The Use of a Canonical Form in the Construction of Locally Optimal Designs for Non-Linear Problems

Abstract

SUMMARY Optimal experimental designs for non-linear problems depend on the values of the underlying unknown parameters in the model. For various reasons there is interest in providing explicit formulae for the optimal designs as a function of the unknown parameters. This paper shows that, for a certain class of generalized linear models, the problem can be reduced to a canonical form. This simplifies the underlying problem and designs are constructed for several contexts with a single variable using geometric and other arguments.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 258 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.