Fitting Linear Relationships: A History of the Calculus of Observations 1750–1900: Springer Series in Statistics
Autor R.W. Farebrotheren Limba Engleză Hardback – 14 dec 1998
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Specificații
ISBN-13: 9780387985985
ISBN-10: 0387985980
Pagini: 271
Ilustrații: XII, 271 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.58 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Springer Series in Statistics
Locul publicării:New York, NY, United States
ISBN-10: 0387985980
Pagini: 271
Ilustrații: XII, 271 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.58 kg
Ediția:1999
Editura: Springer
Colecția Springer
Seria Springer Series in Statistics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.
Recenzii
From the reviews:
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
"Farebrother gives the details of the algebraic development of various procedures, striving to make them more understandable by modernizing and standardizing the notation as much as possible without departing too far from that used by the original developers. ...Readers interested in the history...will be gratified by the helpful historical and bigraphical notes...I thoroughly enjoyed reading this book, and recommend it without hesitation to readers interested in the subject."
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
"Farebrother gives the details of the algebraic development of various procedures, striving to make them more understandable by modernizing and standardizing the notation as much as possible without departing too far from that used by the original developers. ...Readers interested in the history...will be gratified by the helpful historical and bigraphical notes...I thoroughly enjoyed reading this book, and recommend it without hesitation to readers interested in the subject."
Caracteristici
Gives a clear understanding of the historical development of commonly used statistical estimation procedures, an approach which is not found in other books Considers a wide variety of distinct approaches which lead to the same statistical techniques; this gives readers valuable insights into the essential nature of these procedures Of interest to both statisticians concerned with the fitting of linear models, as well as to engineers and scientists working with the empirical determination of linear relationships Includes supplementary material: sn.pub/extras