A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities
With the notion of independent identically distributed (i.i.d.) random variables under sublinear expectations initiated by Peng, a strong law of large numbers for weighted sums of i.i.d. random variables under capacities induced by sublinear expectations is obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/412758 |
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| _version_ | 1832563885878542336 |
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| author | Defei Zhang Ping He |
| author_facet | Defei Zhang Ping He |
| author_sort | Defei Zhang |
| collection | DOAJ |
| description | With the notion of independent identically distributed (i.i.d.) random variables under sublinear expectations initiated by Peng, a strong law of large numbers for weighted sums of i.i.d. random variables under capacities induced by sublinear expectations is obtained. |
| format | Article |
| id | doaj-art-fb3235f55c9c41ababebfe83dc65f207 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fb3235f55c9c41ababebfe83dc65f2072025-02-03T01:12:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/412758412758A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under CapacitiesDefei Zhang0Ping He1School of Mathematics, Honghe University, Mengzi 661199, ChinaSchool of Mathematics, Honghe University, Mengzi 661199, ChinaWith the notion of independent identically distributed (i.i.d.) random variables under sublinear expectations initiated by Peng, a strong law of large numbers for weighted sums of i.i.d. random variables under capacities induced by sublinear expectations is obtained.http://dx.doi.org/10.1155/2014/412758 |
| spellingShingle | Defei Zhang Ping He A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities Journal of Applied Mathematics |
| title | A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities |
| title_full | A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities |
| title_fullStr | A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities |
| title_full_unstemmed | A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities |
| title_short | A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities |
| title_sort | strong law of large numbers for weighted sums of i i d random variables under capacities |
| url | http://dx.doi.org/10.1155/2014/412758 |
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