The Theory of Canonical Moments with Applicationsin Statistics, Probability, and Analysis
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More About This Title The Theory of Canonical Moments with Applicationsin Statistics, Probability, and Analysis
English
This new material is concerned with the theory and applications of probability, statistics and analysis of canonical moments. It provides a powerful tool for the determination of optimal experimental designs, for the calculation of the main characteristics of random walks, and for other moment problems appearing in probability and statistics.
English
HOLGER DETTE is Professor of Mathematics at Ruhr-Universität Bochum, Fakultät und Institut für Mathematik, Germany.
WILLIAM J. STUDDEN is Professor of Statistics and Mathematics at Purdue University.
WILLIAM J. STUDDEN is Professor of Statistics and Mathematics at Purdue University.
English
Canonical Moments.
Orthogonal Polynomials.
Continued Fractions and the Stieltjes Transform.
Special Sequences of Canonical Moments.
Canonical Moments and Optimal Design--First Applications.
Discrimination and Model Robust Designs.
Applications in Approximation Theory.
Canonical Moments and Random Walks.
The Circle and Trigonometric Functions.
Further Applications.
Bibliography.
Indexes.
Orthogonal Polynomials.
Continued Fractions and the Stieltjes Transform.
Special Sequences of Canonical Moments.
Canonical Moments and Optimal Design--First Applications.
Discrimination and Model Robust Designs.
Applications in Approximation Theory.
Canonical Moments and Random Walks.
The Circle and Trigonometric Functions.
Further Applications.
Bibliography.
Indexes.
