Weak laws of large numbers for fuzzy random variables (Q1885693)
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scientific article; zbMATH DE number 2115131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak laws of large numbers for fuzzy random variables |
scientific article; zbMATH DE number 2115131 |
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Weak laws of large numbers for fuzzy random variables (English)
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12 November 2004
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The author presents weak laws of large numbers for sums of convex-compactly uniformly integrable fuzzy random variables taking values in the space of normal and upper-semicontinuous fuzzy sets in \(R^p\) with compact support. The paper is motivated by the work of \textit{R. L. Taylor} [``Stochastic convergence of weighted sums of random elements in linear spaces'' (1978; Zbl 0443.60004), pp. 153--184], which obtained weak laws of large numbers for \(D[0,1]\)-valued random variables. It turns out, that the techniques used there are also useful in fuzzy cases.
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fuzzy random variables
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weak law of large numbers
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