Distribution of the occupation time for a Lévy process at passage times at 0
Let be a real-valued Lévy process and the time spent on before time . Suppose that 0 is not polar. We determine the distribution of where is the first return time to 0 in the irregular case, and the inverse local time at 0 in the regular case. This generalizes a recent result of Fitzsimmons and Getoor (1995).
Year of publication: |
1998
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Authors: | Marchal, Philippe |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 74.1998, 1, p. 123-131
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Publisher: |
Elsevier |
Keywords: | Lévy process Occupation time Uniform distribution |
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