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I am analysing hydrology data and curve fitting to check the best probability distribution among 8 candidate distribution. (2 and 3 parameter distributions)

The selection is based on the lowest AIC value.

While doing my calculation in excel, how is it suggested to treat very low (approx 0) likelihood function values which result in a log likelihood of zero?

Should I just delete those value to get an AIC?

They generally are very low or very high values (possibly outliers ) which cause undefined values of log likelihood.

(I can delete those values because they are actual recorded data)

I would appreciate if someone can suggest the treatment of such data which result in zero likelihood and the log of which cant be determined.

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# Calculating log liklihood: Zero value of likelihood function

**Physics Forums | Science Articles, Homework Help, Discussion**