On the asymptotic normality of trigonometric and related sums of random variables
โ Scribed by Petter Schatte
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 259 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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,
We consider two types of random subgraphs of the n-cube. For these models we study the asymptotic behaviour of the number of vertices of degree d.
Proof. If the Xi are replaced by -Xi, the hn(r) do not be changed. Therefore we can assume a>O. Let H,(z) be the distribution function of the random