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Sbornik: Mathematics, 2006, Volume 197, Issue 3, Pages 369–386
DOI: https://doi.org/10.1070/SM2006v197n03ABEH003762 (Mi sm1538) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The matrix analogue of the Blackwell renewal theorem on the real line

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (290 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/SM2006v197n03ABEH003762
Abstract: The full analogue of Blackwell's theorem is proved for a matrix renewal measure on the whole real line, both in the non-lattice and in the lattice cases. A complete result on a decomposition of Stone type for a matrix renewal measure is obtained. Asymptotic properties of solutions of systems of integral equations of renewal type on the real line are established.
Bibliography: 21 titles.
Received: 22.03.2005
Bibliographic databases:
UDC: 517.962.28
MSC: Primary 60K05; Secondary 45M05
Language: English
Original paper language: Russian
Citation: M. S. Sgibnev, “The matrix analogue of the Blackwell renewal theorem on the real line”, Sb. Math., 197:3 (2006), 369–386
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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