Thiele : pioneer in statistics

by Steffen L. Lauritzen

Other authorsAnders Hald (Author), Thorvald Nicolai Thiele (Author)
Hardcover, 2002

Status

Available

Call number

519.5

Library's review

Indeholder "Preface", "1. Introduction to Thiele (Steffen L. Lauritzen)", "2. On the application of the method of least squares to some cases, in which a combination of certain types of inhomogenous random sources of errors gives these a 'systematic' character (Thorvald Nicolai Thiele)", " 1.
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Introduction", " 2. Adjustment of a series of observations of an instrument constant", " 3. Determination of the units for two types of weights", " 4. Adjustment by linear functions of the unknown elements", " 5. Numerical example", "3. Time series analysis in 1880: a discussion of contributions made by T. N. Thiele (Steffen L. Lauritzen)", " 1. Introduction", " 2. The model", " 3. Least squares prediction of the Brownian motion", " 4. Recursive solutions to the prediction problem", " 5. Thiele's estimation of the error variances", " 6. Discussion of procedures for estimation of the error variances", " 7. An application", " 8. Final comments", "4. The general theory of observations: Calculus of probability and the method of least squares (Thorvald Nicolai Thiele)", " 1. On the relation of the law of causality to observation", " 1.1 Accidental and systematic errors", " 1.2 Actual and theoretical error laws", " 2. On actual error laws", " 2.1 Actual error laws and relative frequency", " 2.2 Actual error laws expressed by symmetric functions", " 2.3 Actual error laws for functions of observed variables", " 3. The hypothetical or theoretical error law of the method of observation. The law of the large numbers", " 3.1 Probability", " 3.2 The error law of the method expressed by symmetric functions", " 3.3 On adjustment", " 3.4 The principle of adjustment by the method of least squares", " 3.5 Adjustment by elements", " 3.6 On systematic errors", " 4. Tables and figures", "5. T. N. Thiele's contributions to statistics (Anders Hald)", " 1. The background", " 2. Thorvald Nicolai Thiele, 1838 - 1910", " 3. Skew distributions", " 4. Cumulants", " 5. Estimation methods and k statistics", " 6. The linear model with normally distributed errors", " 7. Analysis of variance", " 8. A time series model combining Brownian motion and the linear model with normally distributed errors", "6. On the halfinvariants in the theory of observations (Thorvald Nicolai Thiele)", "7. The early history of cumulants and the Gram-Charlier series (Anders Hald)", " 1. Introduction", " 2. The central limit theorem, the moments, and the Gram-Charlier series", " 3. Least squares approximation by orthogonal polynomials", " 4. Thiele's halfinvariants, their operational properties, and the Gram-Charlier series", "8. Epilogue (Steffen L. Lauritzen)", "Bibliography", "Index".

En bog med baggrunden for manden, hans matematik og anvendelser af den.
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Publication

New York : Oxford University Press, 2002.

Description

Thorvald Nicolai Thiele was a brilliant Danish researcher of the 19th century: a Professor of Astronomy at the University of Copenhagen and the founder of Hafnia, the first Danish private insurance company. This book examines his statistical work and translates three of his masterpieces.

Language

Original language

English

Physical description

264 p.; 23.9 cm

ISBN

0198509723 / 9780198509721

Local notes

Omslag: Indbundet
Omslaget viser en guldmedalje med Thieles portræt på
Indskannet omslag - N650U - 150 dpi
Den 12 maj 2005 var jeg på besøg ved Hafnias gamle lokaler og fotograferede mønsteret i flisegulvet. (Jeg var egentlig ovre for at se en udstiling på Kronborg om te.)
Side 5: Mønstre i komplekse heltal modulo en konstant.
Uddrag af Forhandlingerne ved de skandinaviske Naturforskeres 11te Møde i København, Juli 1873, side 192-195.
De tre første mønstre er gaussiske heltal modulo 14+i, modulo 19 og modulo 17+8i.

Pages

264

Library's rating

Rating

(1 rating; 4)

DDC/MDS

519.5
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