Numerical Analysis for Statisticians

Authors:

ISBN: 978-1-4419-5944-7 (Print) 978-1-4419-5945-4 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages I-XX

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    Book Chapter

    Pages 1-11

    Recurrence Relations

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    Book Chapter

    Pages 13-25

    Power Series Expansions

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    Book Chapter

    Pages 27-38

    Continued Fraction Expansions

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    Book Chapter

    Pages 39-54

    Asymptotic Expansions

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    Book Chapter

    Pages 55-75

    Solution of Nonlinear Equations

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    Book Chapter

    Pages 77-91

    Vector and Matrix Norms

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    Book Chapter

    Pages 93-111

    Linear Regression and Matrix Inversion

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    Book Chapter

    Pages 113-128

    Eigenvalues and Eigenvectors

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    Book Chapter

    Pages 129-142

    Singular Value Decomposition

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    Book Chapter

    Pages 143-155

    Splines

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    Book Chapter

    Pages 157-188

    Optimization Theory

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    Book Chapter

    Pages 189-221

    The MM Algorithm

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    Book Chapter

    Pages 223-247

    The EM Algorithm

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    Book Chapter

    Pages 249-276

    Newton’s Method and Scoring

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    Book Chapter

    Pages 277-296

    Local and Global Convergence

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    Book Chapter

    Pages 297-332

    Advanced Optimization Topics

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    Book Chapter

    Pages 333-361

    Concrete Hilbert Spaces

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    Book Chapter

    Pages 363-377

    Quadrature Methods

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    Book Chapter

    Pages 379-393

    The Fourier Transform

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    Book Chapter

    Pages 395-411

    The Finite Fourier Transform

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