Convergence of random sums of indepent identically distributed random elements with values in a Banach space (Q2563474)
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| Language | Label | Description | Also known as |
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| English | Convergence of random sums of indepent identically distributed random elements with values in a Banach space |
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Convergence of random sums of indepent identically distributed random elements with values in a Banach space (English)
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12 December 1996
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The author studies the asymptotic behaviour of a sum of a random number of independent identically distributed random elements with values in a separable Banach space. The sums are normalized and nonrandomly centralized. Necessary and sufficient conditions for the weak convergence of the random sums are obtained.
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separable Banach space
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random element
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random sum
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