Get Free Ebook Probability Theory: The Logic of Science
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Probability Theory: The Logic of Science
Get Free Ebook Probability Theory: The Logic of Science
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Review
"...tantalizing ideas...one of the most useful and least familiar applications of Bayesian theory...Probability Theory [is] considerably more entertaining reading than the average statistics textbook...the conceptual points that underlie his attacks are often right on." Science"This is a work written by a scientist for scientists. As such it is to be welcomed. The reader will certainly find things with which he disagrees, but he will also find much that will cause him to think deeply not only on his usual practice by also on statistics and probability in general. Probability Theory: the Logic of Science is, for both statisticians and scientists, more than just 'recommended reading': it should be prescribed." Mathematical Reviews"...the rewards of reading Probability Theory can be immense." Physics Today, Ralph Baierlein“This is not an ordinary text. It is an unabashed, hard sell of the Bayesian approach to statistics. It is wonderfully down to earth, with hundreds of telling examples. Everyone who is interested in the problems or applications of statistics should have a serious look.” SIAM News"[T]he author thinks for himself...and writes in a lively way about all sorts of things. It is worth dipping into it if only for vivid expressions of opinion...There are many books on Bayesian statistics, but few with this much color." Notices of the AMS
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Book Description
Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.
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Product details
Hardcover: 753 pages
Publisher: Cambridge University Press; 1 edition (June 9, 2003)
Language: English
ISBN-10: 0521592712
ISBN-13: 978-0521592710
Product Dimensions:
7.1 x 1.5 x 10.1 inches
Shipping Weight: 3.5 pounds
Average Customer Review:
4.4 out of 5 stars
43 customer reviews
Amazon Best Sellers Rank:
#120,196 in Books (See Top 100 in Books)
A good book, but an extremely poor kindle implementation. The equations seem quite readable in the sample (because we checked before buying), but in the actual book, they are in tiny type and are pretty much unusable. There’s $50 wasted. So very sorry to report this, because it would have been so convenient to have an electronic version to carry when traveling.
One of the most important works of the 20th century (or any century) in both philosophy and physics, Jaynes' work lays the foundation for the physical ontology and epistemology of science. This book is the completion of what amounted to a lifetime of effort on Jaynes' part, dating back to the "Mobil Lectures" where he first laid out this approach to knowledge. It follows the world of Richard Cox, who demonstrated that Bayesian probability theory naturally follows from three simple axioms that also serve to establish the connection between evidence and plausible belief.In my opinion, this book is a required read for anyone who wishes to understand precisely how the scientific worldview is, in a mathematically defensible sense, the best possible worldview, the one that lets us optimally use evidence to develop an interlocked Bayesian network of evidence supported beliefs that can change and evolve as the evidence is accumulated. It also shows the critical connections between physics and statistical mechanics and Shannon's theorem in computational information theory, laying the foundation for a fair bit of modern physics as it demonstrates that physical entropy and information entropy are very much one and the same thing, from a certain point of view.
This is a classic - perhaps THE classic exposition of Bayesian statistics for physical scientists. Among other things, Jaynes strove to rediscover and rehabilitate Sir Harold Jeffreys, the geophysicist whose attempts to resurrect Laplacian/Bayesian statistics fell afoul of his fellow Cambridge professor, Sir Ronald Fisher, whose works (including Design of Experiments) were among the most influential of twentieth century statistics. Jaynes's own formidable achievements in adapting Bayesian statistics to physics and chemistry are legendary. There is also some amusing byplay in the form of a running critique (often confined to footnotes) of "Willy" Feller, the Princeton mathematician who authored a major textbook on probability theory.
I haven't finished reading this book yet, but the chapters I read so far gave me so much understanding of issues that are either obscure or absent in other probability and statistics books - but are of great practical importance - that I decided recommend it here.It is true Jaynes' style is caustic against positions that are contrary to his owns. But he is very convincing on the reasons he gives to pinpoint the big holes in the so called "orthodox" school of probability and statistics.Besides, the book is very lengthy, without being prolix, on its explanations, making it very pedagogical. Constrasting with that, nevertheless, Jaynes sometimes proposes examples that I believe only a mathematician or physicist with specific knowledge of the subject mentioned by the author will be able to follow. But those parts do not impact understanding of the main ideas.It must be noted also that "Probaility theory: the logic of science" is mainly a theory book. Its goal is to present probability as an extension of deductive logic. It only brings a small number of exercises.The best thing about this book, at least for me, is having a style that really makes me look forward reading the next page, something very rare for a technical book. In fact, the only other book I came across that had that virtue was the "Feynman Lectures on Physics".
I really think everyone should read this book, and R. T. Cox's book. This books make plain the philosophical and mathematical reasons that all statistics should be Bayesian. It only looses a star, because the book is not complete. Jaynes died before he could finish it. One of his students prepared the book for publication. I wish he had finished it while he was at it.
A classic
The equations are almost unreadable on Kindle Oasis (even with 7 inches screen). They look perfect (larger and centered) on my ancient low res Kindle Keyboard (800x600).Compare the screenshots taken from the two Kindles.
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