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Central limit theorem for quadratic forms for sparse tables

Authors:	Prabir Burman

Affiliation:	Department of Statistics, Rutgers University, New Brunswick, New Jersey 08903 USA

Abstract:	Sufficient conditions for asymptotic normality for quadratic forms in {n_t − np_t} are given, where {n_t} are the observed counts with expected cell means {np_t}. The main result is used to derive asymptotic distributions of many statistics including the Pearson's chi-square.

Keywords:	central limit theorem quadratic forms sparse tables
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