Strong convergence properties and strong stability for weighted sums of AANA random variables (Q2015333)
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scientific article; zbMATH DE number 6306628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence properties and strong stability for weighted sums of AANA random variables |
scientific article; zbMATH DE number 6306628 |
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Strong convergence properties and strong stability for weighted sums of AANA random variables (English)
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23 June 2014
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Summary: The Khintchine-Kolmogorov-type convergence theorem and three-series theorem for AANA random variables are established. By using these convergence theorems, we obtain convergence results for AANA sequences, which extend the corresponding ones for independent sequences and NA sequences. In addition, we study the strong stability for weighted sums of AANA random variables and obtain some new results, which extend some earlier ones for NA random variables.
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AANA random variables
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strong convergence
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strong stability
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weighted sums
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0.8321744203567505
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0.8314858078956604
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0.8301227688789368
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0.8245119452476501
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