2026-06-11T00:03:13.257Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:1852 2014-01-24T18:22:50Z 2

Generalization of the Portmanteau theorem with respect to the pseudo-weak convergence of random closed sets 2010 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/1852 http://epubs.siam.org/journal/tprbau T. Grbić E. Pap The main result is a theorem of Portmanteau type for pseudo-weak convergent sequences of capacity functionals for sequence of random closed sets. For that purpose the classical Lebesgue integral had been substituted with more general one, known as general pseudo integral, and there is introduced the pseudo-weak convergence of capacity functionals. Connection between weak convergence of 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. article 54 1 51 67 0040-585X THEORY OF PROBABILITY AND ITS APPLICATIONS