Limit Theorems for Sums of p-Adic Random Variables

Details Limit Theorems for Sums of p-Adic Random Variables Limit Theorems for Sums of p-Adic Random Variables

1998-02-14

arxiv.org/abs/math/9802068v1

Mathematics

Probability

15 pages, LaTex; E-mail: ank@ank.kiev.ua

Scientific paper

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''.

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