Invariance principle for independent random variables with infinite variance

A functional central limit theorem for self-normalized adaptive process U−1m,N ζn is considered, where Um,N is a sum of squares of block-sums of size m, as m and the number of blocks N = n/m tend to infinity.

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Bibliographic Details
Main Author: Mindaugas Juodis
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30795
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