On Complete Convergence for Weighted Sums of <inline-formula> <graphic file="1029-242X-2010-372390-i1.gif"/></inline-formula>-Mixing Random Variables
<p/> <p>Some results on complete convergence for weighted sums <inline-formula> <graphic file="1029-242X-2010-372390-i2.gif"/></inline-formula> are presented, where <inline-formula> <graphic file="1029-242X-2010-372390-i3.gif"/></inlin...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/372390 |
| Summary: | <p/> <p>Some results on complete convergence for weighted sums <inline-formula> <graphic file="1029-242X-2010-372390-i2.gif"/></inline-formula> are presented, where <inline-formula> <graphic file="1029-242X-2010-372390-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-372390-i4.gif"/></inline-formula> is a sequence of <inline-formula> <graphic file="1029-242X-2010-372390-i5.gif"/></inline-formula>-mixing random variables and <inline-formula> <graphic file="1029-242X-2010-372390-i6.gif"/></inline-formula> is an array of constants. They generalize the corresponding results for <inline-formula> <graphic file="1029-242X-2010-372390-i7.gif"/></inline-formula> sequence to the case of <inline-formula> <graphic file="1029-242X-2010-372390-i8.gif"/></inline-formula>-mixing sequence.</p> |
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| ISSN: | 1025-5834 1029-242X |