Rates of clustering in the Strassen law for random polygons

A. V. Bulinskii; M. A. Lifshits

doi:10.1007/BF02364812

Rates of clustering in the Strassen law for random polygons

A. V. Bulinskii, M. A. Lifshits

Факультет математико-механический

Research output

1 Citation (Scopus)

Abstract

For a partial-sum process generated by a sequence of i.i.d. random variables with zero mean and unit variance, necessary and sufficient conditions for clustering to the Strassen ball with a given rate are obtained. The answers are different for fast (super-Gaussian) and slow rates.

Original language	English
Pages (from-to)	287-293
Number of pages	7
Journal	Journal of Mathematical Sciences
Volume	93
Issue number	3
DOIs	https://doi.org/10.1007/BF02364812
Publication status	Published - 1 Jan 1999

Scopus subject areas

Statistics and Probability
Mathematics(all)
Applied Mathematics

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