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March 2006 A characterization of the infinitely divisible squared Gaussian processes
Nathalie Eisenbaum, Haya Kaspi
Ann. Probab. 34(2): 728-742 (March 2006). DOI: 10.1214/009117905000000684

Abstract

We show that, up to multiplication by constants, a Gaussian process has an infinitely divisible square if and only if its covariance is the Green function of a transient Markov process.

Citation

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Nathalie Eisenbaum. Haya Kaspi. "A characterization of the infinitely divisible squared Gaussian processes." Ann. Probab. 34 (2) 728 - 742, March 2006. https://doi.org/10.1214/009117905000000684

Information

Published: March 2006
First available in Project Euclid: 9 May 2006

zbMATH: 1102.60031
MathSciNet: MR2223956
Digital Object Identifier: 10.1214/009117905000000684

Subjects:
Primary: 60E07 , 60G15 , 60J25 , 60J55

Keywords: Gaussian processes , Infinite divisibility , Local time , Markov processes

Rights: Copyright © 2006 Institute of Mathematical Statistics

Vol.34 • No. 2 • March 2006
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