Fitting Linear Relationships
A History of the Calculus of Observations 1750-1900
(Sprache: Englisch)
This book describes the development of what we would now regard as a class of statistical fitting procedures between 1750 and 1900. The book contains detailed algebraic descriptions of the fitting of linear relationships by the method of least squares and...
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This book describes the development of what we would now regard as a class of statistical fitting procedures between 1750 and 1900. The book contains detailed algebraic descriptions of the fitting of linear relationships by the method of least squares and the closely related least absolute deviations and minimax absolute deviations procedures. The prerequisite is a basic course in mathematical statistics. The primary audience for this book will be statisticians concerned with the fitting of linear models. However, it will also be of interest to engineers and scientists concernedwith the empirical determination of linear relationships.
Inhaltsverzeichnis zu „Fitting Linear Relationships “
1 Introduction.- 2 The Methods of Boscovich and Mayer.- 3 Laplace's Work on the Methods of Boscovich and Mayer.- 4 Laplace's Minimax Procedure.- 5 The Method of Least Squares.- 6 Statistical Foundations of the Method of Least Squares.- 7 Adrain's Work on the Normal Law.- 8 Gauss's Most Probable Values.- 9 Laplace's Most Advantageous Method.- 10 Gauss's Most Plausible Values.- 11 Gauss's Method of Adjustment By Correlates.- 12 Mechanical Analogies for the Method of Least Squares.- 13 Orthogonalisation Procedures.- 14 Thiele's Derivation of the Method of Least Squares.- 15 Later Work on the Method of Situation.- 16 Concluding Remarks.- Name Index.
Bibliographische Angaben
- Autor: R.W. Farebrother
- 1998, 271 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387985980
- ISBN-13: 9780387985985
- Erscheinungsdatum: 14.12.1998
Sprache:
Englisch
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