One-sided limit theorems for sums of multidimensional indexed random variables (Q1200246)
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scientific article; zbMATH DE number 96938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-sided limit theorems for sums of multidimensional indexed random variables |
scientific article; zbMATH DE number 96938 |
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One-sided limit theorems for sums of multidimensional indexed random variables (English)
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17 January 1993
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Let \(\{X_ n, n\in Z^ d_ +\}\) be independent random elements in a Rademacher type \(p\) space and \(\{a_ n, n\in Z^ d_ +\}\) be a sequence of constants. The author proves the general weak law of large numbers and generalized laws of the iterated logarithm for weighted partial sums of the form \(\sum_{| n|\leq N}a_ nX_ n\).
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almost sure convergence
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slow variations
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weak law of large numbers
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iterated logarithm for weighted partial sums
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0.9305016
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0.9278365
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0.92104745
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0.91084886
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0.90921474
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