How can we use L-moment ratio diagram for goodness of fit hydrological data Sample for tow parameter distribution (as Gumbel), where L-skewness and L-kurtosis for Gumbel represent by single point on the diagram

On the other hand, 3Parameter distribution L-moment goodness of fit measure by "Z^DIST" that can be calculated by simulation according to Hosking 1993

I did not find a mathematical way for goodness of fit for 2parameter distribution like 3 parameter one, Please some references or information about this.

Thanks

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