Linear Fractional Stable Sheets: wavelet expansion and sample path properties

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dc.creatorAyache, Antoine
dc.creatorRoueff, François
dc.creatorXiao, Yimin
dc.date2008-06-10
dc.date.accessioned2026-07-07T12:19:27Z
dc.date.available2026-07-07T12:19:27Z
dc.descriptionIn this paper we give a detailed description of the random wavelet series representation of real-valued linear fractional stable sheet introduced in Ayache, Roueff and Xiao (2007). By using this representation, in the case where the sample paths are continuous, an anisotropic uniform and quasi-optimal modulus of continuity of these paths is obtained as well as an upper bound for their behavior at infinity and around the coordinate axes. The Hausdorff dimensions of the range and graph of these stable random fields are then derived.
dc.identifierhttps://arxiv.org/abs/0806.1725
dc.identifierhttp://arxiv.org/abs/0806.1725
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212761
dc.subjectStatistics Theory
dc.subject60G52, 60G17; 60G60; 42B10; 28A80
dc.titleLinear Fractional Stable Sheets: wavelet expansion and sample path properties
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