Convergence of difference additive functionals under local conditions on their characteristics

For additive functionals defined on a sequence of Markov chains that approximate a Markov process, we establish the convergence of functionals under the condition of local convergence of their characteristics (mathematical expectations).

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Datum:2009
Hauptverfasser: Kartashov, Yu. N., Kulik, A. M., Карташов, Ю. Н., Кулик, А. М.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3093
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:For additive functionals defined on a sequence of Markov chains that approximate a Markov process, we establish the convergence of functionals under the condition of local convergence of their characteristics (mathematical expectations).