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

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Title: Equivalent conditions on the central limit theorem for a sequence of probability measures on R
Authors: Mikami, Toshio1 Browse this author
Authors(alt): 三上, 敏夫1
Keywords: Central limit theorem
Total variation norm
Issue Date: 16-Mar-1998
Publisher: Elsevier Science B.V.
Journal Title: Statistics & Probability Letters
Volume: 37
Issue: 3
Start Page: 237
End Page: 242
Publisher DOI: 10.1016/S0167-7152(97)00122-3
Abstract: In this paper we give equivalent conditions on the central limit theorem in total variation norm for a sequence of probability measures on R. This generalizes Cacoullos, Papathanasiou and Utev's central limit theorem in L1-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.
Relation: http://www.sciencedirect.com/science/journal/01677152
Type: article (author version)
URI: http://hdl.handle.net/2115/5877
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 三上 敏夫

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