's Guide to Measure Theoretic Probability (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 8) image
ISBN-10:

0521802423

ISBN-13:

9780521802420

Author(s): POLLARD, DAVID
Edition: 1
Released: Dec 17, 2001
Publisher: Cambridge University Press
Format: Hardcover, 366 pages
Related ISBN: 9780521002899
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Description:

This book grew from a one-semester course offered for many years to a mixed audience of graduate and undergraduate students who have not had the luxury of taking a course in measure theory. The core of the book covers the basic topics of independence, conditioning, martingales, convergence in distribution, and Fourier transforms. In addition there are numerous sections treating topics traditionally thought of as more advanced, such as coupling and the KMT strong approximation, option pricing via the equivalent martingale measure, and the isoperimetric inequality for Gaussian processes. The book is not just a presentation of mathematical theory, but is also a discussion of why that theory takes its current form. It will be a secure starting point for anyone who needs to invoke rigorous probabilistic arguments and understand what they mean.

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