Calculate the Cauchy Quantile (inverse of the Cauchy distribution) for arbitrary x0 and gamma (γ
, a.k.a. scale parameter).
Q(ρ; x0,γ) = x0 + γ tan[π (ρ - 0.5)]
- See this in action in Google Sheets. There is both an x/y plot and a histogram graph. If you want to adjust the values on the CouchyRandom sheet, use the "File" menu and pick "Make a copy".