2019
Том 71
№ 2

# On some limit theorems for the maximum of sums of independent random processes

Matsak I. K.

Abstract

We study conditions of weak convergence of maximum of sums of independent random processes in the space $L_p.$ We present a number of applications to asymptotic analysis of some $\omega^2$-type statistics.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 12, pp 1955-1967.

Citation Example: Matsak I. K. On some limit theorems for the maximum of sums of independent random processes // Ukr. Mat. Zh. - 2008. - 60, № 12. - pp. 1664–1674.

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