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The foundations of statistics

Author: Leonard J Savage
Publisher: New York, Dover Publications [1972]
Edition/Format:   Print book : English : 2d rev. edView all editions and formats
Database:WorldCat
Summary:
With the 1954 publication of his Foundations of Statistics, in which he proposed a basis that taken into account not only strictly objective and repetitive events, but also vagueness and interpersonal differences, Leonard J. Savage opened the greatest controversy in modern statistical thought. His theory of the foundations, connected with the personalistic interpretation of probability, challenged the then dominant  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leonard J Savage
ISBN: 0486623491 9780486623498
OCLC Number: 390018
Description: xv, 310 pages illustrations 22 cm
Contents: Introduction --
Preliminary considerations on decision in the face of uncertainty --
Personal probability --
Critical comments on personal probability --
Utility --
Observation --
Partition problems --
Statistics proper --
Introduction to the minimax theory --
A personalistic reinterpretation of the Minimax theory --
The parallelism between the minimax theory and the theory of two-person games --
Mathematics of minimax problems --
Objections to the minimax rules --
The minimax theory applied to observation --
Point estimation --
Testing --
Interval estimation and related topics.
Responsibility: [by] Leonard J. Savage.
More information:

Abstract:

With the 1954 publication of his Foundations of Statistics, in which he proposed a basis that taken into account not only strictly objective and repetitive events, but also vagueness and interpersonal differences, Leonard J. Savage opened the greatest controversy in modern statistical thought. His theory of the foundations, connected with the personalistic interpretation of probability, challenged the then dominant frequentists school. In the first seven chapters of his book, Prof. Savage is concerned with the foundations at a relativitity, the approach to qualitative and quantitative personal probability, the approach to certainty through experience, symmetric sequences of events, critical comments on personal probability, utility, observations as they affect the decision, and partition problems. In chapters eight through seventeen he discusses statistics proper - the actual devices on the discipline - from the personalistic view. He concentrates on minimax problems and on the theories of estimation and testing. Exercises are included throughout to reinforce and supplement the text. Understaning of all the material call for some mathematical maturity on the part of the reader. -- from Back cover.

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