کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154402 958384 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a uniform law of large numbers for random sets and subdifferentials of random functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
On a uniform law of large numbers for random sets and subdifferentials of random functions
چکیده انگلیسی

In this paper, we strengthen the convergence in a uniform law of large numbers for random upper semicontinuous multifunctions of Shapiro and Xu. The proof is based on an abstract law of large numbers in a metric space endowed with a convex combination operation. Convergence in the Hausdorff metric is obtained, whereas the original result presented a weakened form of convergence of excess functionals. As a consequence, another law of large numbers for subdifferentials of random functions is improved as well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 78, Issue 1, January 2008, Pages 42–49
نویسندگان
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