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Functional relations, random coefficients, and nonlinear regression with application to kinetic data

Author: Søren Johansen
Publisher: New York : Springer-Verlag, ©1984.
Series: Lecture notes in statistics (Springer-Verlag), v. 22.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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.

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Genre/Form: Nichtlineare Regressionsanalyse
Additional Physical Format: Online version:
Johansen, Søren, 1939-
Functional relations, random coefficients, and nonlinear regression with application to kinetic data.
New York : Springer-Verlag, ©1984
(OCoLC)624346280
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Søren Johansen
ISBN: 0387909680 9780387909684 3540909680 9783540909682
OCLC Number: 10324906
Notes: Based on lectures given at the Institute of Mathematical Statistics, University of Copenhagen, 1978-1981, for graduate students.
Description: viii, 126 pages : illustrations ; 24 cm.
Contents: List of Contents.- 1. An example from physiology.- 1.1 The experiment and the data.- 1.2 The model.- 2. The general linear model.- 2.1 Independent observations with the same variance.- 2.2 Correlated observations with known covariance matrix.- 2.3 Correlated observations with unknown covariance matrix.- 2.4 The general linear model with estimated weights.- 3. The linear functional relation.- 3.1 Introduction.- 3.2 The model and the estimates.- 3.3 Comments on the model.- 3.4 Asymptotic theory.- 3.5 Asymptotic properties of the estimators.- 3.6 Asymptotic properties of the test statistics.- 3.7 Comments on the asymptotic results.- 4. Random coefficient models.- 4.1 Introduction.- 4.2 The balanced case.- 4.3 Test for the specification of the model.- 4.4 Test of hypotheses within the model.- 4.5 An analysis of the unbalanced case.- 5. Non linear regression.- 5.1 The model.- 5.2 Estimation.- 5.3 Hypothesis testing.- 5.4 Curvature.- 6. Some examples of non linear regression problems.- 7. References.- 8. Index.- Examples.- 9. Appendix.
Series Title: Lecture notes in statistics (Springer-Verlag), v. 22.
Responsibility: Søren Johansen.

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