Invariance principle for independent random variables with infinite variance

Autor: Mindaugas Juodis
Jazyk: English<br />Lithuanian
Rok vydání: 2023
Předmět:
Zdroj: Lietuvos Matematikos Rinkinys, Vol 46, Iss spec. (2023)
Druh dokumentu: article
ISSN: 0132-2818
2335-898X
DOI: 10.15388/LMR.2006.30795
Popis: 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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