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

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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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Probability, 60F05, 60F17, 60G60

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http://salesiana.dossiersoluciones.com/handle/123456789/74108

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502135
 http://arxiv.org/abs/math/0502135

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arXiv