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https://open.uns.ac.rs/handle/123456789/12580
Title: | Generalization of portmanteau theorem with respect to the pseudoweak convergence of random closed sets | Authors: | Grbić, Tatjana Pap E. |
Issue Date: | 15-Mar-2010 | Journal: | Theory of Probability and its Applications | Abstract: | The main result of this paper is a theorem of portmanteau type for pseudoweak convergent sequences of capacity functionals for a sequence of random closed sets. For that purpose the classical Lebesgue integral had been substituted with a more general one, known as general pseudo-integral, and there is introduced the pseudoweak convergence of capacity functionals. A connection between weak convergence of a sequence of probability measures induced by the sequence of random closed sets and convergence of pseudo-integral with respect to the corresponding sequence of capacity functionals is given. © 2010 Society for Industrial and Applied Mathematics. | URI: | https://open.uns.ac.rs/handle/123456789/12580 | ISSN: | 0040585X | DOI: | 10.1137/S0040585X97984000 |
Appears in Collections: | FTN Publikacije/Publications |
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