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

Pedro Terán

Statistics & Probability Letters, 2003, vol. 65, issue 3, 251-258

Abstract: 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.

Keywords: Strong; law; of; large; numbers; Random; upper; semicontinuous; function; Exchangeability; Random; compact; set; Fuzzy; random; variable (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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