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2000 | OriginalPaper | Chapter

An Ergodic Theorem for Stochastic Programming Problems

Authors : Lisa A. Korf, Roger J-B Wets

Published in: Optimization

Publisher: Springer Berlin Heidelberg

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To justify the use of sampling to solve stochastic programming problems one usually relies on a law of large numbers for random lsc (lower semicontinuous) functions when the samples come from independent, identical experiments. If the samples come from a stationary process, one can appeal to the ergodic theorem proved here. The proof relies on the ‘scalarization’ of random lsc functions.

Metadata
Title
An Ergodic Theorem for Stochastic Programming Problems
Authors
Lisa A. Korf
Roger J-B Wets
Copyright Year
2000
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-57014-8_14

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