Steffen L. Lauritzen

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. 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".

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