On Chung-Teicher type strong law for arrays of vector-valued random variables
We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space ℬ. The conditions under which this equivalence holds are of the Chung or Chung-Teicher types. These conditions are expressed in terms of converg...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204301031 |
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| _version_ | 1832554336061751296 |
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| author | Anna Kuczmaszewska |
| author_facet | Anna Kuczmaszewska |
| author_sort | Anna Kuczmaszewska |
| collection | DOAJ |
| description | We study the equivalence between the weak and strong laws of
large numbers for arrays of row-wise independent random elements
with values in a Banach space ℬ. The conditions
under which this equivalence holds are of the Chung or
Chung-Teicher types. These conditions are expressed in terms of
convergence of specific series and o(1) requirements on
specific weighted row-wise sums. Moreover, there are not any
conditions assumed on the geometry of the underlying Banach space. |
| format | Article |
| id | doaj-art-0a4c834eee86450eb1155ff63d142664 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0a4c834eee86450eb1155ff63d1426642025-02-03T05:51:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004944345810.1155/S0161171204301031On Chung-Teicher type strong law for arrays of vector-valued random variablesAnna Kuczmaszewska0Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38D, Lublin 20-618, PolandWe study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space ℬ. The conditions under which this equivalence holds are of the Chung or Chung-Teicher types. These conditions are expressed in terms of convergence of specific series and o(1) requirements on specific weighted row-wise sums. Moreover, there are not any conditions assumed on the geometry of the underlying Banach space.http://dx.doi.org/10.1155/S0161171204301031 |
| spellingShingle | Anna Kuczmaszewska On Chung-Teicher type strong law for arrays of vector-valued random variables International Journal of Mathematics and Mathematical Sciences |
| title | On Chung-Teicher type strong law for arrays of vector-valued random variables |
| title_full | On Chung-Teicher type strong law for arrays of vector-valued random variables |
| title_fullStr | On Chung-Teicher type strong law for arrays of vector-valued random variables |
| title_full_unstemmed | On Chung-Teicher type strong law for arrays of vector-valued random variables |
| title_short | On Chung-Teicher type strong law for arrays of vector-valued random variables |
| title_sort | on chung teicher type strong law for arrays of vector valued random variables |
| url | http://dx.doi.org/10.1155/S0161171204301031 |
| work_keys_str_mv | AT annakuczmaszewska onchungteichertypestronglawforarraysofvectorvaluedrandomvariables |