Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 57-66
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A. V. Bulinski; M. A. Lifshits. Rates of clustering in Strassen's law for random polygons. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 57-66. http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a5/
@article{ZNSL_1996_228_a5,
author = {A. V. Bulinski and M. A. Lifshits},
title = {Rates of clustering in {Strassen's} law for random polygons},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {57--66},
year = {1996},
volume = {228},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a5/}
}
TY - JOUR
AU - A. V. Bulinski
AU - M. A. Lifshits
TI - Rates of clustering in Strassen's law for random polygons
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 57
EP - 66
VL - 228
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a5/
LA - ru
ID - ZNSL_1996_228_a5
ER -
%0 Journal Article
%A A. V. Bulinski
%A M. A. Lifshits
%T Rates of clustering in Strassen's law for random polygons
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 57-66
%V 228
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a5/
%G ru
%F ZNSL_1996_228_a5
For partial-sum process generated by a sequence of i.i.d. random variables with mean zero and unit variance necessary and sufficient conditions are obtained for clustering to the Strassen ball with given rate. The answer differs for fast (super-Gaussian) and slow rates. Bibl. 16 titles.
