Theory of Probability and Mathematical Statistics

Author(s): S. V. Degtyar’
Translated by: O. I. Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 76 (2007).
Journal: Theor. Probability and Math. Statist. No. 76 (2008), 33-40.
MSC (2000): Primary 60K15, 60J25
Posted: July 10, 2008
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Abstract: We extend the fundamental results of the classical renewal theory to the so-called Markov renewal equation. We prove the Markov renewal theorems for the scheme of series.

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Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2000): 60K15, 60J25

S. V. Degtyar’
Affiliation: Department of Higher Mathematics, Vadym Hetman Kyiv National Economic University, Peremogy Avenue, 54/1, Kyiv 03057, Ukraine

DOI: 10.1090/S0094-9000-08-00729-1
PII: S 0094-9000(08)00729-1
Keywords: Markov renewal equation
Received by editor(s): 6/SEP/2005
Posted: July 10, 2008
Copyright of article: Copyright 2008, American Mathematical Society

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ISSN: 1547-7363(e) 0094-9000(p)

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