Invariance principles for standard-normalized and self-normalized random fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74108We investigate the invariance principle for set-indexed partial sums of a stationary field $(X\_{k})\_{k\in\mathbb{Z}^{d}}$ of martingale-difference or independent random variables under standard-normalization or self-normalization respectively.Submitted for publicationProbability60F05, 60F17, 60G60Invariance principles for standard-normalized and self-normalized random fieldstext