On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables
We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and genera...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/251435 |
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| _version_ | 1841524830853136384 |
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| author | Pingyan Chen Xiaofang Ma Soo Hak Sung |
| author_facet | Pingyan Chen Xiaofang Ma Soo Hak Sung |
| author_sort | Pingyan Chen |
| collection | DOAJ |
| description | We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and generalize Li et al. (1995) strong law for weighted sums of i.i.d. random variables. |
| format | Article |
| id | doaj-art-c204eacb02434fea9fbd5d354ce34137 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c204eacb02434fea9fbd5d354ce341372025-02-03T05:47:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/251435251435On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random VariablesPingyan Chen0Xiaofang Ma1Soo Hak Sung2Department of Mathematics, Jinan University, Guangzhou 510630, ChinaDepartment of Statistics, Jinan University, Guangzhou 510630, ChinaDepartment of Applied Mathematics, Pai Chai University, Taejon 302-735, Republic of KoreaWe improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and generalize Li et al. (1995) strong law for weighted sums of i.i.d. random variables.http://dx.doi.org/10.1155/2014/251435 |
| spellingShingle | Pingyan Chen Xiaofang Ma Soo Hak Sung On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables Abstract and Applied Analysis |
| title | On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables |
| title_full | On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables |
| title_fullStr | On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables |
| title_full_unstemmed | On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables |
| title_short | On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables |
| title_sort | on complete convergence and strong law for weighted sums of i i d random variables |
| url | http://dx.doi.org/10.1155/2014/251435 |
| work_keys_str_mv | AT pingyanchen oncompleteconvergenceandstronglawforweightedsumsofiidrandomvariables AT xiaofangma oncompleteconvergenceandstronglawforweightedsumsofiidrandomvariables AT soohaksung oncompleteconvergenceandstronglawforweightedsumsofiidrandomvariables |