Uniform distribution and sum modulo m of independent random variables
β Scribed by Paola Scozzafava
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 159 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0167-7152
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π SIMILAR VOLUMES
The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d
## I. fntFoduction Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,