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Limit theorems for distributions of sums reduced modulo a

✍ Scribed by Horand Störmer


Book ID
107950253
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
238 KB
Volume
22
Category
Article
ISSN
0304-4149

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Limit distributions for products of sums
✍ Yongcheng Qi 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 126 KB

Let {X; X n ; n¿ 1} be a sequence of independent and identically distributed positive random variables and set S n = n j=1 X j for n ¿ 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