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

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

2005-02-07

arxiv.org/abs/math/0502135v1

Mathematics

Probability

Submitted for publication

Scientific paper

We 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.

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