Description

Book Synopsis
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.

Table of Contents
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.

The Theory of Canonical Moments with Applications

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    A Hardback by Holger Dette, William J. Studden

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      View other formats and editions of The Theory of Canonical Moments with Applications by Holger Dette

      Publisher: John Wiley & Sons Inc
      Publication Date: Publication Date: 15/09/1997
      ISBN13: 9780471109914, 978-0471109914
      ISBN10: 0471109916

      Description

      Book Synopsis
      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.

      Table of Contents
      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.

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