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Equivalent conditions on the centrallimit theorem for a sequence of probability measures on R
| Title: | Equivalent conditions on the centrallimit theorem for a sequence of probability measures on R |
| Authors: | Mikami, T. Browse this author |
| Issue Date: | 1-Dec-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 363 |
| Start Page: | 1 |
| End Page: | 7 |
| 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69113 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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