|
|||||
|
|
Central limit theorems for generalized set-valued random variables |
|
| Authors: | Shoumei Li Yukio Ogura Frank N Proske |
| Institution: | a Department of Applied Mathematics, Beijing University of Technology, 100 Ping Le Yuan, Chao Yang District, Beijing 100022, PR China b Department of Mathematics, Saga University, 1 Honjo-Machi, Saga 840-8502, Japan c Department of Mathematics, University of Oslo, N-0316 Oslo, Norway d Department of Mathematics, University of Indiana, Bloomington, IN 47405, USA |
| Abstract: | We give central limit theorems for generalized set-valued random variables whose level sets are compact both in  or in a Banach space under milder conditions than those obtained recently by the latter two authors. |
| Keywords: | Generalized set-valued random variable Central limit theorem Empirical processes Extended Hausdorff metric |
| 本文献已被 ScienceDirect 等数据库收录！ | |