Limit theorems for the maximum of sums of independent random processes

• Datum: 2018
• Hauptverfasser: Matsak, I. K., Plichko, A. M., Sheludenko, A. S., Мацак, І. К., Плічко, А. М., Шелуденко, А. С.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1572
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 $.