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30 of 35 people found the following review helpful
5.0 out of 5 stars Brilliant exposition of personalist (subjective) probabilty
Savage rigorously reworks the approach of Frank Plumpton Ramsey to give us a personalist (subjectivist) probability construct, and uses this to found a theory of statistics. Even many of us who disagree strongly with Savage are greatly impressed by this remarkable work.
Published on December 16, 1998

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2 of 4 people found the following review helpful
1.0 out of 5 stars Opaque
Opaque and self centered, yet it opened the door for a tremendous amount of good work by subsequent researchers. I've learned a lot more from Savage's descendents than I have from him.
Published 11 months ago by MR GEORGE S YOUNG


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30 of 35 people found the following review helpful
5.0 out of 5 stars Brilliant exposition of personalist (subjective) probabilty, December 16, 1998
By A Customer
This review is from: The Foundations of Statistics (Paperback)
Savage rigorously reworks the approach of Frank Plumpton Ramsey to give us a personalist (subjectivist) probability construct, and uses this to found a theory of statistics. Even many of us who disagree strongly with Savage are greatly impressed by this remarkable work.
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12 of 13 people found the following review helpful
5.0 out of 5 stars Unbelievably Good, March 20, 2009
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Charles Saunders (Tallahassee, FL United States) - See all my reviews
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This review is from: The Foundations of Statistics (Paperback)
One of the earliest books/texts to present the Bayesian paradigm. You need at least three semesters of calculus to do the math - Savage was one of the statisticians who worked on the Manhattan Project and this text is very rigorous.
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2 of 2 people found the following review helpful
4.0 out of 5 stars Packed with Theory, June 20, 2013
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This review is from: The Foundations of Statistics (Paperback)
Very foundational work on decision theory. Be prepared to have your noggin challenged! Make sure you brush up on boolean algebra and calculus. A fundamental understanding of probabilities is needed too.
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4 of 5 people found the following review helpful
5.0 out of 5 stars Difficult and interesting, May 17, 2010
This review is from: The Foundations of Statistics (Paperback)
This is not an easy book, but it is worth reading if you want to get a particular perspective on "the foundations of statistics".
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5.0 out of 5 stars A classic from 1954, February 6, 2014
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This review is from: The Foundations of Statistics (Paperback)
I like this book because it addresses not only the usual "frequentist" approach taught in many undergraduate programs, but also includes "personal" aspects of statistics. This is not a "casual" reading text; it is fairly terse and requires some mathematical sophistication on the part of the reader
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2 of 4 people found the following review helpful
1.0 out of 5 stars Opaque, July 31, 2013
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This review is from: The Foundations of Statistics (Paperback)
Opaque and self centered, yet it opened the door for a tremendous amount of good work by subsequent researchers. I've learned a lot more from Savage's descendents than I have from him.
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0 of 8 people found the following review helpful
5.0 out of 5 stars thanks for the nice book and silver-quick delivery, January 11, 2012
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This review is from: The Foundations of Statistics (Paperback)
Thanks for the nice book and silver-quick delivery. I really appreciate it. I order this book for my first year PhD in economics at Minnesota. Hopefully it is going to be quite useful.
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11 of 48 people found the following review helpful
4.0 out of 5 stars L J Savage was never able to deal technically with ambiguity, November 17, 2004
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Michael Emmett Brady "mandmbrady" (Bellflower, California ,United States) - See all my reviews
This review is from: The Foundations of Statistics (Paperback)
John Maynard Keynes's A Treatise on Probability(1921;TP)was given a five star rating by this reviewer because he dealt clearly and succinctly with what Ellsberg later called "ambiguity".Keynes did not use the terminology of Ellsberg.In the TP Keynes analyzed the problem of ambiguity using the term "weight of the evidence".In the General Theory(GT)Keynes used the term"uncertainty".Keynes defined an index to measure the weight of the evidence,denoted by the variable w.By definition,0<=w<=1(See p.315,TP,chapter 26).Keynes then incorporated w into a decision rule which he called a conventional coefficient of weight and risk c.Given outcome A,the decisionmaker's goal is to maximize cA,as opposed to pA or pU(A),where p equals a probability(p+q=1)and U(A)is a utility function.c=p(1/(1+q)[2w/1+w].Savage did discuss the problem of ambiguity or uncertainty or lack of evidential weight using the term vagueness.Unfortunately,after discussing the problem of vagueness,Savage decided not to deal with this problem technically.Savage's technical analysis of decision making under risk is certainly very interesting.However,his failure to deal with the problem that Keynes had already solved in his TP means that I can only give Savage four stars.
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The Foundations of Statistics
The Foundations of Statistics by Leonard J. Savage (Paperback - June 1, 1972)
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