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© 1990

Nonlinear Estimation

Book

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Gavin J. S. Ross
    Pages 1-11
  3. Gavin J. S. Ross
    Pages 12-43
  4. Gavin J. S. Ross
    Pages 44-72
  5. Gavin J. S. Ross
    Pages 73-107
  6. Gavin J. S. Ross
    Pages 108-133
  7. Gavin J. S. Ross
    Pages 134-142
  8. Gavin J. S. Ross
    Pages 143-173
  9. Back Matter
    Pages 174-189

About this book

Introduction

Non-Linear Estimation is a handbook for the practical statistician or modeller interested in fitting and interpreting non-linear models with the aid of a computer. A major theme of the book is the use of 'stable parameter systems'; these provide rapid convergence of optimization algorithms, more reliable dispersion matrices and confidence regions for parameters, and easier comparison of rival models. The book provides insights into why some models are difficult to fit, how to combine fits over different data sets, how to improve data collection to reduce prediction variance, and how to program particular models to handle a full range of data sets. The book combines an algebraic, a geometric and a computational approach, and is illustrated with practical examples. A final chapter shows how this approach is implemented in the author's Maximum Likelihood Program, MLP.

Keywords

Curve fitting Fitting Likelihood Variance algorithms linear optimization optimization

Authors and affiliations

  1. 1.Statistics DepartmentInstitute of Arable Crops Research Rothamsted Experimental StationHarpenden, HertsEngland

Bibliographic information

  • Book Title Nonlinear Estimation
  • Authors Gavin J.S. Ross
  • Series Title Springer Series in Statistics
  • DOI https://doi.org/10.1007/978-1-4612-3412-8
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-97278-7
  • Softcover ISBN 978-1-4612-8001-9
  • eBook ISBN 978-1-4612-3412-8
  • Series ISSN 0172-7397
  • Edition Number 1
  • Number of Pages VIII, 189
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Applications of Mathematics
  • Buy this book on publisher's site

Reviews

"The novel part of this book is a central theme on the important differences in specific parts of the problem... It contains many interesting ideas, particularly with regard to parameterizations and graphics... people with the relevant type of data should find careful study of this book very rewarding."
(Journal of the Am. Statistical Assoc.)