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Statistical ThoughtA Perspective and History$
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Shoutir Kishore Chatterjee

Print publication date: 2003

Print ISBN-13: 9780198525318

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198525318.001.0001

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NEW CONCEPTS AND METHODS—PRE-BAYESIAN ERA

NEW CONCEPTS AND METHODS—PRE-BAYESIAN ERA

Chapter:
(p.173) 6 NEW CONCEPTS AND METHODS—PRE-BAYESIAN ERA
Source:
Statistical Thought
Author(s):

Shoutir Kishore Chatterjee

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525318.003.0006

After James Bernoulli, the main contributors to probability theory and its applications in the 18th century worked either to solve more intricate problems of games of chance (De Moivre), or to build new probability models (De Moivre, Daniel Bernoulli). Further, some of them used probabilistic arguments to test hypotheses about or to estimate parameters involved in probability models for real life phenomena in the fields of demography, astronomy, and theory of errors. The concept of continuous variables, the tool of generating functions, the normal model approximation to the binomial, and ‘the rational expectation principle’ (in the context of the St. Petersburg Paradox) emerged out of these studies.

Keywords:   Arbuthnott, testing, De Moivre, generating functions, normal model, Simpson, continuous variables, estimation, Daniel Bernoulli, St. Petersburg Paradox

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