کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148500 1489767 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Covariance of empirical functionals for inhomogeneous spatial point processes when the intensity has a parametric form
ترجمه فارسی عنوان
کوواریانس کارکردهای تجربی برای فرآیند نقطه فضایی غیرمستقیم زمانی که شدت یک فرم پارامتری دارد
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی


• We estimate the covariance of functionals of inhomogeneous spatial point processes.
• We prove that the kernel-based estimator is consistent and we obtain the optimal asymptotic rate.
• The proposed estimator shows good performance in a simulation study.
• The method is computationally cheaper and less time consuming than existing ones.

This paper is concerned with the problem of estimating covariances of inhomogeneous second-order reweighted stationary spatial point processes when the intensity of the spatial point process has a parametric form. The proposed estimator is based on kernel techniques. It is a very simple and fast estimator which in addition does not require one to model second and higher moments of the spatial point process. Under very mild assumptions, mainly on characteristics of the point process, we prove the mean squared consistency of our estimator. Finally, we show in a simulation study that the kernel-based covariance estimator outperforms existing methods when it is applied to build confidence intervals of the intensity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 155, December 2014, Pages 79–92
نویسندگان
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