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On random grouping in goodness of fit tests of discrete distributions
Authors:RJ Kulperger  AC Singh
Institution:Department of Mathematical Sciences, McMaster University, Hamilton, Ontario, Canada L8S 4K1;Department of Mathematics and Statistics, Memorial University, St. John''s, Newfoundland, Canada A1B 3X7
Abstract:We consider the problem of random grouping of data from discrete distributions to form χ2 goodness of fit tests. In general the random partitions need not converge to the partition one gets using the true distribution function and the same partitioning scheme. We present a method of guaranteeing the convergence of the random partition and yielding the usual χ2 asymptotics.
Keywords:62G10  Random partition
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