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Regression models for limited continuous dependent variables having anon-negligible probability of attaining exactly their limits are presented. Themodels differ in the number of parameters and in their flexibility. Fractionaldata being a special case of limited dependent data, the models also apply tovariables that are a fraction or a proportion. It is shown how to fit thesemodels and they are applied to a Loss Given Default dataset from insurance towhich they provide a good fit.

Using The Censored Gamma Distribution for Modeling Fractional Response Variables with an Application to Loss Given Default