2019
Том 71
№ 9

All Issues

Convergence of distributions of integral functionals of extremal random functions

Matsak I. K.

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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).

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1352-1361.

Citation Example: Matsak I. K. Convergence of distributions of integral functionals of extremal random functions // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1201–1209.

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