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