Nonlinear LP-norm estimation: part I - on the choice of the exponent, p, where the errors are additive

In this paper we shall be concerned with the errors in the nonlinear model as opposed to the actual estimation of the parameter vector A simulation study is reported which indicates an empirical relationship between the optimal exponent p and the kurtosis of a given symmetric error distribution. The results are supported by the application of recently established asymptotic properties of linear LP-norm estimators to the nonlinear case.