DISTRIBUTIONS OF RANDOM CLOSED SETS VIA CONTAINMENT FUNCTIONALS

作者：Teran Pedro^*

来源：Journal of Nonlinear and Convex Analysis, 2014, 15(5): 907-917.

• Capacity
• containment functional
• random closed set

It is a celebrated result in the theory of random sets that, in a locally compact second countable Hausdorff space, distributions of random closed sets are in one-to-one correspondence with certain capacities. In this paper we generalize the correspondence to locally compact a-compact Hausdorff spaces, showing that second countability is not necessary.

• 出版日期2014