کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10527439 958861 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Distance estimates for dependent superpositions of point processes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Distance estimates for dependent superpositions of point processes
چکیده انگلیسی
In this article, superpositions of possibly dependent point processes on a general space X are considered. Using Stein's method for Poisson process approximation, an estimate is given for the Wasserstein distance d2 between the distribution of such a superposition and an appropriate Poisson process distribution. This estimate is compared to a modern version of Grigelionis' theorem, and to results of Banys [Lecture Notes in Statistics, vol. 2, Springer, New York, 1980, pp. 26-37], Arratia et al. [Ann. Probab. 17 (1989) 9-25] and Barbour et al. [Poisson Approximation, Oxford University Press, Oxford, 1992]. Furthermore, an application to a spatial birth-death model is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 115, Issue 11, November 2005, Pages 1819-1837
نویسندگان
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