I'm interested in estimating the shape parameters of a Kumaraswamy distribution from sample data. The closest research I can find is Jones' paper from 2009 which analyses a maximum likelihood method, but suggests only generic root-finding for computing the parameter estimates.
Is there more work in this area? Or can somebody suggest even a crude but fast way of estimating the parameters from data?
Jones, M.C.: Kumaraswamy’s distribution: A beta-type distribution with some tractability advantages. Statist. Meth. 6, 70-81