Geodesic
On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 113-127

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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. 
@article{DM_2006_18_4_a10,
     author = {A. V. Kolchin and V. F. Kolchin},
     title = {On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme},
     journal = {Diskretnaya Matematika},
     pages = {113--127},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_4_a10/}
}
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A. V. Kolchin; V. F. Kolchin. On transition of distributions of sums of independent identically distributed random variables from one lattice to another in the generalised allocation scheme. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 113-127. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a10/