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Über Lösungen einer Erneuerungsgleichung. (German) Zbl 0218.60086

MSC:
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
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[1] W. Feller, On the integral equation of renewal theory. Ann. Math. Statist.2 (1941) 243–267. · Zbl 0026.23001 · doi:10.1214/aoms/1177731708
[2] W. Feller, An Introduction to Probability Theory and Its Applications, Bd. 2 John Wiley & Sons, Inc. New York 1966. · Zbl 0138.10207
[3] P. R. Halmos, Measure Theory. D. van Nostrand Company, Inc., Princeton 1956.
[4] S. Karlin, On the renewal equation. Pacific J. Math.5 (1955) 229–257. · Zbl 0067.34902
[5] M. Schäl, Markoffsche Erneuerungsprozesse mit Hilfspfaden. Dissertation Hamburg 1969.
[6] M. Schäl, Rates of convergence in Markov renewal processes with auxiliary paths. Z. Wahrscheinlichkeitstheorie verw. Geb.16, 29–38 (1970). · Zbl 0192.54602 · doi:10.1007/BF00538765
[7] W. L. Smith, Renewal theory and its ramifications. J. R. Statist. Soc.B, 20 (1958) 243–284. · Zbl 0091.30101
[8] W. L. Smith, A theorem of functions of characteristic functions and its application to some renewal theoretic random walk problems. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability Vol. II Part II (1967) 265–309. · Zbl 0209.49301
[9] C. J. Stone, On absolutely continuous components and renewal theory. Ann. Math. Statist.37 (1966) 271–275. · Zbl 0147.16205 · doi:10.1214/aoms/1177699617
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