Książka Optimal Design of Experiments Friedrich Pukelsheim

Optimal Design of Experiments

Język: Angielski
Oprawa: Miękka
Dostępność: Dodruk
Wydanie 10. 07. 2026
552.25
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2006
strony
483
EAN
9780898716047
ISBN
0898716047
Enbook ID
02050183
Waga
527
Wymiary
151 x 227 x 20

Pełny opis

Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.

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