Equivalence of complete convergence and law of large numbers for B-valued random elements (Q1976599)
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scientific article; zbMATH DE number 1445766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence of complete convergence and law of large numbers for B-valued random elements |
scientific article; zbMATH DE number 1445766 |
Statements
Equivalence of complete convergence and law of large numbers for B-valued random elements (English)
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20 May 2001
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Complete convergence is studied for Banach space valued independent not identically distributed random elements. The equivalence of complete convergence and law of large numbers is proved under a condition on the tail behaviour of distributions.
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complete convergence
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B-valued random element
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law of large numbers
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