How would I get the AIC value of any Distribution Fitting?

I wanna do distribution fitting of Velocity parameter data, i assumed normal and epsilon skew distributions as shown in the picture using the Distribution fittier Matlab App, but now i need to compute something called Akaike’s Information Criterion (AIC) in order to decide which one is most fit. any help please ?

Answer 1

[Karanjot]

Hi Khaled,

I understand that you want to learn about results of Akaike’s Information Criterion and the process for computing it.

Information criteria rank models using measures that balance goodness of fit with parameter parsimony. For a particular criterion, models with lower values are preferred. Akaike's Information Criterion (AIC) provides a measure of model quality obtained by simulating the situation where the model is tested on a different data set. After computing several different models, you can compare them using this criterion. The mAIC matrix represents the AIC values for different combinations of p and q.

The AIC is used as a model selection criteria in statistics. Lower values indicate better-fitting models. In this case, you can compare the AIC values within each matrix to identify the combination of p and q that provides the best fit for your ARIMA model.

To learn more about this, please refer to the pages below, especially the ‘More About’ section:

https://www.mathworks.com/help/econ/aicbic.html#btvzzrv-5

https://www.mathworks.com/help/ident/ref/idmodel.aic.html#buy66ft-5

I hope this helps!