Convergence of distributions of integral functionals of extremal random functions

  • I. K. Matsak (Київ. нац. ун-т iм. Т. Шевченка)

Abstract

We study the convergence of distributions of integral functionals of random processes of the formU n (t)=b n (Z n (t)-a n G(t)),tT, where {X=X(t), tT} is a random process,X n ,n≥1, are independent copies ofX, andZ n (t)=max1≤k≤n X k (t).
Published
25.09.1999
How to Cite
MatsakI. K. “Convergence of Distributions of Integral Functionals of Extremal Random Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 9, Sept. 1999, pp. 1201–1209, https://umj.imath.kiev.ua/index.php/umj/article/view/4716.
Section
Research articles