Limit Theorems for Sums of p-Adic Random Variables
概率论
2007-05-23 v1
摘要
We study p-adic counterparts of stable distributions, that is limit distributions for sequences of normalized sums of independent identically distributed p-adic-valued random variables. In contrast to the classical case, non-degenerate limit distributions can be obtained only under certain assumptions on the asymptotic behaviour of the number of summands in the approximating sums. This asymptotics determines the ``exponent of stability''.
引用
@article{arxiv.math/9802068,
title = {Limit Theorems for Sums of p-Adic Random Variables},
author = {Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:math/9802068},
year = {2007}
}
备注
15 pages, LaTex; E-mail: [email protected]