کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527352 | 958835 | 2005 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Joint estimators for the specific intrinsic volumes of stationary random sets
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کلمات کلیدی
60D0560G6062G20Nonparametric estimation - برآورد غیر پارامتریUnbiasedness - بی اختیارConsistency - ثباتSpecific surface area - سطح خاصRandom closed set - مجموعه بسته تصادفیAsymptotic normality - نرمال مجانبی بودن یا بهنجاری مجانبیStochastic geometry - هندسه تصادفیEuler–Poincaré characteristic - ویژگی اویلر پوانکارهVolume fraction - کسری حجم
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Joint estimators for the specific intrinsic volumes of stationary random sets Joint estimators for the specific intrinsic volumes of stationary random sets](/preview/png/10527352.png)
چکیده انگلیسی
Stationary random closed sets Î in Rd are considered whose realizations belong to the extended convex ring. A new approach is proposed to joint estimation of the specific intrinsic volumes V¯0(Î),â¦,V¯d(Î) of Î, including the specific Euler-Poincaré characteristic V¯0(Î), the specific surface area 2V¯d-1(Î), and the volume fraction V¯d(Î) of Î. Nonparametric estimators are constructed, which can be represented by integrals of some stationary random fields. This implies in particular that these estimators are unbiased. Moreover, conditions are derived which ensure that they are mean-square consistent. A consistent estimator for their asymptotic covariance matrix is derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 115, Issue 6, June 2005, Pages 959-981
Journal: Stochastic Processes and their Applications - Volume 115, Issue 6, June 2005, Pages 959-981
نویسندگان
Volker Schmidt, Evgueni Spodarev,