  This paper develops some general calculus for GGC and Dirichlet process means
functionals. It then proceeds via an investigation of positive Linnik random
variables, and more generally random variables derived from compositions of a
stable subordinator with GGC subordinators, to establish various distributional
equivalences between these models and phenomena connected to local times and
occupation times of what are defined as randomly skewed Bessel processes and
bridges. This yields a host of interesting identities and explicit density
formula for these models. Randomly skewed Bessel processes and bridges may be
seen as a randomization of their p-skewed counterparts developed in Barlow,
Pitman and Yor (1989) and Pitman and Yor (1997), and are shown to naturally
arise via exponential tilting. As a special result it is shown that the
occupation time of a p-skewed random Bessel process or (generalized) bridge is
equivalent in distribution to the occupation time of a non-trivial randomly
skewed process.
