Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables
The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng (2000) for independent and identically distributed random variables to the case of AANA ra...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/235012 |
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| _version_ | 1832547534120157184 |
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| author | Aiting Shen Ranchao Wu |
| author_facet | Aiting Shen Ranchao Wu |
| author_sort | Aiting Shen |
| collection | DOAJ |
| description | The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng (2000) for independent and identically distributed random variables to the case of AANA random variables. In addition, the Feller-type weak law of large number for sequences of AANA random variables is obtained, which generalizes the corresponding one of Feller (1946) for independent and identically distributed random variables. |
| format | Article |
| id | doaj-art-d2af69bdc30342c38031430bc427e7e4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d2af69bdc30342c38031430bc427e7e42025-02-03T06:44:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/235012235012Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random VariablesAiting Shen0Ranchao Wu1School of Mathematical Science, Anhui University, Hefei 230039, ChinaSchool of Mathematical Science, Anhui University, Hefei 230039, ChinaThe strong law of large numbers for sequences of asymptotically almost negatively associated (AANA, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng (2000) for independent and identically distributed random variables to the case of AANA random variables. In addition, the Feller-type weak law of large number for sequences of AANA random variables is obtained, which generalizes the corresponding one of Feller (1946) for independent and identically distributed random variables.http://dx.doi.org/10.1155/2013/235012 |
| spellingShingle | Aiting Shen Ranchao Wu Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables Discrete Dynamics in Nature and Society |
| title | Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables |
| title_full | Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables |
| title_fullStr | Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables |
| title_full_unstemmed | Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables |
| title_short | Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables |
| title_sort | strong and weak convergence for asymptotically almost negatively associated random variables |
| url | http://dx.doi.org/10.1155/2013/235012 |
| work_keys_str_mv | AT aitingshen strongandweakconvergenceforasymptoticallyalmostnegativelyassociatedrandomvariables AT ranchaowu strongandweakconvergenceforasymptoticallyalmostnegativelyassociatedrandomvariables |