Probability with Martingales pdf epub mobi txt 電子書下載2025

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出版者:Cambridge University Press

作者:David Williams

出品人:

頁數:251

译者:

出版時間:1991-2-22

價格:USD 69.99

裝幀:Paperback

isbn號碼:9780521406055

叢書系列:Cambridge Mathematical Textbooks

圖書標籤:

數學
概率論
測度論
Probability
probability
math
Mathematics
quant

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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.

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主要是圍繞martingale展開的，前麵一部份介紹必要的measure theory的部分，點到即止，都是後麵基本的probability theory需要用到的。即使你之前不懂measure theory也能看懂。難怪是給undergraduate用的。 williams是這個方嚮上文筆最好的數學傢瞭。

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