کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1157005 | 958911 | 2008 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the estimation of intrinsic volume densities of stationary random closed sets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A new method of estimation of intrinsic volume densities for a stationary random closed set Ξ⊆RdΞ⊆Rd with values in the extended convex ring is introduced. The local Steiner formula is applied to the closure of the complement of the εε-parallel set to ΞΞ for n≥dn≥d different radii and, by solving a linear regression model, estimates of the intrinsic volume densities of the εε-parallel set are obtained, which are used as approximations of the those of ΞΞ itself. The consistency of the estimator as ε→0ε→0 is shown, and the method is tested on simulations of a planar Boolean model of discs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 118, Issue 2, February 2008, Pages 213–231
Journal: Stochastic Processes and their Applications - Volume 118, Issue 2, February 2008, Pages 213–231
نویسندگان
T. Mrkvička, J. Rataj,