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We investigate the invariance principle for set-indexed partial sums of a stationary field (X ) d of martingale-di?erence or independent random variables kk-Z under standard normalization or self-norm...
In this paper we survey some recent results on the central limit theorem and its weak invariance principle for stationary sequences. We also describe several maximal inequalities that are the main too...
In this note we prove strong invariance principles between ranked excursion lengths and heights of a simple random walk and those of a standard Brownian motion. Some consequences concerning limiting d...
In this paper we prove maximal inequalities and study the functional central limit theorem for the partial sums of linear processes generated by dependent innovations. Due to the general weights the...

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