The use of prior distributions in the design of experiments for parameter estimation in non-linear situations

Abstract

When prior information is available on the parameters of a non-linear model, it should influence the choice of the appropriate experimental design. We here investigate, for the single response case, how prior information on the parameters in the form of a multivariate normal distribution can be used in selecting designs for parameter estimation. An example illustrates how the precision of the prior knowledge can affect the positioning of the design points.

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