English

Various Optimality Criteria for the Prediction of Individual Response Curves

Statistics Theory 2018-08-14 v1 Statistics Theory

Abstract

We consider optimal designs for the Kiefer cirteria, which include the E-criterion as a particular case, and the G-criterion in random coefficients regression (RCR) models. We obtain general the Kiefer criteria for approximate designs and prove the equivalence of the E-criteria in the fixed effects and RCR models. We discuss in detail the G-criterion for ordinary linear regression on specific design regions.

Keywords

Cite

@article{arxiv.1808.03993,
  title  = {Various Optimality Criteria for the Prediction of Individual Response Curves},
  author = {Maryna Prus},
  journal= {arXiv preprint arXiv:1808.03993},
  year   = {2018}
}