……对数等等。现在我们可以开始搞应用概率和统计了。而且我们从头到尾都没提过频率学派或者贝叶斯学派。想看更多细节、想要优雅的表述，可以看 J. Neveu 的《Mathematical Foundations of the Calculus of Probability》。
…logarithm, etc. Now we are ready to do applied probability and statistics. And we have never mentioned either frequentism or Bayesianism. For more details, in an elegant presentation, see J. Neveu, Mathematical Foundations of the Calculus of Probability.
……Theory, I and II, 第4版，Springer-Verlag, New York。Kai Lai Chung，《A Course in Probability Theory, Second Edition》，ISBN 0-12-174650-X，Academic Press, New York。Jacques Neveu，《Mathematical Foundations of the Calculus of Probability》，Holden-Day, San Francisco。Neveu 的书言简意赅、极其精妙，但不太容易读懂。这部分内容在全美的数学系里可不怎么受待见。在普林斯顿的话，可以看看 Cinlar。然后应该就能有些进展了……
…Theory, I and II, 4th Edition,\/} Springer-Verlag, New York.\ \ Kai Lai Chung, {\it A Course in Probability Theory, Second Edition,\/} ISBN 0-12-174650-X, Academic Press, New York.\ \ Jacques Neveu, {\it Mathematical Foundations of the Calculus of Probability,\/} Holden-Day, San Francisco.\ \ Neveu is succinct, gorgeous, but not easy. This material is NOT popular in US departments of mathematics. At Princeton, see Cinlar. Then should make some progress…
……条件化（即贝叶斯），并由此深入到随机过程、马尔可夫过程和鞅（结论令人震撼）。相关书籍包括 L. Breiman 的《Probability》、K. Chung 的《A Course in Probability Theory》、J. Neveu 的《Mathematical Foundations of the Calculus of Probability》。还有更多。我没记错的话，Breiman 和 Neveu 都是伯克利 M. Loeve 的学生——当然，也可以看 Loeve 分两卷的《Probability》。在这些书里，Neveu 是我的最爱；写得很优雅；但是对于……
…conditioning (i.e., Bayesian) and, from there, in stochastic processes, Markov processes and martingales (astounding results). Books include L. Breiman, Probability, K. Chung, A Course in Probability Theory, J. Neveu, Mathematical Foundations of the Calculus of Probability. And there are more. IIRC Breiman and Neveu were both students of M. Loeve at Berkeley -- sure, can also get Loeve's Probability in two volumes. Of these, Neveu is my favorite; it's elegant; but for…
……在统计学里经常用，但在统计学里并没被严格定义。关于这种独立性，包括不可数无限随机变量集的独立性，在 J. Neveu 的《Mathematical Foundations of the Calculus of Probability》里有非常精炼、优雅且透彻的处理。
…used in statistics, but not defined in statistics. There is a polished, elegant, and thorough treatment of such independence, including of uncountably infinite sets of random variables, in J. Neveu, Mathematical Foundations of the Calculus of Probability.
“公信力”？去查查 Radon-Nikodym 定理吧。我推荐 Neveu 的《Mathematical Foundations of the Calculus of Probability》。“发牢骚”是对人的侮辱。那篇文章里的“牢骚”是在抱怨他们的论文发不出来。我只是帮他们拉回了正轨。
"Credibility"? Look up the Radon-Nikodym theorem. I suggest Neveu, 'Mathematical Foundations of the Calculus of Probability'. "Rant" is an INSULT. The 'rant' was in the article complaining that they could not get their paper published. I got them back on track.
……这类随机变量的取值，我们能得到一些独立选取的偶数。在优秀的概率论论述中，比如（摘自我的参考文献库，带 TeX 标记）Jacques Neveu 的《Mathematical Foundations of the Calculus of Probability》，Holden-Day, San Francisco，独立性被阐述得非常漂亮，比如甚至能处理包含不可数无穷多个独立随机变量的集合。我记得 Neveu 当年是 Loeve 的学生……
…the values of such random variables, we can get some even integers selected independently. In good treatments of probability, e.g., (from my bibliography file, with TeX markup) Jacques Neveu, {\it Mathematical Foundations of the Calculus of Probability,\/} Holden-Day, San Francisco. independence is very nicely developed, e.g., to handle even a set of uncountably infinitely many independent random variables. As I recall, Neveu was a Loeve student.…
……对数等等。现在我们可以开始搞应用概率和统计了。而且我们从头到尾都没提过频率学派或者贝叶斯学派。想看更多细节、想要优雅的表述，可以看 J. Neveu 的《Mathematical Foundations of the Calculus of Probability》。
…logarithm, etc. Now we are ready to do applied probability and statistics. And we have never mentioned either frequentism or Bayesianism. For more details, in an elegant presentation, see J. Neveu, Mathematical Foundations of the Calculus of Probability.
……Theory, I and II, 第4版，Springer-Verlag, New York。Kai Lai Chung，《A Course in Probability Theory, Second Edition》，ISBN 0-12-174650-X，Academic Press, New York。Jacques Neveu，《Mathematical Foundations of the Calculus of Probability》，Holden-Day, San Francisco。Neveu 的书言简意赅、极其精妙，但不太容易读懂。这部分内容在全美的数学系里可不怎么受待见。在普林斯顿的话，可以看看 Cinlar。然后应该就能有些进展了……
…Theory, I and II, 4th Edition,\/} Springer-Verlag, New York.\ \ Kai Lai Chung, {\it A Course in Probability Theory, Second Edition,\/} ISBN 0-12-174650-X, Academic Press, New York.\ \ Jacques Neveu, {\it Mathematical Foundations of the Calculus of Probability,\/} Holden-Day, San Francisco.\ \ Neveu is succinct, gorgeous, but not easy. This material is NOT popular in US departments of mathematics. At Princeton, see Cinlar. Then should make some progress…
……条件化（即贝叶斯），并由此深入到随机过程、马尔可夫过程和鞅（结论令人震撼）。相关书籍包括 L. Breiman 的《Probability》、K. Chung 的《A Course in Probability Theory》、J. Neveu 的《Mathematical Foundations of the Calculus of Probability》。还有更多。我没记错的话，Breiman 和 Neveu 都是伯克利 M. Loeve 的学生——当然，也可以看 Loeve 分两卷的《Probability》。在这些书里，Neveu 是我的最爱；写得很优雅；但是对于……
…conditioning (i.e., Bayesian) and, from there, in stochastic processes, Markov processes and martingales (astounding results). Books include L. Breiman, Probability, K. Chung, A Course in Probability Theory, J. Neveu, Mathematical Foundations of the Calculus of Probability. And there are more. IIRC Breiman and Neveu were both students of M. Loeve at Berkeley -- sure, can also get Loeve's Probability in two volumes. Of these, Neveu is my favorite; it's elegant; but for…
……在统计学里经常用，但在统计学里并没被严格定义。关于这种独立性，包括不可数无限随机变量集的独立性，在 J. Neveu 的《Mathematical Foundations of the Calculus of Probability》里有非常精炼、优雅且透彻的处理。
…used in statistics, but not defined in statistics. There is a polished, elegant, and thorough treatment of such independence, including of uncountably infinite sets of random variables, in J. Neveu, Mathematical Foundations of the Calculus of Probability.
“公信力”？去查查 Radon-Nikodym 定理吧。我推荐 Neveu 的《Mathematical Foundations of the Calculus of Probability》。“发牢骚”是对人的侮辱。那篇文章里的“牢骚”是在抱怨他们的论文发不出来。我只是帮他们拉回了正轨。
"Credibility"? Look up the Radon-Nikodym theorem. I suggest Neveu, 'Mathematical Foundations of the Calculus of Probability'. "Rant" is an INSULT. The 'rant' was in the article complaining that they could not get their paper published. I got them back on track.
……这类随机变量的取值，我们能得到一些独立选取的偶数。在优秀的概率论论述中，比如（摘自我的参考文献库，带 TeX 标记）Jacques Neveu 的《Mathematical Foundations of the Calculus of Probability》，Holden-Day, San Francisco，独立性被阐述得非常漂亮，比如甚至能处理包含不可数无穷多个独立随机变量的集合。我记得 Neveu 当年是 Loeve 的学生……
…the values of such random variables, we can get some even integers selected independently. In good treatments of probability, e.g., (from my bibliography file, with TeX markup) Jacques Neveu, {\it Mathematical Foundations of the Calculus of Probability,\/} Holden-Day, San Francisco. independence is very nicely developed, e.g., to handle even a set of uncountably infinitely many independent random variables. As I recall, Neveu was a Loeve student.…