The mean and variance of a Kumaraswamy distribution with parameters a = 2 and b = 3 are respectively 16/35 and 201/4900.
When I solve the 2x2 system below for parameters a and b, Mathematica gags (likewise with NSolve and Reduce). FindRoot works, however.
Is there a way to get Solve or NSolve to return the values? Thanks.
Bruce
pdf = KumaraswamyDistribution[a, b];
Solve[Mean@pdf == 16/35 && Variance@pdf == 201/4900, {a, b}]
Solve::nsmet: This system cannot be solved with the methods available to Solve. >>
