Chuprunov, A.; Fazekas, I. Inequalities and strong laws of large numbers for random allocations. (English) Zbl 1120.60300 Acta Math. Hung. 109, No. 1-2, 163-182 (2005). Summary: Moment inequalities and strong laws of large numbers are proved for random allocations of balls into boxes. Random broken lines and random step lines are constructed using partial sums of i.i.d. random variables that are modified by random allocations. Functional limit theorems for such random processes are obtained. Cited in 2 Documents MSC: 60C05 Combinatorial probability 60F05 Central limit and other weak theorems 60F17 Functional limit theorems; invariance principles Keywords:random allocation; moment inequality; strong law of large numbers; Borel-Cantelli lemma; binomial coefficient; functional limit theorem PDFBibTeX XMLCite \textit{A. Chuprunov} and \textit{I. Fazekas}, Acta Math. Hung. 109, No. 1--2, 163--182 (2005; Zbl 1120.60300) Full Text: DOI