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arxiv: 1307.6159 · v2 · pith:RO6KPOSSnew · submitted 2013-07-23 · 🧮 math.PR

From intersection local time to the Rosenblatt process

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keywords processrosenblattdependenceintersectionlocaltimeanalysisapproach
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The Rosenblatt process was obtained by Taqqu (1975) from convergence in distribution of partial sums of strongly dependent random variables. In this paper we give a particle picture approach to the Rosenblatt process with the help of intersection local time and white noise analysis, and discuss measuring its long range dependence by means of a number called dependence exponent.

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