How to calculate the skewness and kurtosis from MATLAB gaussian mixture model function---fitgmdist ?

If I have a 1 dimension sequence, I could use the fitgmdist function to extract the means and sigmas of several distribution from this sequence. That is, I could collect several mean value and sigma value to represent this 1 dimension sequence.

But I still want to know, if this MATLAB function fitgmdist could extract the mean and sigma, whether it extract the skewness and kurtosis as well?

Answer 1

[Jeff Miller]

The gaussians in the mixture have different means and sigmas, but since they are gaussians they all have the same skewness (0) and kurtosis (3). So, there is no need to extract these values for the different gaussians in the mixture.

[Yihan Ma]

Thanks, got it!

So I just need to use BIC value to get the number of gaussians model, and then collect the means and sigmas to represent the raw data.