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/}
}
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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/