Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

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After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set ...

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables 2010, Springer, Dordrecht

ISBN-13: 9789048161393

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