A Sequentially Constructed Design for Estimating a Nonlinear Parametric Function

Ian Ford · Samuel David Silvey

105 citations0/0 files storedBiometrika

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Optimal Experimental Design Methods Statistical Methods and Bayesian Inference Advanced Statistical Methods and Models

Abstract

Properties of a design constructed sequentially for a simple nonlinear problem are investigated both theoretically and by simulation. It is proved that the design measure corresponding to the sequential design converges to an optimal measure, even when the latter has singular information matrix. The empirical study suggests that in repeated-sampling inference we can effectively ignore the fact that the design is sequential.

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1972Theory of optimal experiments 1952Optimum Allocation in Linear Regression Theory

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1993Nonlinear Experiments: Optimal Design and Inference Based on Likelihood 1982Developments in the Design of Experiments, Correspondent Paper 1985Asymptotic inference from sequential design in a nonlinear situation 2001One hundred years of the design of experiments on and off the pages of Biometrika 1981Randomized Allocation of Treatments in Sequential Experiments 1988Recent Developments in the Methods of Optimum and Related Experimental Designs 1985Inference and Sequential Design 1980Aspects of Optimal Design in Dynamic Systems

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