Detection of influential measurement for ordinary differential equation with application to HIV dynamics

Jie Zhou

Statistics & Probability Letters, 2015, vol. 107, issue C, 324-332

Abstract: The detection of influential measurement is considered when ODE model is estimated by two-step approach. Two kinds of diagnosis approaches are proposed which are based on case deletion model and perturbation model respectively. The formulas for both diagnosis statistics turn out to have the same form. This fact can facilitate the implementation of the proposed diagnosis inferences. Numerical studies validate the efficacy of the proposed diagnosis approaches.

Keywords: HIV model; Two-step estimation; Case deletion; Perturbation; Cook distance (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.09.007

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