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A GENERALIZED MEMORYLESS PROPERTY

Published online by Cambridge University Press:  08 June 2012

Offer Kella  and
Andreas Löpker
Offer Kella
Affiliation:
Department of Statistics, The Hebrew University of Jerusalem, Mount Scopus, Jerusalem 91905, Israel E-mail: Offer.Kella@huji.ac.il
Andreas Löpker
Affiliation:
Department of Economics and Social Sciences, Helmut Schmidt University Hamburg, 22043 Hamburg, Germany E-mail: lopker@hsu-hh.de
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Abstract

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We consider a generalized memoryless property which relates to Cantor's second functional equation, study its properties and demonstrate various examples.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 3 , July 2012 , pp. 425 - 436
Copyright
Copyright © Cambridge University Press 2012

References

1.Aczel, J. & Dhombres, J. (1989). Functional equations in several variables. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
2.Boxma, O., Perry, D., Stadje, W., & Zacks, S. (2006). A Markovian growth-collapse model. Advances in Applied Probability, 38(1): 221–243.CrossRefGoogle Scholar
3.Davis, M.H.A. (1993). Markov models and optimization, vol. 49 of Monographs on statistics and applied probability. London: Chapman & Hall.Google Scholar
4.Ethier, S.N. & Kurtz, T.G. (1986). Markov processes. Characterization and convergenceWiley series in probability and mathematical statistics. New York: John Wiley & Sons.CrossRefGoogle Scholar
5.Harrison, J.M. (1985). Brownian motion and stochastic flow systems. Wiley (out of print, can be downloaded from: http://faculty-gsb.stanford.edu/harrison/downloadable_papers.html).Google Scholar
6.Kella, O. & Stadje, W. (2001). On hitting times for compound Poisson dams with exponential jumps and linear release rate. Journal of Applied Probability, 38(3): 781–786.CrossRefGoogle Scholar
7.Kijima, M. (1989). Some results for repairable systems with general repair. Journal of Applied Probability 26: 89–102.CrossRefGoogle Scholar
8.Löpker, A. & Stadje, W. (2011). Hitting times and the running maximum of Markovian growth-collapse processes. Journal of Applied Probability 48(2): 295–312.CrossRefGoogle Scholar
9.Rao, B.R. & Talwalker, S. (1990). Setting the clock back to zero property of a family of life distributions. Journal of Statistical Planning and Inference 24: 347–352.CrossRefGoogle Scholar