Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables
The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained....
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/730962 |
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| _version_ | 1849307416108204032 |
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| author | Ming Le Guo |
| author_facet | Ming Le Guo |
| author_sort | Ming Le Guo |
| collection | DOAJ |
| description | The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a φ-mixing random sequence is obtained, which improves the result of Kim et al. (2008). |
| format | Article |
| id | doaj-art-20916125095d47a39ea1908d41976601 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-20916125095d47a39ea1908d419766012025-08-20T03:54:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/730962730962Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random VariablesMing Le Guo0School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, ChinaThe complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a φ-mixing random sequence is obtained, which improves the result of Kim et al. (2008).http://dx.doi.org/10.1155/2012/730962 |
| spellingShingle | Ming Le Guo Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables International Journal of Mathematics and Mathematical Sciences |
| title | Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables |
| title_full | Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables |
| title_fullStr | Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables |
| title_full_unstemmed | Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables |
| title_short | Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables |
| title_sort | complete moment convergence of weighted sums for arrays of rowwise φ mixing random variables |
| url | http://dx.doi.org/10.1155/2012/730962 |
| work_keys_str_mv | AT mingleguo completemomentconvergenceofweightedsumsforarraysofrowwisephmixingrandomvariables |