Convergence rates in the strong laws of asymptotically negatively associated random fields (Q1970739)
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scientific article; zbMATH DE number 1420412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence rates in the strong laws of asymptotically negatively associated random fields |
scientific article; zbMATH DE number 1420412 |
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Convergence rates in the strong laws of asymptotically negatively associated random fields (English)
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2 January 2001
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The authors introduce the definition of asymptotically negative association (\(\rho^-\)-mixing) which is weaker than both the strict negative association and the common \(\rho\)-mixing condition. For such sequences Rosenthal type inequalities are established which are used to prove results on complete convergence and almost sure summability.
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asymptotically negative association
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Rosenthal inequality
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