What is the Inverse CDF of Wrapped Cauchy Distribution?

[KonstantinosS]

I'm trying to calculate the inverse CDF of wrapped Cauchy distribution using Mathematica but it gets me nowhere. Probably i lack all the needed knowledge to do so (still a freshman with no statistics experience so far). Any help would be appreciated.

Thanks,

 

[bpet]

Did you manage to find an expression for the CDF?

Depending on the application you might not need the explicit inverse CDF, e.g. for simulation you could just generate a Cauchy r.v. and take the remainder mod 1.