## Brazilian Journal of Probability and Statistics

### Some refinements on Fedorov’s algorithms for constructing D-optimal designs

#### Abstract

Well-known and widely used algorithms for constructing D-optimal designs are Fedorov’s sequential algorithm and Fedorov’s exchange algorithm. In this paper, we modify these two algorithms by adding or exchanging two or more points simultaneously at each step. This will significantly reduce the number of steps needed to construct a D-optimal design. We also prove the convergence of the proposed sequential algorithm to a D-optimal design. Optimal designs for rational regression are used as an illustration.

#### Article information

Source
Braz. J. Probab. Stat., Volume 29, Number 1 (2015), 53-70.

Dates
First available in Project Euclid: 30 October 2014

https://projecteuclid.org/euclid.bjps/1414674775

Digital Object Identifier
doi:10.1214/13-BJPS228

Mathematical Reviews number (MathSciNet)
MR3299107

Zentralblatt MATH identifier
1329.62348

#### Citation

Al Labadi, Luai. Some refinements on Fedorov’s algorithms for constructing D-optimal designs. Braz. J. Probab. Stat. 29 (2015), no. 1, 53--70. doi:10.1214/13-BJPS228. https://projecteuclid.org/euclid.bjps/1414674775

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