Skip to main content
SpringerLink
Log in

Functional Relations, Random Coefficients, and Nonlinear Regression with Application to Kinetic Data

  • Book
  • © 1984

Overview

Authors:
  1. Søren Johansen

    1. Institute of Mathematical Statistics, University of Copenhagen, Copenhagen Ø, Denmark

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Statistics (LNS, volume 22)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. An Example From Physiology

    • Søren Johansen
    Pages 1-8

  3. The General Linear Model

    • Søren Johansen
    Pages 9-35

  4. The Linear Functional Relation

    • Søren Johansen
    Pages 36-51

  5. Random Coefficient Models

    • Søren Johansen
    Pages 52-70

  6. Non Linear Regression

    • Søren Johansen
    Pages 71-97

  7. Some Examples of Non Linear Regression Problems

    • Søren Johansen
    Pages 98-114

  8. Back Matter

    Pages 115-126
    Download chapter PDF
Back to top

Keywords

About this book

These notes on regression give an introduction to some of the techniques that I have found useful when working with various data sets in collaboration with Dr. S. Keiding (Copenhagen) and Dr. J.W.L. Robinson (Lausanne). The notes are based on some lectures given at the Institute of Mathematical Statistics, University of Copenhigen, 1978-81, for graduate students, and assumes a familiarity with statistical theory corresponding to the book by C.R. Rao: "Linear Statistical Inference and its Applications". Wiley, New York (1973) . The mathematical tools needed for the algebraic treatment of the models are some knowledge of finite dimensional vector spaces with an inner product and the notion of orthogonal projection. For the analytic treatment I need characteristic functions and weak convergence as the main tools. The most important statistical concepts are the general linear model for Gaussian variables and the general methods of maximum likelihood estimation as well as the likelihood ratio test. All these topics are presented in the above mentioned book by Rao and the reader is referred to that for details. For convenience a short appendix is added where the fundamental concepts from linear algebra are discussed.

Authors and Affiliations

  • Institute of Mathematical Statistics, University of Copenhagen, Copenhagen Ø, Denmark

    Søren Johansen

Bibliographic Information

  • Book Title: Functional Relations, Random Coefficients, and Nonlinear Regression with Application to Kinetic Data

  • Authors: Søren Johansen

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-5244-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1984

  • Softcover ISBN: 978-0-387-90968-4Published: 10 April 1984

  • eBook ISBN: 978-1-4612-5244-3Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: VIII, 126

  • Topics: Probability Theory and Stochastic Processes, Applications of Mathematics

Publish with us

Policies and ethics

Back to top

Search

Navigation