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arXiv · 1208.1487

Demmartingales and the functionnal Hill process for small parameters

Adja Mbarka Fall·Gane Samb Lo·Cheikhna Hamallah Ndiaye
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Abstract

Association of random variables and Demimartingales are recent fields for handling asymptotic behaviors of sums of dependent random variables. We apply their techniques to establish the asymptotic law of a demimartingale We next apply the results to find the asymptotic behavior the functional Hill process for small parameters within the Extreme Value Theory (EVT) field. Such a result would have been very hard to find whithout demimartingales techniques.

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Adja Mbarka Fall, Gane Samb Lo, Cheikhna Hamallah Ndiaye. 2012-08-07. Demmartingales and the functionnal Hill process for small parameters. https://arxiv.org/abs/1208.1487

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