A strong law of large numbers for random upper semicontinuous functions under exchangeability conditions

作者：Teran P^*

来源：Statistics & Probability Letters, 2003, 65(3): 251-258.

DOI：10.1016/j.spl.2003.08.004

• strong law of large numbers
• random upper semicontinuous function
• exchangeability
• random compact set
• fuzzy random variable

In this paper we prove a strong law of large numbers for random upper semicontinuous functions on a separable Banach space possibly having unbounded support. Convergence is in a topology closely related to the Puri-Ralescu d(infinity) metric. Assumptions on the sequence of random variables are of exchangeability and uncorrelatedness type.

• 出版日期2003-11-15