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Bayes's Theorem$
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Richard Swinburne

Print publication date: 2005

Print ISBN-13: 9780197263419

Published to British Academy Scholarship Online: January 2012

DOI: 10.5871/bacad/9780197263419.001.0001

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PRINTED FROM BRITISH ACADEMY SCHOLARSHIP ONLINE (www.britishacademy.universitypressscholarship.com). (c) Copyright British Academy, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in BASO for personal use.date: 26 September 2021

Bayesianism in Statistics

Bayesianism in Statistics

(p.39) 3 Bayesianism in Statistics
Bayes's Theorem

Colin Howson

British Academy

This chapter discusses Bayesianism in statistics. The first section of the chapter is devoted to the First Bayesian Theory, which is immediately followed by a discussion of significance tests and the Second Bayesian Theory. Lindley's Paradox and the Neyman-Pearson Theory are examined in detail, along with the concept of priors and likelihood. The final portion of the chapter focuses on the Second Bayesian theory as logic.

Keywords:   Bayesianism, statistics, First Bayesian Theory, significance tests, Second Bayesian Theory, Lindley's Paradox, Neyman-Pearson Theory, priors, likelihood

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