The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of pro...
The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
The writer has learned from much experience that this primary emphasis on the logic of the problem, rather than the mathematics, is necessary in the early stages. For modern students, the mathematics is the easy part; once a problem has been reduced to a definite mathematical exercise, most students can solve it effortlessly and extend it endlessly, without further help from any book or teacher. It is in the conceptual matters (how to make the initial connection between the real-world problem and the abstract mathematics) that they are perplexed and unsure how to proceed. (查看原文)
作者在这本书里面把概率当作推广的逻辑推理，认为概率是我们对于事件的 state of knowledge 的表示，而不是像 frequentist 一样认为概率是幻想中的长期实验的计数结果。当我们的 state of knowledge 改变时（比如说 background information 变化了），probability assignment ...
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Absolutely stunning work with fantastic ideas presented, even though I couldn’t understand most of them. I got a very weird feeling when reading the book: intellectually challenged (even humiliated) while mentally satisfying ( even breathtaking).
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霹雳大叔
人民邮电出版社2024版
qwertyuiop123
溥渊
eigenstate
人民邮电出版社2024版
1 有用 outeru 2018-12-01 17:41:31
经典
17 有用 beren 2016-10-11 22:50:08
很有G.Polya的风范，序言里提到，这是一本没有完成作者就已经去世的书，去世前作者拜托编辑帮他出版，尽管如此，这依然是我今年读到的书里分量最重也是读得最细的一本，读完仍然觉得值得一读再读。虽然总体是关于Bayesian统计的，里面可以读到的东西却很多，关于数学，量子物理都有涉及，讲得也比较本源。感觉对于频率学派的批判这本书里见到的是最多的，也是最详细最系统的，比如关于p值完全不靠谱的论述和各种悖... 很有G.Polya的风范，序言里提到，这是一本没有完成作者就已经去世的书，去世前作者拜托编辑帮他出版，尽管如此，这依然是我今年读到的书里分量最重也是读得最细的一本，读完仍然觉得值得一读再读。虽然总体是关于Bayesian统计的，里面可以读到的东西却很多，关于数学，量子物理都有涉及，讲得也比较本源。感觉对于频率学派的批判这本书里见到的是最多的，也是最详细最系统的，比如关于p值完全不靠谱的论述和各种悖论读起来都让人兴奋，即使忽略里面的公式，读起来也依然十分精彩！ (展开)
2 有用 revv 2012-05-24 20:32:17
把艰深难懂的理论说的娓娓道来，非常推荐。
5 有用 夢の點滴 2010-08-20 16:08:46
這書太過給力..結果剛到第四章就看不進去了..(。_。)
5 有用 飒 2021-12-10 14:28:11
感觉老爷子掏心窝子传你毕生所学，highlight：前两章的概率体系，高斯分布，先验概率，paradox，以及怒斥fisher的部分，剩下没提到的大概就没怎么看懂