Equivalent conditions on the central limit theorem for a sequence of probability measures on R
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概要
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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.
- Elsevier Science B.V.の論文
- 1998-03-16
Elsevier Science B.V. | 論文
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