2018
Том 70
№ 11

# Limit theorems for the maximum of sums of independent random processes

Abstract

We study the conditions for the weak convergence of the maximum of sums of independent random processes in the spaces $C[0, 1]$ and $L_p$ and present examples of applications to the analysis of statistics of the type $\omega 2$.

Citation Example: Matsak I. K., Plichko A. M., Sheludenko A. S. Limit theorems for the maximum of sums of independent random processes // Ukr. Mat. Zh. - 2018. - 70, № 4. - pp. 506-518.