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Prominent single variable methods are replacing missing values with the available samples' mean, nearest neighbor (NN), linear interpolation and spline (Junninen et al. 2004).
The complex variable methods are shown to have advantages over traditional numerical differentiation in that more accurate and stable first and second order derivatives are obtained using CTSE and more accurate and stable higher order derivatives are obtained using FD.
Instrumental variable methods are becoming increasingly popular because they seem to overcome the problem of unobserved confounding in observational studies [ 25].
Studies using observational data, even when researchers employ instrumental variable methods, are almost always subject to criticism regarding the possibility of treatment selection bias.
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For the purposes of design sensitivity analysis, a direct differentiation method and an adjoint variable method are presented.
In this paper, two semi-analytical methods of sensitivity analysis, the Direct Differentiation Method and the Adjoint Variable Method, are extended to multibody systems with collisions.
The material derivative concept of continuum mechanics and the adjoint variable method are used to derive the shape and topology design sensitivity expressions in the domain integral form.
Through numerical examples, the efficiency and accuracy of the proposed semi-analytic sensitivity scheme in the adjoint variable method are demonstrated.
The separation variable method is employed to solve Eq. (10).
His circular variable method was acknowledged as a low-cost approach to simulating train system dynamics.
In the analysis, the slack variable method is used to find the exact transition time.
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