Unified Large-Sample Theory of General Chi-Squared Statistics for Tests of Fit
Open Access
- 1 May 1975
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 3 (3) , 599-616
- https://doi.org/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.Keywords
This publication has 0 references indexed in Scilit: