کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10526024 958410 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reinforced weak convergence of stochastic processes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Reinforced weak convergence of stochastic processes
چکیده انگلیسی
We consider a sequence of stochastic processes Xn on C[0,1] converging weakly to X and call it polynomially convergent, if EF(Xn)→EF(X) for continuous functionals F of polynomial growth. We present a sufficient moment conditions on Xn for polynomial convergence and provide several examples, e.g. discrete excursions and depth first path associated to Galton-Watson trees. This concept leads to a new approach to moments of functionals of rooted trees such as height and path length.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 71, Issue 3, 1 March 2005, Pages 283-294
نویسندگان
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