On the joint distribution of pearson's X2 statistics

@article{Jensen1974OnTJ,
title={On the joint distribution of pearson's X2 statistics},
author={D. R. Jensen},
journal={Scandinavian Actuarial Journal},
year={1974},
volume={1974},
pages={65-75}
}

Abstract Let {X 2 N1, ..., X 2 Nr} be statistics of the type X 2 = Σ({O} − E)2/ E for testing mUltiple hypotheses in a categorical array of N objects. This study is concerned with the large-sample properties of the joint distribution of {X 2 N1, ..., X 2 Nr} when these cannot be assumed to be independent. The limiting form of the joint distribution is given explicitly under quite general conditions for a large class of joint distributions involving Pearson's statistics. In the case of tests for… Expand