φ-divergences and nested models.
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Publication date
1997
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Pergamon-Elsevier Science Ltd
Citation
I. Csiszár, Information type measures of difference of probability distributions and indirect observations, Studia Sci. Mathem. Hungarica 2, 299-318 (1967).
D. Morales, L. Pardo and I. Vajda, Asymptotic divergence of estimates of discrete distributions, J. of Statistical Planning and Inference, (in print) (1995).
Y.M.M. Bishop, S.E. Fienberg and P.W. Holland, Discrete Multivariate Analysis, Theory and Practice, MIT Press, (1975).
Abstract
We consider a wide class of statistics, namely phi-divergences. We obtain asymptotic distributions of these statistics in nested models. Our result generalizes previous results in this field.