RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 2009, Volume 54, Issue 1, Pages 97–115 (Mi tvp2548)

Generalization of Portmanteau Theorem with Respect to the Pseudoweak Convergence of Random Closed Sets

T. Grbić, E. Pap

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.

Keywords: portmanteau theorem, pseudo-operations, pseudo-integral, random closed set, capacity functional, pseudoweak convergence

DOI: https://doi.org/10.4213/tvp2548

Full text: PDF file (211 kB)
References: PDF file   HTML file

English version:
Theory of Probability and its Applications, 2010, 54:1, 51–67

Bibliographic databases:

Language:

Citation: T. Grbić, E. Pap, “Generalization of Portmanteau Theorem with Respect to the Pseudoweak Convergence of Random Closed Sets”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 97–115; Theory Probab. Appl., 54:1 (2010), 51–67

Citation in format AMSBIB
\Bibitem{GrbPap09} \by T.~Grbi{\'c}, E.~Pap \paper Generalization of Portmanteau Theorem with Respect to the Pseudoweak Convergence of Random Closed Sets \jour Teor. Veroyatnost. i Primenen. \yr 2009 \vol 54 \issue 1 \pages 97--115 \mathnet{http://mi.mathnet.ru/tvp2548} \crossref{https://doi.org/10.4213/tvp2548} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2766649} \zmath{https://zbmath.org/?q=an:05771290} \transl \jour Theory Probab. Appl. \yr 2010 \vol 54 \issue 1 \pages 51--67 \crossref{https://doi.org/10.1137/S0040585X97984000} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000276689500004} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77749314623} 

• http://mi.mathnet.ru/eng/tvp2548
• https://doi.org/10.4213/tvp2548
• http://mi.mathnet.ru/eng/tvp/v54/i1/p97

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Grbic T., Medic S., Durakovic N., Dumnic S., Gavrilov T., “Weak Convergence of Sequences of Distorted Probabilities”, IEEE 13Th International Symposium on Intelligent Systems and Informatics (Sisy), International Symposium on Intelligent Systems and Informatics, IEEE, 2015, 307–312
2. Kawabe J., “Weak Convergence of Nonadditive Measures Based on Nonlinear Integral Functionals”, Fuzzy Sets Syst., 289 (2016), 1–15
3. Durakovic N., Medic S., Grbic T., Perovic A., Nedovic L., “Generalization of Portmanteau Theorem For a Sequence of Interval-Valued Pseudo-Probability Measures”, Fuzzy Sets Syst., 364 (2019), 96–110
•  Number of views: This page: 260 Full text: 61 References: 35