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January, 1981 The Role of Exchangeability in Inference
D. V. Lindley, Melvin R. Novick
Ann. Statist. 9(1): 45-58 (January, 1981). DOI: 10.1214/aos/1176345331

Abstract

This paper is concerned with basic problems of statistical inference. The thesis is in three parts: (1) that inference is a procedure whereby one passes from a population (or sample) to a new individual; (2) that this connection can be established using de Finetti's idea of exchangeability or Fisher's concept of a subpopulation; (3) in making the connection use must be made of the appropriate probability. These three principles are used in a variety of situations and the topics discussed include analysis of variance and covariance, contingency tables, and calibration. Some comments on randomization are also included.

Citation

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D. V. Lindley. Melvin R. Novick. "The Role of Exchangeability in Inference." Ann. Statist. 9 (1) 45 - 58, January, 1981. https://doi.org/10.1214/aos/1176345331

Information

Published: January, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0473.62005
MathSciNet: MR600531
Digital Object Identifier: 10.1214/aos/1176345331

Subjects:
Primary: 62A15
Secondary: 62F15

Keywords: analysis of variance and covariance , Contingency tables , exchangeability , exchangeable populations , Information , Probability , propensity , random quantities , Randomization , regression , Simpson's paradox

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 1 • January, 1981
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