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...
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments i...
In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.
In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statisti...
Wie funktioniert die Wahl des Deutschen Bundestags? Wie errechnen sich Sitze in Schweizer Kantonsparlamenten? Kann man Stimmzahlen uberhaupt fair auf Mandate umrechnen?
Sitzzuteilungsmethoden und ihre wichtigsten formalen Eigenschaften sind Thema dieses an der Universitat Augsburg erprobten Kompaktkurses. Verhaltniswahlsystemeund ihre Methoden, Stimmenzahlen am Ende einer demokratischen Wahl in Mandate zu verrechnen, werden hier ausfuhrlich und anschaulich behandelt. Zahlreiche Beispiele mit aktuellen Wahlergebnissen sichern dabei Realitatsnahe.
Verfassungsrechtliche und...
Wie funktioniert die Wahl des Deutschen Bundestags? Wie errechnen sich Sitze in Schweizer Kantonsparlamenten? Kann man Stimmzahlen uberhaupt fair a...
