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May, 1975 Unified Large-Sample Theory of General Chi-Squared Statistics for Tests of Fit
David S. Moore, M. C. Spruill
Ann. Statist. 3(3): 599-616 (May, 1975). DOI: 10.1214/aos/1176343125

Abstract

We present a unified large-sample theory of general chi-squared tests of fit under composite null hypotheses and Pitman alternatives. The statistics are quadratic forms in the standardized cell frequencies, and we allow random cells, $k$-variate observations from not necessarily continuous distributions, and quite general estimates of unknown parameters. Generalizations of published results on a number of specific chi-squared tests follow.

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David S. Moore. M. C. Spruill. "Unified Large-Sample Theory of General Chi-Squared Statistics for Tests of Fit." Ann. Statist. 3 (3) 599 - 616, May, 1975. https://doi.org/10.1214/aos/1176343125

Information

Published: May, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0322.62047
MathSciNet: MR375569
Digital Object Identifier: 10.1214/aos/1176343125

Subjects:
Primary: 62E20
Secondary: 62G10

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 3 • May, 1975
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