کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156849 | 958885 | 2010 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Perfect simulation and moment properties for the Matérn type III process
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In a seminal work, Bertil Matérn introduced several types of processes for modeling repulsive point processes. In this paper an algorithm is presented for the perfect simulation of the Matérn III process within a bounded window in RdRd, fully accounting for edge effects. A simple upper bound on the mean time needed to generate each point is computed when interaction between points is characterized by balls of fixed radius RR. This method is then generalized to handle interactions resulting from use of random grains about each point. This includes the case of random radii as a special case. In each case, the perfect simulation method is shown to be provably fast, making it a useful tool for analysis of such processes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 120, Issue 11, November 2010, Pages 2142–2158
Journal: Stochastic Processes and their Applications - Volume 120, Issue 11, November 2010, Pages 2142–2158
نویسندگان
Jesper Møller, Mark L. Huber, Robert L. Wolpert,