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portada A User's Guide to Measure Theoretic Probability Hardback (Cambridge Series in Statistical and Probabilistic Mathematics)
Type
Physical Book
Year
2001
Language
English
Pages
366
Format
Hardcover
Dimensions
25.4 x 17.8 x 2.1 cm
Weight
0.85 kg.
ISBN
0521802423
ISBN13
9780521802420
Edition No.
1

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

David Pollard (Author) · Cambridge University Press · Hardcover

A User's Guide to Measure Theoretic Probability Hardback (Cambridge Series in Statistical and Probabilistic Mathematics) - Pollard, David

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Synopsis "A User's Guide to Measure Theoretic Probability Hardback (Cambridge Series in Statistical and Probabilistic Mathematics)"

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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