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2011 Mar 14
0
Fitting 4 moments distribution w/ Mixture Gaussian
Hello, I know that Mclust does the fitting on its own but I am trying to implement an optimization with the aim to generate a the mixture gaussian with the combine moments as closed as possible to the moment of my return distribution. The objective is to Min Abs((Mean Ret - MeanFit)/Mean Fit) + Abs((Std Ret -Stdev Fit)/Stdev) + Abs((Sk Ret-Sk fit)/Sk Fit) + Abs((Kurt Ret- Kurt Fit)) Taking into account that I fix the weight between the two gaussians at (0.2;0.8) I implemented the below code in R: distance <-function(parameter,x) { u=mean(x) s=sd(x) sk=skewness(x)...