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Sep 26, 2010 at 23:40 comment added J. M. isn't a mathematician That would be a good addition to the method I proposed above (using the approximation derived from Lagrange inversion to start up a Newton-Raphson iteration); but sometimes, you have to assess if the increased accuracy in evaluation is worth the computational burden (for generating a whole lot of random variates, you'd want to minimize transcendental function evaluations because they're so slow)
Sep 26, 2010 at 20:54 history answered Federico Poloni CC BY-SA 2.5