کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154115 958371 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unbounded mappings and weak convergence of measures
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Unbounded mappings and weak convergence of measures
چکیده انگلیسی
Weak convergence of finite Borel measures in a completely regular topological space X is defined by means of the class of bounded and continuous functions f:X→R. We give conditions equivalent to weak convergence of finite measures in terms of some classes of unbounded, continuous and semicontinuous real-valued functions on X. For this purpose we introduce the notion of almost uniformly integrable mappings with respect to a directed family of measures. The obtained results may be treated as an extension of the Alexandroff theorem, also known as portmanteau theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 78, Issue 6, 15 April 2008, Pages 698-706
نویسندگان
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