Recycled two-stage estimation in nonlinear mixed effects regression models

Yue Zhang () and Ben Boukai ()
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Yue Zhang: Department of Mathematical Sciences, IUPUI
Ben Boukai: Department of Mathematical Sciences, IUPUI

Statistical Methods & Applications, 2022, vol. 31, issue 3, No 5, 585 pages

Abstract: Abstract We consider a re-sampling scheme for estimation of the population parameters in the mixed-effects nonlinear regression models of the type used, for example, in clinical pharmacokinetics. We provide a two-stage estimation procedure which resamples (or recycles), via random weightings, the various parameter's estimates to construct consistent estimates of their respective sampling distributions. In particular, we establish under rather general distribution-free assumptions, the asymptotic normality and consistency of the standard two-stage estimates and of their resampled version and demonstrate the applicability of our proposed resampling methodology in a small simulation study. A detailed example based on real clinical pharmacokinetic data is also provided.

Keywords: Resampling; Random weights; Hierarchical nonlinear models; Random effects; MSC code1; MSC code2; more (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10260-021-00581-7

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