On the limit distribution of the extremes of a random number of independent random variables
β Scribed by H.M. Barakat; M.A. El-Shandidy
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 426 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
π 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,
Let (Y(G~,~) denote the independence number of the random graph Gn,p. Let d = np. We show that if E > 0 is fixed then with probability going to 1 as n + m cu(G& -$t (log d -log log dlog 2 + 1) < 7 provided d, s d = o(n), where d, is some fixed constant.