## The Annals of Statistics

### A Convergence Theorem in $L$-Optimal Design Theory

Jia-Yeong Tsay

#### Abstract

It is shown that the Fedorov procedure for finding $L$-optimal designs always converges to an $L$-optimal design, even when the limiting design is singular. Two lemmas are given first. An example illustrates the case of singular limiting design.

#### Article information

Source
Ann. Statist., Volume 5, Number 4 (1977), 790-794.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176343902

Digital Object Identifier
doi:10.1214/aos/1176343902

Mathematical Reviews number (MathSciNet)
MR438604

Zentralblatt MATH identifier
0355.62067

JSTOR
Tsay, Jia-Yeong. A Convergence Theorem in $L$-Optimal Design Theory. Ann. Statist. 5 (1977), no. 4, 790--794. doi:10.1214/aos/1176343902. https://projecteuclid.org/euclid.aos/1176343902