Bayesian optimal designs for multi-factor nonlinear models

Lei He ()
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Lei He: Anhui Normal University

Statistical Methods & Applications, 2021, vol. 30, issue 1, No 9, 223-233

Abstract: Abstract This article is concerned with the Bayesian optimal design problem for multi-factor nonlinear models. In particular, the Bayesian $$\varPsi _q$$ Ψ q -optimality criterion proposed by Dette et al. (Stat Sinica 17:463–480, 2007) is considered. It is shown that the product-type designs are optimal for the additive multi-factor nonlinear models with or without constant term when the proposed sufficient conditions are satisfied. Some examples of application using the exponential growth models with several variables are presented to illustrate optimal designs based on the Bayesian $$\varPsi _q$$ Ψ q -optimality criterion considered.

Keywords: Bayesian design; D-optimality; Product design; Nonlinear regression; Additive models (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10260-020-00522-w

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