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Equivalent conditions on the central limit theorem for a sequence of probability measures on R

โœ Scribed by Toshio Mikami


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
217 KB
Volume
37
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


In this paper we give equivalent conditions on the central limit theorem in total variation norm for a sequence of probability measures on ~. This generalizes Cacoullos, Papathanasiou and Utev's central limit theorem in Lt-norm for a sequence of probability density functions on R. We also give equivalent conditions on the central limit theorem in weak convergence and those on the local limit theorem.


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