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Product details:
- Publisher OUP Oxford
- Date of Publication 8 May 2003
- ISBN 9780198525318
- Binding Hardback
- No. of pages440 pages
- Size 244x165x29 mm
- Weight 757 g
- Language English 0
Categories
Short description:
In this unique monograph, based on years of extensive work, Chatterjee presents the historical evolution of statistical thought from the perspective of various approaches to statistical induction. Developments in statistical concepts and theories are discussed alongside philosophical ideas on the ways we learn from experience.
MoreLong description:
In this unique monograph, based on years of extensive work, Chatterjee presents the historical evolution of statistical thought from the perspective of various approaches to statistical induction. Developments in statistical concepts and theories are discussed alongside philosophical ideas on the ways we learn from experience.
Suitable for researchers, lecturers and students in statistics and the history of science this book is aimed at those who have had some exposure to statistical theory. It is also useful to logicians and philosophers due to the discussion of the problem of statistical induction in a wider philosophical context and the impact of developments of statistics on current thinking
The book is divided into two parts:
Part I (Chapters 1-4) entitled 'Perspective' deals with foundations and structure and Part II (Chapters 5-10), explores the 'History'. In Chapter 1 statistics is characterized as 'prolongation of induction', and its philosophical background is briefly reviewed. The special features of statistical induction, the two roles (as input and output) the theory of probability plays in it, and the different interpretations of probability are discussed in the next two chapters. Chapter 4 distinguishes broadly between four different approaches to statistical induction (behavioural, instantial, pro-subjective Bayesian, and purely subjective) that have been developed by taking different interpretations of probability as input and output, and considers their comparative characteristics, advantages and disadvantages .
Part II traces the historical evolution of statistical thought in the perspective of the framework described in Part I and specifically considers the origin and development of the different concepts of probability and their application to the formulation of the different approaches to statistical induction. After some reference to the prehistory of the subject, the contributions made by the principal contributors in probability and statistics in the 17th-20th centuries are outlined (beginning with Cardano, Pascal, Fermat, Huygens and James Bernoulli and proceeding through Laplace and Gauss to Karl Pearson, Fisher, Neyman, E.S.Pearson,Wald, and their successors). Throughout, the emphasis is on concepts - factual details and technicalities are introduced only if they are unavoidable.
The book seems to be unique of its kind ... a very important book, which should be read and reread several times. Each time the reader may detect new avenues.
Table of Contents:
Perspective
Preface
Philosophical Background
Statistical Induction - When and How?
Interpretation of Probability - Various Nuances
Bearing of Interpretations of Probability on Statistical Induction
History
Pre-history, Beginning of History and the Toddling Period
New Concepts and Methods - Pre-Bayesian Era
Beginning of the Pro-subjective Approach
Pro-subjective Approach Loses as Sampling Theory Gains Ground
Breaking the Barrier: out into a Broader Domain
Modern Era: the Superstructure Builds Up
References
Index
