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Teoriya Veroyatnostei i ee Primeneniya, 2009, Volume 54, Issue 1, Pages 97–115
DOI: https://doi.org/10.4213/tvp2548
(Mi tvp2548)
 

This article is cited in 7 scientific papers (total in 7 papers)

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

T. Grbić, E. Pap

University of Novi Sad
Full-text PDF (211 kB) Citations (7)
References:
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.
Received: 08.10.2007
English version:
Theory of Probability and its Applications, 2010, Volume 54, Issue 1, Pages 51–67
DOI: https://doi.org/10.1137/S0040585X97984000
Bibliographic databases:
Document Type: Article
Language: English
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
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  • https://www.mathnet.ru/eng/tvp2548
  • https://doi.org/10.4213/tvp2548
  • https://www.mathnet.ru/eng/tvp/v54/i1/p97
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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    Abstract page:461
    Full-text PDF :364
    References:56
     
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