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Limit theorems for sums of random fuzzy sets - MaRDI portal

Limit theorems for sums of random fuzzy sets (Q5945945)

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scientific article; zbMATH DE number 1657956
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Limit theorems for sums of random fuzzy sets
scientific article; zbMATH DE number 1657956

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    Limit theorems for sums of random fuzzy sets (English)
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    10 July 2002
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    Developing the idea of the renewal theorem for Minkowski sums of random closed sets of the reviewer, \textit{E. Omey} and \textit{E. Kozarovitzky} [Adv. Appl. Probab. 27, No.~4, 931-942 (1995; Zbl 0835.60006)], the authors extend it for Minkowski sums of fuzzy random sets (or random upper semicontinuous functions) in a general inner-product space. The authors formulate the results for the set-indexed counting process itself, rather than its expectation as considered in the earlier work.
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    renewal theorem
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    counting process
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    Minkowski sum
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    random sets
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