|edoc-Server der Humboldt-Universität zu Berlin|
Lisa A. Korf, University of Washington, Seattle|
Roger J.-B. Wets, University of California, Davis
|Title:||Random lsc functions – An ergodic theorem|
|Date of Acceptance:||07.02.2000|
Stochastic Programming E-Print Series |
|Editors:||Julie L. Higle; Werner Römisch; Surrajeet Sen|
|Keywords (eng):||epi-convergence, stochastic programming, stochastic optimization, Stationary processes, ergodic theorem, Kolmogorov's extension theorem, Bayesian decision theory, composite materials, random lower semicontinuous functions, random samples|
Mathematics of Operations Research 2 (Vol. 26, 2001)
Institute for Operations Research and the Management Sciences (Linthicum, Md.)
|Metadata export: To export the complete metadata set as Endote or Bibtex format please click to the appropriate link.||Endnote Bibtex|
|An ergodic theorem for random lsc functions is obtained by relying on a (novel) 'scalarization' of such functions. In the process, Kolmogorov's extension theorem for randon lsc functions is established. Applications to statistical estimation problems, composite materials and stochastic optimization problems are briefly noted.|
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