arXiv (math.PR)
2026-06-15 12:00
DOI:
arXiv:2011.07199
Laws of Large Numbers for Non-Independent Random Variables on Hyperspaces with respect to the Hausdorff Metric
作者:
摘要 / Abstract
arXiv:2011.07199v5 Announce Type: replace
Abstract: This paper investigates the limit behavior of the Minkowski sums for sequences of set-valued random variables. When the underlying space is finite dimensional, by using the support function, we establish the weak and strong laws of large numbers for non-independent random variables in the hyperspace with respect to the Hausdorff metric $d_H$.