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Strong Poisson and mixed approximations of sums of independent random variables in Banach spaces

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Publication:1920074
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zbMath0848.60009MaRDI QIDQ1920074

I. S. Borisov

Publication date: 28 August 1996

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)


zbMATH Keywords

central limit theoreminvariance principlestrong approximationgeneralized Poisson distributionsums of independent random variables in Banach spaces


Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)


Related Items (7)

Poisson approximation for expectations of unbounded functions of independent random variables ⋮ Compound Poisson approximation ⋮ Poisson approximation of the partial sum process in Banach spaces ⋮ On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ On the accuracy of multivariate compound Poisson approximation. ⋮ On exceedances of high levels ⋮ Multilevel clustering of extremes.







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