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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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STATISTICAL INDUCTION—WHEN AND HOW?

STATISTICAL INDUCTION—WHEN AND HOW?

Chapter:
(p.16) 2 STATISTICAL INDUCTION—WHEN AND HOW?
Source:
Statistical Thought
Author(s):

Shoutir Kishore Chatterjee

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525318.003.0002

In statistical induction, the evidence is represented by observations on characters with definite domains but uncertain potential values. In the objective approach, the observational procedure is conceptually repeatable and the uncertainty about the potential observations is expressible in terms of an objective or frequency probability model, which generally involves some unknown parameters representing our inductive concern. Idea about the trustworthiness of the conclusion is given in terms of objective or subjective probability, depending on the nature of the parameters assumed. In the subjective approach, the observations may be non-repeatable and the uncertainty about them is expressed in terms of a fully known subjective probability model; future observations constitute our inductive concern. Uncertainty about the conclusion is always expressed subjectively. Often, there is scope for designing the observational procedure in both the approaches.

Keywords:   objective approach, repeatable observations, frequency probability model, unknown parameters, subjective approach, belief probability model, future observations, observational procedure

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