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In this article, the parameters of a hybrid log-linear model (log-Poisson)are estimated using the fuzzy least-squares (FLS) procedures (Celmi\c{n}\v{s},987a,b, D'Urso and Gastaldi, 2000, DUrso and Gastaldi, 2001). A goodness of fithave been derived in order to assess and compare this new model and theclassical log-Poisson regression in loss reserving framework (Mack, 1991). Boththe hybrid model and its goodness of fit are performed on a loss reservingdata.

A Least Squares Estimation of a Hybrid log-Poisson Regression and its Goodness of Fit for Optimal Loss Reserves in Insurance