Selfdecomposable Laws Associated with Hyperbolic Functins

preprint2010arXivOpen access

Abstract

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

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