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Asymptotic distribution for products of sums under dependence

✍ Scribed by Yun-Xia Li; Jian-Feng Wang

Publisher
Springer
Year
2006
Tongue
English
Weight
182 KB
Volume
66
Category
Article
ISSN
0026-1335

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✍ C. Cooper πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 230 KB πŸ‘ 1 views

We consider sequences of length m of n-tuples each with k nonzero entries chosen randomly from an Abelian group or finite field. For what values of m does there exist a subsequence which is zero-sum or linearly dependent, respectively? We report some results relating to these problems.

Limit distributions for products of sums
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✍ Yongcheng Qi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 126 KB

Let {X; X n ; nΒΏ 1} be a sequence of independent and identically distributed positive random variables and set S n = n j=1 X j for n ΒΏ 1. This paper proves that properly normalized products of the partial sums, ( n j=1 S j =n! n ) =An , converges in distribution to some nondegenerate distribution wh