Selfdecomposable Laws Associated with Hyperbolic Functins

Details Selfdecomposable Laws Associated with Hyperbolic Functins Selfdecomposable Laws Associated with Hyperbolic Functins

2010-09-18

arxiv.org/abs/1009.3542v1

Probab. Math. Stat. vol. 24(1) (2004), pp.181-190

Mathematics

Probability

Scientific paper

It is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short: SD probability distributions or L\'evy class L probability laws). Consequently, they admit associated background driving L\'evy processes $Y$ (BDLP Y). We interpret the distributions of Y(1) via Bessel squared processes, Bessel bridges and local times.

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