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Probability with Martingales PDF

265 Pages·1991·6.469 MB·English
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by David Williams| 1991| 265 pages| 6.469| English

About Probability with Martingales

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.

Detailed Information

Author:David Williams
Publication Year:1991
ISBN:9780521406055
Pages:265
Language:English
File Size:6.469
Format:PDF
Price:FREE
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