Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of ρ~-Mixing Random Variables
The equivalent conditions of complete convergence are established for weighted sums of ρ~-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large number...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/612140 |
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