概率论基础
Foundations of the theory of probability
Andrei Nikolaevich Kolmogorov、Nathan Morrison · 初版 1950 年
2人推荐
3位读者提及
3次提及
<a href="http://uf.catalog.fcla.edu/uf.jsp?st=UF024777441&ix=pm&I=0&V=D&pm=1" rel="nofollow">http://uf.catalog.fcla.edu/uf.jsp?st=UF024777441&ix=pm&I=0&V=D&pm=1</a>
Hacker News 上怎么说
正在加载完整评论……
在我看来，柯尔莫哥洛夫的《Foundations of the Theory of Probability》相当不错。我还没看太远，但里面的例子极棒，严谨性也完全拉满，而且这书也就 10 刀左右。
Kolmogorov's Foundations of the Theory of Probability is pretty good, IMO. I haven't made it very far, but he has great examples, plenty of rigor, and the book is like $10.
…是落在 [0,1] 区间内的一个数，性质非常像事件 A 的“面积”。这种联系是如此紧密，以至于我们最终不得不承认，概率论的基础就是测度论。随后 A. N. Kolmogorov 出版了《Foundations of the Theory of Probability, Second English Edition》，Chelsea Publishing Company，纽约，1956 年。这是德语原版《Grundbegriffe der Wahrscheinlichkeitrechnung》（《Ergebnisse Der Mathematik》，1933 年）的英译本。应用…
…is a number in [0,1] and acts much like the 'area' of A. The connection is so close that, in the end, we have to accept that the foundations of probability are measure theory. Then A. N. Kolmogorov, 'Foundations of the Theory of Probability, Second English Edition', Chelsea Publishing Company, New York, 1956. English translation of the original German '"Grundbegriffe der Wahrscheinlichkeitrechnung,"' 'Ergebnisse Der Mathematik', 1933. applied…
想想看，柯尔莫哥洛夫整本《Foundations of the Theory of Probability》其实也就 71 页而已 [1]。[1] https://archive.org/details/foundationsofthe00kolm
Consider Kolmogorov’s entire Foundations of the Theory of Probability is 71 pages long [1]. [1] https://archive.org/details/foundationsofthe00kolm