An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a~semistable law
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 85-88
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In this paper we prove an almost sure limit theorem for random sums of independent random variables in the domain of attraction of a $p$-semistable law and describe the limit law.
Keywords:
almost sure limit theorem, $p$-semistable random variable, domain of attraction of a $p$-semistable law, random sum.
@article{IVM_2009_11_a10,
author = {A. N. Chuprunov and L. P. Terekhova},
title = {An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a~semistable law},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {85--88},
publisher = {mathdoc},
number = {11},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a10/}
}
TY - JOUR AU - A. N. Chuprunov AU - L. P. Terekhova TI - An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a~semistable law JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2009 SP - 85 EP - 88 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2009_11_a10/ LA - ru ID - IVM_2009_11_a10 ER -
%0 Journal Article %A A. N. Chuprunov %A L. P. Terekhova %T An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a~semistable law %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2009 %P 85-88 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2009_11_a10/ %G ru %F IVM_2009_11_a10
A. N. Chuprunov; L. P. Terekhova. An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a~semistable law. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 85-88. http://geodesic.mathdoc.fr/item/IVM_2009_11_a10/