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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On a uniform law of large numbers for random sets and subdifferentials of random functions On a uniform law of large numbers for random sets and subdifferentials of random functions](/preview/png/1154402.png)
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
Journal: Statistics & Probability Letters - Volume 78, Issue 1, January 2008, Pages 42–49
نویسندگان
Pedro Terán,