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Statistical Thought
A Perspective and History
Shoutir Kishore Chatterjee
440 pages
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234x156mm
978-0-19-852531-8
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Hardback
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08 May 2003
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This item is printed to order and supplied on a firm sale basis. Items which are printed to order are normally despatched and charged within 5-10 days.
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- Provides a review of the present state of statistical theory and discusses how this came about from a historical perspective
- Discusses statistical induction in a broad perspective, including the philosophical background
- Each major idea in statistical induction is described in detail, and its ramifications are traced to the present day
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.Readership: Lecturers, researchers and students of statistics, philosophy and logic. Those with an interest in the history and development of statistics.
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Shoutir Kishore Chatterjee, Professor of Statistics, Calcutta University
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"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." - Mathematical Reviews "The book can be recommended to teachers and students who are interested in philosophical principles of statistics and in the history of probability and statistics." - EMS "This monograph can be warmly recommended to advanced research workers, statisticians as well as philosophers interested in statistical induction." - Zentralblatt MATH "There is no doubt that a considerable amount of work has gone into producing this book, and those reading it are likely to find that at least some viewpoints
on statistical inference seem clearer to them." - significance
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Part IPerspective
Preface
1: Philosophical Background
2: Statistical Induction - When and How?
3: Interpretation of Probability - Various Nuances
4: Bearing of Interpretations of Probability on Statistical Induction
Part IIHistory
5: Pre-history, Beginning of History and the Toddling Period
6: New Concepts and Methods - Pre-Bayesian Era
7: Beginning of the Pro-subjective Approach
8: Pro-subjective Approach Loses as Sampling Theory Gains Ground
9: Breaking the Barrier: out into a Broader Domain
10: Modern Era: the Superstructure Builds Up
References
Index
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