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Uniform laws of large numbers for set-valued mappings and subdifferentials of random functions - MaRDI portal

Uniform laws of large numbers for set-valued mappings and subdifferentials of random functions (Q854012)

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scientific article; zbMATH DE number 5078898
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Uniform laws of large numbers for set-valued mappings and subdifferentials of random functions
scientific article; zbMATH DE number 5078898

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    Uniform laws of large numbers for set-valued mappings and subdifferentials of random functions (English)
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    7 December 2006
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    The authors investigate a uniform (strong) law of large numbers (LLN) for random set-valued mappings. The result can be viewed as an extension both, a uniform LLN for random functions and LLN for random sets. They apply the established results to a consistency analysis of stationary points of sample average approximations of nonsmooth stochastic programs.
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    Random sets
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    uniform LLN
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    sample average approximation
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