随机集的极限性质

LIMITING BEHAVIOR OF RANDOM SETS

本文研究了Banach空间随机紧集的极限性质.利用嵌入定理,得到了Banach中独立同分布随机紧集的Minkowski和的中偏差原理.

In this paper the limit theories of random impact sets in Banach space are studied. By using imbedding theorem, we prove a limiting theorem for Minkowski sums of i.i.d. random sets in Banach space.