Mirakhmedov, Sh. A. Limit theorems on decomposable statistics in generalized allocation schemes. (English. Russian original) Zbl 0868.60021 Discrete Math. Appl. 6, No. 4, 379-404 (1996); translation from Diskretn. Mat. 8, No. 3, 65-89 (1996). For vectors of independent integer-valued coordinates conditional distributions are investigated. These are related to decomposable statistics in generalized scheme of allocating particles. An analogue of the Cramér-Petrov theorem is proved. Results are illustrated by examples concerning particular allocation schemes. Reviewer: Z.Jurek (Wrocław) Cited in 3 Documents MSC: 60F10 Large deviations Keywords:conditional distribution; large deviations; allocation schemes PDF BibTeX XML Cite \textit{Sh. A. Mirakhmedov}, Discrete Math. Appl. 6, No. 4, 1 (1996; Zbl 0868.60021); translation from Diskretn. Mat. 8, No. 3, 65--89 (1996) Full Text: DOI