Conditions for a Lévy process to stay positive near 0, in probability

Ross A. Maller

doi:10.3150/15-BEJ716

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Home > Journals > Bernoulli > Volume 22 > Issue 4 > Article

November 2016 Conditions for a Lévy process to stay positive near 0, in probability

Ross A. Maller

Bernoulli 22(4): 1963-1978 (November 2016). DOI: 10.3150/15-BEJ716

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Abstract

A necessary and sufficient condition for a Lévy process $X$ to stay positive, in probability, near 0, which arises in studies of Chung-type laws for $X$ near 0, is given in terms of the characteristics of $X$.

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Ross A. Maller. "Conditions for a Lévy process to stay positive near 0, in probability." Bernoulli 22 (4) 1963 - 1978, November 2016. https://doi.org/10.3150/15-BEJ716