On the Convergence in Distribution of Measurable Multifunctions, Normal Integrands, Stochastic Processes and Stochastic Infima

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2048 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2048 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2048 archive 351 disk0/00/00/20/31 2016-01-15 01:51:55 2021-08-27 17:10:57 2016-01-15 01:51:55 monograph show 2 Salinetti G. AL1177 Wets R.J.-B. AL1370 On the Convergence in Distribution of Measurable Multifunctions, Normal Integrands, Stochastic Processes and Stochastic Infima pub iis_met prog_sds The concept of the distribution function of a closed-valued measurable multifunction is introduced and used to study the convergence in distribution of sequences of multifunctions and the epi-convergence in distribution of normal integrands; in particular various compactness criteria are exhibited. The connections with the convergence theory for stochastic processes is analyzed and for purposes of illustration we apply the theory to sketch out a modified derivation of Donsker's Theorem (Brownian motion as a limit of random walks). We also suggest the potential application of the theory to the study of the convergence of stochastic infima. 1982-12 published CP-82-087 CP-82-087 2351 2512 public collaborative_paper IIASA, Laxenburg, Austria 71 FALSE info:eu-repo/semantics/book