Optimal designs for multi-factor nonlinear models based on the second-order least squares estimator

Lei He

Statistics & Probability Letters, 2018, vol. 137, issue C, 201-208

Abstract: In this paper, we investigate the locally and maximin optimal design problems for multi-factor nonlinear models based on the second-order least squares estimator (SLSE), it is shown that the product-type designs are optimal based on the SLSE for the multi-factor nonlinear models without constant term when the sufficient conditions are satisfied. Some examples are presented to illustrate the theoretical results. Several by-products on locally and maximin optimal designs for uni-factor exponential decay models are also obtained.

Keywords: Additive models; Locally D-optimality; Standardized maximin D-optimality; Second-order least squares estimator; Exponential models (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2018.01.005

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