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Optimal Design and Related Areas in Optimization and Statistics (Paperback, 2009)
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Optimal Design and Related Areas in Optimization and Statistics (Paperback, 2009)
Series: Springer Optimization and Its Applications, 28
Expected to ship within 10 - 15 working days
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The present volume is a collective monograph devoted to
applications of the optimal design theory in optimization and
statistics. The chapters re?ect the topics discussed at the
workshop "W-Optimum Design and Related Statistical Issues" that
took place in Juan-les-Pins, France, in May 2005. The title of the
workshop was chosen as a light-hearted celebration of the work of
Henry Wynn. It was supported by the Laboratoire I3S (CNRS/Universit
e de Nice, Sophia Antipolis), to which Henry is a frequent visitor.
The topics covered partly re?ect the wide spectrum of Henry's
research - terests. Algorithms for constructing optimal designs are
discussed in Chap. 1, where Henry's contribution to the ?eld is
acknowledged. Steepest-ascent - gorithms used to construct optimal
designs are very much related to general
gradientalgorithmsforconvexoptimization. Inthelasttenyears,
asigni?cant part of Henry's research was devoted to the study of
the asymptotic prop- ties of such algorithms. This topic is covered
by Chaps. 2 and 3. The work by Alessandra Giovagnoli concentrates
on the use of majorization and stoch- tic ordering, and Chap. 4 is
a hopeful renewal of their collaboration. One of Henry's major
recent interests is what is now called algebraic statistics, the
application of computational commutative algebra to statistics, and
he was partly responsible for introducing the experimental design
sub-area, reviewed in Chap. 5. One other sub-area is the
application to Bayesian networks and Chap. 6 covers this, with
Chap. 7 being strongly related."
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