Strong and weak convergence for asymptotically almost negatively associated random variables (Q1956013)
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scientific article; zbMATH DE number 6175056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong and weak convergence for asymptotically almost negatively associated random variables |
scientific article; zbMATH DE number 6175056 |
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Strong and weak convergence for asymptotically almost negatively associated random variables (English)
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13 June 2013
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Summary: The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA) random variables is obtained, which generalizes and improves the corresponding one by \textit{Z. D. Bai} and \textit{P. E. Cheng} [Stat. Probab. Lett. 46, No. 2, 105--112 (2000; Zbl 0960.60026)] for independent and identically distributed random variables. In addition, the Feller-type weak law of large numbers for sequences of AANA random variables is obtained, which generalizes the corresponding one by \textit{W. Feller} [Am. J. Math. 68, 257--262 (1946; Zbl 0060.28704)] for independent and identically distributed random variables.
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asymptotically almost negatively associated random variables
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strong law of large numbers
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Feller-type weak law of large numbers
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0.9771803
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