On Feller's criterion for the law of the iterated logarithm
Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000463 |
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| _version_ | 1832555461660901376 |
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| author | Deli Li M. Bhaskara Rao Xiangchen Wang |
| author_facet | Deli Li M. Bhaskara Rao Xiangchen Wang |
| author_sort | Deli Li |
| collection | DOAJ |
| description | Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with the corresponding results of Teicher (1974), Tomkins (1983) and Tomkins (1990) |
| format | Article |
| id | doaj-art-49dc900e2ca24896b0754f6db9e7e6a1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-49dc900e2ca24896b0754f6db9e7e6a12025-02-03T05:48:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117232334010.1155/S0161171294000463On Feller's criterion for the law of the iterated logarithmDeli Li0M. Bhaskara Rao1Xiangchen Wang2Institute of Mathematics, Jilin University, Changchun 130023, ChinaDepartment of Statistics, North Dakota State University, Fargo, ND 58105, USADepartment of Mathematics, Jilin University, Changchun 130023, ChinaCombining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with the corresponding results of Teicher (1974), Tomkins (1983) and Tomkins (1990)http://dx.doi.org/10.1155/S0161171294000463central limit theoremFeller's criterionlaw of the iterated logarithmnon-uniform estimates in the central limit theorem. |
| spellingShingle | Deli Li M. Bhaskara Rao Xiangchen Wang On Feller's criterion for the law of the iterated logarithm International Journal of Mathematics and Mathematical Sciences central limit theorem Feller's criterion law of the iterated logarithm non-uniform estimates in the central limit theorem. |
| title | On Feller's criterion for the law of the iterated logarithm |
| title_full | On Feller's criterion for the law of the iterated logarithm |
| title_fullStr | On Feller's criterion for the law of the iterated logarithm |
| title_full_unstemmed | On Feller's criterion for the law of the iterated logarithm |
| title_short | On Feller's criterion for the law of the iterated logarithm |
| title_sort | on feller s criterion for the law of the iterated logarithm |
| topic | central limit theorem Feller's criterion law of the iterated logarithm non-uniform estimates in the central limit theorem. |
| url | http://dx.doi.org/10.1155/S0161171294000463 |
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