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On the disribution of residuals form fitted parametric models
Abstract:Results of a simulation study of the fit of data to an estimated parametric model are reported. Three particular models including the two-parameter normal and exponential distributions, and the simple linear regression model are considered. A number of scaled versions of the least squares residuals from the regression model and quantities that we call residuals from the other two models arc seen follow the parent distribution form loo well. i.e., to be supernormal and superexponential. A point of particular interest is that this tendency does not appear to decrease with increasing sample size, at least for the sample sizes considered here.
Keywords:Fitted parametric models  residuals  supernormality  superexponentiality  superuniformity  superdistributionality
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