Abstract
We show the existence and continuity of the density and obtain its formula for the law of the fraction of time spent on the positive side of a very general class of one-dimensional (generalized or gap) diffusion processes. We also study the asymptotic properties of the density at the extreme values $x = 0$ and $x = 1$, which extend, in particular, some recent results by Kasahara and Yano [8].
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