Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequ...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Tehran
2007-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdf |
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