Limit theorems for weakly independent random variables in certain Banach spaces (Q1063317)
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scientific article; zbMATH DE number 3915316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit theorems for weakly independent random variables in certain Banach spaces |
scientific article; zbMATH DE number 3915316 |
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Limit theorems for weakly independent random variables in certain Banach spaces (English)
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1984
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Let \(X_ 1,X_ 2,..\). be a sequence of r.v.'s taking values from the Banach space \(\ell^ p\) (1\(\leq p\leq 2)\). Assuming a moment and a mixing condition on \(\{X_ n\}^ a \)strong law of large numbers is proved. Under similar restrictions a central limit theorem is also proved. The m- dependent case is treated in more general Banach spaces.
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strong law of large numbers
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mixing processes
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Banach space valued random variables
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central limit theorem
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