The Annals of Statistics
- Ann. Statist.
- Volume 9, Number 1 (1981), 45-58.
The Role of Exchangeability in Inference
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.
Ann. Statist., Volume 9, Number 1 (1981), 45-58.
First available in Project Euclid: 12 April 2007
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Lindley, D. V.; Novick, Melvin R. The Role of Exchangeability in Inference. Ann. Statist. 9 (1981), no. 1, 45--58. doi:10.1214/aos/1176345331. https://projecteuclid.org/euclid.aos/1176345331