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arxiv: 0905.2646 · v4 · pith:SAZIBCZHnew · submitted 2009-05-18 · 📊 stat.CO · math.ST· stat.ME· stat.TH

Monotonic convergence of a general algorithm for computing optimal designs

classification 📊 stat.CO math.STstat.MEstat.TH
keywords designsoptimalcomputingconvergencegeneralmonotonictitteringtonalgorithm
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Monotonic convergence is established for a general class of multiplicative algorithms introduced by Silvey, Titterington and Torsney [Comm. Statist. Theory Methods 14 (1978) 1379--1389] for computing optimal designs. A conjecture of Titterington [Appl. Stat. 27 (1978) 227--234] is confirmed as a consequence. Optimal designs for logistic regression are used as an illustration.

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