Nonlinear Least Squares Estimation of the Shifted Gompertz Distribution

Darija Markovic, Dragan Jukic

Abstract


The focus of this paper is the existence of the best least squares estimate for the shifted Gompertz distribution. As a main result, two theorems on the existence of the least squares estimate are obtained, as well as their generalization in the $l_p$ norm ($1\leq p<\infty$).

Keywords


shifted Gompertz distribution, nonlinear least squares, least squares estimate, $l_p$-norm estimate, existence problem

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