کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7496706 | 1485793 | 2013 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A completely random T-tessellation model and Gibbsian extensions
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موضوعات مرتبط
مهندسی و علوم پایه
علوم زمین و سیارات
علوم زمین و سیاره ای (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A completely random T-tessellation model and Gibbsian extensions A completely random T-tessellation model and Gibbsian extensions](/preview/png/7496706.png)
چکیده انگلیسی
In their 1993 paper, Arak, Clifford and Surgailis discussed a new model of random planar graph. As a particular case, that model yields tessellations with only T-vertices (T-tessellations). Using a similar approach involving Poisson lines, a new model of random T-tessellations is proposed. Campbell measures, Papangelou kernels and formulae of Georgii-Nguyen-Zessin type are translated from point process theory to random T-tessellations. It is shown that the new model shows properties similar to the Poisson point process and can therefore be considered as a completely random T-tessellation. Gibbs variants are introduced leading to models of random T-tessellations where selected features are controlled. Gibbs random T-tessellations are expected to better represent observed tessellations. As numerical experiments are a key tool for investigating Gibbs models, we derive a simulation algorithm of the Metropolis-Hastings-Green family.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Spatial Statistics - Volume 6, November 2013, Pages 118-138
Journal: Spatial Statistics - Volume 6, November 2013, Pages 118-138
نویسندگان
Kiên Kiêu, Katarzyna Adamczyk-Chauvat, Hervé Monod, Radu S. Stoica,