Probability with martingales

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Probability with martingales

Probability with martingales

Name: Probability with martingales
ISBN: 9780521406055

Williams, David

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This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real probability theory. Classical results, such as Kolmogorov's Strong Law of Large Numbers and Three-Series Theorem are proved by martingale techniques. A proof of the Central Limit Theorem is also given. The author's style is entertaining and inimitable with pedagogy to the fore. Exercises play a vital role; there is a full quota of interesting and challenging problems, some with hints.

Thể loại:

Mathematics

Năm:

2014

In lần thứ:

17th print.

Nhà xuát bản:

Cambridge University Press

Ngôn ngữ:

english

Trang:

251