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As we know in insurance sector claims follow exponential fmily distributions, so in oredr to build the claim severity models we use the GLM technique called gamma model.
I am trying to build insurance claim severity model in SAS using proc genmod with gamma distribution. i am getting very large values for 'scale deviance' and 'pearson scale deviance' (i.e value/df) in goodness of fit tests, where in for good model these values should be near to 1 .
what would be the probable reason for this and how could i get better results and is there any literature on gamma models used for claims severity modeling to cross validate the procedure.
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Observe the histogram for claim severity and verify whether the model can be used. Or provide more information about mean, median and standard deviation of claim severity.
Check the value against chi-square to see if the results are reasonable. If not, take a closer look at the residuals to see if you can pinpoint what is going on.
-Ralph Winters