Bessel Functions of Fractional Order
Macleod, A.J. 1998, “Fermi-Dirac Functions
Given a particular set of parameters, what is the probability that the observed data set should have occurred?
Levenberg-Marquardt Method (also called the Marquardt method) works very well in practice if you can guess plausible starting points for your parameters. It has become a standard nonlinear least-squares routine.
Numerical Calculation of M-Estimates, in order to fit a model by means of an M-estimate, you first decide which M-estimate you want, that is, which matching pair , you want to use. You then have to make an unpleasant choice between two fairly difficult problems. Either find the solution of the nonlinear set of M equations or else minimize the single function in M variables