کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156046 958797 2009 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear fractional stable sheets: Wavelet expansion and sample path properties
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Linear fractional stable sheets: Wavelet expansion and sample path properties
چکیده انگلیسی

In this paper we give a detailed description of the random wavelet series representation of real-valued linear fractional stable sheet introduced in [A. Ayache, F. Roueff, Y. Xiao, Local and asymptotic properties of linear fractional stable sheets, C.R. Acad. Sci. Paris Ser. I. 344 (6) (2007) 389–394]. 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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 119, Issue 4, April 2009, Pages 1168–1197
نویسندگان
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