We discuss the optimal design problem in regression models with long range dependence error structure. Asymptotic optimal designs are derived and it is demonstrated that these designs depend only indirectly on the correlation function. Several examples are investigated to illustrate the theory. Finally the optimal designs are compared with asymptotic optimal designs, which were derived by Bicke...

A fast and simple method is proposed that produces approximate multivariate local D-optimal designs of high e¢ ciency for models with binary response. The method assumes availability of a D-optimal design for a parallel normal response linear problem that has the same linear predictor, with an assumption of homogenous variance; the change required to transform the standard design into an e¢ cie...

Knowing an upper bound on the number of optimal design points greatly simplifies the search for an optimal design. Carathéodory’s Theorem is commonly used to identify an upper bound. However, the upper bound from Carathéodory’s Theorem is relative loose when there are three or more parameters in the model. In this paper, an alternative approach of finding a sharper upper bound for classical opt...

Optimal Design of Acceptance Sampling Plans by Variables for Nonconforming Proportions When the Standard Deviation Is Unknown Belmiro P.M. Duarte a & Pedro M. Saraiva b a Department of Chemical and Biological Engineering, Instituto Superior de Engenharia de Coimbra (ISEC), Polytechnic Institute of Coimbra, Coimbra, Portugal b GEPSI PSE Group, Chemical Process Engineering and Forest Products Res...