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Asymptotics for self-normalized random products of sums of i.i.d. random variables - MaRDI portal

Asymptotics for self-normalized random products of sums of i.i.d. random variables (Q996910)

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scientific article; zbMATH DE number 5173019
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Asymptotics for self-normalized random products of sums of i.i.d. random variables
scientific article; zbMATH DE number 5173019

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    Asymptotics for self-normalized random products of sums of i.i.d. random variables (English)
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    19 July 2007
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    Consider a sequence of i.i.d. random variables in the domain of attraction of the normal law. Then, under mild technical conditions, the self-normalized random product of the partial sums is asymptotically lognormal.
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    self-normalized products
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    domain of attraction of the normal law
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    lognormal distribution
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    i.i.d. random variables
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