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Further studies on square-root boundaries for Bessel processes
Larbi Alili, Hiroyuki Matsumoto · 2017-09-26 · via math.PR updates on arXiv.org

We look at decompositions of perpetuities and apply that to the study of the distributions of hitting times of Bessel processes of two types of square root boundaries. These distributions are linked giving a new proof of some Mellin transforms results obtained by David M. DeLong and M. Yor. Several random factorizations and characterizations of the studied distributions are established.

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