On conditions for the strong law of large numbers in general Banach spaces
We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002945 |
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| _version_ | 1832567628381552640 |
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| author | Anna Kuczmaszewska Dominik Szynal |
| author_facet | Anna Kuczmaszewska Dominik Szynal |
| author_sort | Anna Kuczmaszewska |
| collection | DOAJ |
| description | We give Chung-Teicher type conditions for the SLLN in general
Banach spaces under the assumption that the weak law of large
numbers holds. An example is provided showing that these conditions
can hold when some earlier known conditions fail. |
| format | Article |
| id | doaj-art-fad9a1e816b84833947d3a6a958f8a55 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fad9a1e816b84833947d3a6a958f8a552025-02-03T01:01:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241294210.1155/S0161171200002945On conditions for the strong law of large numbers in general Banach spacesAnna Kuczmaszewska0Dominik Szynal1Technical University of Lublin, Department of Applied Mathematics, Bernardyńska 13, Lublin 20-950, PolandDepartment of Mathematics, Maria Curie-Skłodowska University, Pl. M. Curie-Skłodowskiej 1, Lublin 20-031, PolandWe give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.http://dx.doi.org/10.1155/S0161171200002945Random elementBanach spacesweak law of large numbersstrong law of large numbers. |
| spellingShingle | Anna Kuczmaszewska Dominik Szynal On conditions for the strong law of large numbers in general Banach spaces International Journal of Mathematics and Mathematical Sciences Random element Banach spaces weak law of large numbers strong law of large numbers. |
| title | On conditions for the strong law of large numbers in general Banach spaces |
| title_full | On conditions for the strong law of large numbers in general Banach spaces |
| title_fullStr | On conditions for the strong law of large numbers in general Banach spaces |
| title_full_unstemmed | On conditions for the strong law of large numbers in general Banach spaces |
| title_short | On conditions for the strong law of large numbers in general Banach spaces |
| title_sort | on conditions for the strong law of large numbers in general banach spaces |
| topic | Random element Banach spaces weak law of large numbers strong law of large numbers. |
| url | http://dx.doi.org/10.1155/S0161171200002945 |
| work_keys_str_mv | AT annakuczmaszewska onconditionsforthestronglawoflargenumbersingeneralbanachspaces AT dominikszynal onconditionsforthestronglawoflargenumbersingeneralbanachspaces |