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A User's Guide to Measure Theoretic Probability
Contributor(s): Pollard, David (Author), Gill, R. (Editor), Ripley, B. D. (Editor)
ISBN: 0521802423     ISBN-13: 9780521802420
Publisher: Cambridge University Press
OUR PRICE:   $151.05  
Product Type: Hardcover - Other Formats
Published: December 2001
Qty:
Additional Information
BISAC Categories:
- Mathematics | Probability & Statistics - General
Dewey: 519.2
LCCN: 2001035270
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Physical Information: 0.81" H x 7" W x 10" (1.87 lbs) 366 pages
 
Descriptions, Reviews, Etc.
Publisher 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.