Description

Book Synopsis
A balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression. This book provides background material on linear regression, including a geometrical development for linear and nonlinear least squares.

Table of Contents
Review of Linear Regression.

Nonlinear Regression: Iterative Estimation and Linear Approximations.

Practical Considerations in Nonlinear Regression.

Multiresponse Parameter Estimation.

Models Defined by Systems of Differential Equations.

Graphical Summaries of Nonlinear Inference Regions.

Curvature Measures of Nonlinearity.

Appendix 1: Data Sets Used in Examples.

Appendix 2: QR Decompositions Using Householder Transformations.

Appendix 3: Pseudocode for Computing Algorithms.

Appendix 4: Data Sets Used in Problems.

Appendix 5: Evaluating Matrix Exponentials and Convolutions.

Appendix 6: Interpolating Profile Pair Contours.

Appendix 7: Key to Data Sets.

References.

Bibliography.

Index.

Nonlinear Regression Analysis and Its

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    A Paperback / softback by Douglas M. Bates, Donald G. Watts

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      View other formats and editions of Nonlinear Regression Analysis and Its by Douglas M. Bates

      Publisher: John Wiley & Sons Inc
      Publication Date: 04/06/2007
      ISBN13: 9780470139004, 978-0470139004
      ISBN10: 0470139005
      Also in:
      Mathematics

      Description

      Book Synopsis
      A balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression. This book provides background material on linear regression, including a geometrical development for linear and nonlinear least squares.

      Table of Contents
      Review of Linear Regression.

      Nonlinear Regression: Iterative Estimation and Linear Approximations.

      Practical Considerations in Nonlinear Regression.

      Multiresponse Parameter Estimation.

      Models Defined by Systems of Differential Equations.

      Graphical Summaries of Nonlinear Inference Regions.

      Curvature Measures of Nonlinearity.

      Appendix 1: Data Sets Used in Examples.

      Appendix 2: QR Decompositions Using Householder Transformations.

      Appendix 3: Pseudocode for Computing Algorithms.

      Appendix 4: Data Sets Used in Problems.

      Appendix 5: Evaluating Matrix Exponentials and Convolutions.

      Appendix 6: Interpolating Profile Pair Contours.

      Appendix 7: Key to Data Sets.

      References.

      Bibliography.

      Index.

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