Laws of large numbers for ratios of uniform random variables

被引：7
|
作者：
Adler, Andre [1 ]
机构：
[1] IIT, Dept Math, Chicago, IL 60616 USA
来源：
OPEN MATHEMATICS | 2015年 / 13卷
关键词：
Almost sure convergence; Strong law of large numbers; Weak law of large numbers; Slow variation; RANDOM ELEMENTS;
D O I：
10.1515/math-2015-0054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let {X-n, n >= 1} and {Y-n, n >= 1} be two sequences of uniform random variables. We obtain various strong and weak laws of large numbers for the ratio of these two sequences. Even though these are uniform and naturally bounded random variables the ratios are not bounded and have an unusual behaviour creating Exact Strong Laws.
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页码：571 / 576
页数：6
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