Inequalities and strong laws of large numbers for random allocations

被引：7

作者：

Chuprunov, A

Fazekas, I

机构：

[1] Inst Econ Management & Laws, Kazan, Russia

[2] Univ Debrecen, Inst Informat, H-4010 Debrecen, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2005年 / 109卷 / 1-2期

基金：

匈牙利科学研究基金会;

关键词：

random allocation; moment inequality; strong law of large numbers; Borel-Cantelli lemma; binomial coefficient; functional limit theorem;

D O I：

10.1007/s10474-005-0240-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Moment inqualities 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.

引用

页码：163 / 182

页数：20

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