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On a simple proof of uniformization for continuous and discrete-state continuous-time Markov chains

Published online by Cambridge University Press:  01 July 2016

Nico M. Van dijk
Nico M. Van dijk*
Affiliation:
Free University, Amsterdam
*
∗Postal address: Department of Econometrics, Free University, De Boelelaán 1105, 1081 HV Amsterdam, The Netherlands.
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Abstract

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Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 749 - 750
Copyright
Copyright © Applied Probability Trust 1990 

References

[1] Billingsley, P. (1968) Convergence of Probability Measures. Wiley, New York.Google Scholar
[2] Gihman, I. I. and Skorohod, A. V. (1969) Introduction to the Theory of Random Processes. W. B. Saunders, Philadelphia.Google Scholar
[3] Gihman, I. I. and Skorohod, A. V. (1975) The Theory of Stochastic Processes II. Springer-Verlag, Berlin.Google Scholar
[4] Grassman, W. (1990) Finding transient solutions in Markovian event systems through randomization. Proc. First Internat. Conf. on the Numerical Solution of Markov Chains, January 8–10, Raleigh, North Carolina, 375–385.Google Scholar
[5] Gross, D. and Miller, D. R. (1984) The randomization technique as a modeling tool and solution procedure for transient Markov processes. Operat. Res. 32, 343–361 Google Scholar
[6] Jensen, A. (1953) Markoff chains as an aid in the study of Markoff processes. Skand. Aktuarietidskr. 36, 87–91.Google Scholar
[7] Heidelberger, P. and Goyal, A. (1988) Sensitivity analysis of continuous time Markov chains using uniformization. In Computer Performance and Reliability, ed. Iazeolla, G., Courtois, P. J., and Boxma, O. J., Elsevier North-Holland, Amsterdam, 93–104.Google Scholar
[8] Melamed, B. and Yadin, M. (1984) Randomization procedures in the computation of cumulative-time distributions over discrete state Markov processes. Operat. Res. 32, 926–943.Google Scholar