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.
Publié le : 1981-01-14
Classification:
Exchangeability,
exchangeable populations,
probability,
propensity,
randomization,
analysis of variance and covariance,
regression,
Simpson's paradox,
contingency tables,
random quantities,
information,
62A15,
62F15
@article{1176345331,
author = {Lindley, D. V. and Novick, Melvin R.},
title = {The Role of Exchangeability in Inference},
journal = {Ann. Statist.},
volume = {9},
number = {1},
year = {1981},
pages = { 45-58},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345331}
}
Lindley, D. V.; Novick, Melvin R. The Role of Exchangeability in Inference. Ann. Statist., Tome 9 (1981) no. 1, pp. 45-58. http://gdmltest.u-ga.fr/item/1176345331/