Central limit theorem for quadratic forms for sparse tables |
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| Authors: | Prabir Burman |
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| Institution: | Department of Statistics, Rutgers University, New Brunswick, New Jersey 08903 USA |
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| Abstract: | Sufficient conditions for asymptotic normality for quadratic forms in {nt − npt} are given, where {nt} are the observed counts with expected cell means {npt}. The main result is used to derive asymptotic distributions of many statistics including the Pearson's chi-square. |
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| Keywords: | central limit theorem quadratic forms sparse tables |
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