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BIRTH–DEATH CHAINS AND THE LOCAL TIME OF BROWNIAN MOTION

Part of: Markov processes

Published online by Cambridge University Press:  08 December 2011

GREG MARKOWSKY
GREG MARKOWSKY*
Affiliation:
Department of Mathematical Sciences, Monash University, Victoria, 3800, Australia (email: gmarkowsky@gmail.com)
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Abstract

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A connection between Brownian motion and birth–death chains is explored. Several results concerning birth–death chains are shown to be consequences of well-known results on Brownian motion.

Keywords

birth–death chainMarkov chainBrownian motionlocal time

MSC classification

Secondary: 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 3 , June 2012 , pp. 497 - 504
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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[5]Markowsky, G., ‘Applying Brownian motion to the study of birth–death chains’, Statist. Probab. Lett. 81(8) (2011), 1173–1178.CrossRefGoogle Scholar
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