PsiCauchy Distribution

PsiCauchy (loc, λ,...)

PsiCauchy (λ) is a distribution with a central peak, with very heavy tails and no finite moments; it has no moments such as mean, variance, etc. defined, but its mode and median are both equal to zero. The ratio of two independent standard Normal random variables is a Cauchy distribution with parameter λ = 1.

Enter a scale value greater than 0 for the first argument, loc.  This value determines the height or the peak in the distribution. 

Alternate Formulation:  PsiCauchyAlt

PsiCauchyAlt is the PsiCauchy distribution defined through alternative arguments.  Two percentiles are required.