Design of computer experiments: space filling and beyond

L Pronzato, WG Müller - Statistics and Computing, 2012 - Springer
When setting up a computer experiment, it has become a standard practice to select the
inputs spread out uniformly across the available space. These so-called space-filling …

Equidistant and D-optimal designs for parameters of Ornstein–Uhlenbeck process

J Kiseľák, M Stehlík - Statistics & Probability Letters, 2008 - Elsevier
In the present paper we provide a thorough study of small sample and asymptotical
comparisons of the efficiencies of equidistant designs taking into account both the …

Optimal designs in regression with correlated errors

H Dette, A Pepelyshev, A Zhigljavsky - Annals of statistics, 2015 - pmc.ncbi.nlm.nih.gov
This paper discusses the problem of determining optimal designs for regression models,
when the observations are dependent and taken on an interval. A complete solution of this …

Optimal design for linear models with correlated observations

H Dette, A Pepelyshev, A Zhigljavsky - 2013 - projecteuclid.org
In the common linear regression model the problem of determining optimal designs for least
squares estimation is considered in the case where the observations are correlated. A …

Filling and D-optimal designs for the correlated Generalized Exponential models

JM Rodríguez-Díaz, MT Santos-Martín, H Waldl… - Chemometrics and …, 2012 - Elsevier
The aim of this paper is to provide guidelines for the statistically efficient estimation of
parameters of a modified Arrhenius model for chemical kinetics. A modified Arrhenius model …

Compound optimal spatial designs

WG Müller, M Stehlík - Environmetrics: The official journal of the …, 2010 - Wiley Online Library
A single purpose design may be quite inefficient for handling a real‐life problem. Therefore,
we often need to incorporate more than one design criterion and a common approach is …

Issues in the optimal design of computer simulation experiments

W Müller, M Stehlík - Applied Stochastic Models in Business …, 2009 - Wiley Online Library
Output from computer simulation experiments is often approximated as realizations of
correlated random fields. Consequently, the corresponding optimal design questions must …

A new approach to optimal designs for correlated observations

H Dette, M Konstantinou, A Zhigljavsky - 2017 - projecteuclid.org
This paper presents a new and efficient method for the construction of optimal designs for
regression models with dependent error processes. In contrast to most of the work in this …

Optimal prediction designs in finite discrete spectrum linear regression models

R Harman, F Štulajter - Metrika, 2010 - Springer
In the paper, we solve the n-point optimal prediction design problem for the simplest
nontrivial finite discrete spectrum linear regression models with correlated observations. We …

Design for linear regression models with correlated errors

H Dette, A Pepelyshev… - Handbook of Design and …, 2015 - api.taylorfrancis.com
The common linear regression model is given by y (x)= θ1f1 (x)+···+ θmfm (x)+ ε (x),(6.1)
where f1 (x),..., fm (x) are given linearly independent functions, ε (x) denotes a random error …