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Regenerative Systems on the Real Line

H. Kaspi and B. Maisonneuve
The Annals of Probability
Vol. 16, No. 3 (Jul., 1988), pp. 1306-1332
Stable URL: http://www.jstor.org/stable/2244125
Page Count: 27
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Regenerative Systems on the Real Line
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Abstract

We consider regenerative systems on the real line and study their structure. Local times and exit systems are defined. This leads to time changes and last exit decompositions. We establish a correspondence between stationary regenerative systems and Markov additive processes which are stationary in the space component.

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