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The joint distribution of the running maximum and its location of D-valued Markov processes

Published online by Cambridge University Press:  14 July 2016

Dietmar Ferger*
Affiliation:
Mathematisches Institut, Justus-Liebig-Universität, Arndtstrasse 2, D-35392 Giessen, Germany
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Abstract

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Type
Letters to the Editor
Copyright
Copyright © Applied Probability Trust 1995 

References

Durbin, J. (1985) The first-passage density of a continuous Gaussian process to a general boundary. J. Appl. Prob. 22, 99122.CrossRefGoogle Scholar
Durbin, J. (1992) The first-passage density of the Brownian motion process to a curved boundary. J. Appl. Prob. 29, 291304.CrossRefGoogle Scholar
Feller, W. (1971) An Introduction to Probability Theory and Its Applications, Volume II, 2nd edn. Wiley, New York.Google Scholar
Gihman, I. I. and Shorohod, (1975) The Theory of Stochastic Processes II. Springer, New York.Google Scholar
Shorack, G. R. and Wellner, J. A. (1986) Empirical Processes with Applications to Statistics. Wiley, New York.Google Scholar