Locally $D$-optimal Designs for Non-linear Models on the $k$-dimensional Ball
Methodology
2021-04-07 v1
Abstract
In this paper we construct (locally) -optimal designs for a wide class of non-linear multiple regression models, when the design region is a -dimensional ball. For this construction we make use of the concept of invariance and equivariance in the context of optimal designs. As examples we consider Poisson and negative binomial regression as well as proportional hazard models with censoring. By generalisation we can extend these results to arbitrary ellipsoids.
Keywords
Cite
@article{arxiv.1806.00275,
title = {Locally $D$-optimal Designs for Non-linear Models on the $k$-dimensional Ball},
author = {Martin Radloff and Rainer Schwabe},
journal= {arXiv preprint arXiv:1806.00275},
year = {2021}
}