Remarks on the density of the law of the occupation time for Bessel bridges and stable excursions

Mathematics – Probability

Scientific paper

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Scientific paper

Smoothness and asymptotic behaviors are studied for the densities of the law
of the occupation time on the positive line for Bessel bridges and the
normalized excursion of strictly stable processes. The key role is played by
these properties for functions defined by Riemann--Liouville fractional
integrals.

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