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Convergence in distribution for randomly stopped random fields
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-2626-5598
2021 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 105, p. 137-149Article in journal (Refereed) Published
Abstract [en]

Let X and Y be two complete, separable, metric spaces, xi(epsilon)(x), x is an element of X and nu(epsilon) be, for every epsilon is an element of[0, 1], respectively, a random field taking values in space Y and a random variable taking values in space X. We present general conditions for convergence in distribution for random variables xi(epsilon)(nu(epsilon)) that is the conditions insuring holding of relation, xi(epsilon)(nu(epsilon)) d ->xi(0)(nu(0)) as epsilon -> 0.

Place, publisher, year, edition, pages
Kyiv: American Mathematical Society (AMS), 2021. Vol. 105, p. 137-149
Keywords [en]
Random field, random stopping, convergence in distribution
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-60275DOI: 10.1090/tpms/1160ISI: 000729866100009Scopus ID: 2-s2.0-85130251621OAI: oai:DiVA.org:mdh-60275DiVA, id: diva2:1704439
Available from: 2022-10-18 Created: 2022-10-18 Last updated: 2022-10-18Bibliographically approved

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Publisher's full textScopushttps://www.ams.org/journals/tpms/2021-105-00/S0094-9000-2021-01160-7/

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Silvestrov, Dmitrii

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