Convergence of distributions of integral functionals of extremal random functions

• Date: 1999
• Main Authors: Matsak, I. K., Мацак, І. К.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4716
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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)),t⃛T, where {X=X(t), t⃛T} is a random process,X n ,n≥1, are independent copies ofX, andZ n (t)=max1≤k≤n X k (t).