On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme

Abstract

We consider the effect of transition of distributions of sums of independent identically distributed non-negative integer-valued random variables from one lattice to another in the framework of the generalised allocation scheme. This research was supported by the grant 4129.2006.1 of State support of leading scientific schools of Russian Federation.

Some limit theorems for generalized allocation schemes

“…Further properties of scheme (1.1) can be found in the papers of V. F. Kolchin and A. V. Kolchin (see e.g. [10,11]). In [5] a strong law of large numbers (SLLN) was proved for Model 1.…”