2018
Том 70
№ 5

All Issues

Sheludenko A. S.

Articles: 1
Article (Ukrainian)

Limit theorems for the maximum of sums of independent random processes

Matsak I. K., Plichko A. M., Sheludenko A. S.

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 4. - pp. 506-518

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 $.