Thiele - Pioneer in Statistics
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A termék adatai:
- Kiadó OUP Oxford
- Megjelenés dátuma 2002. október 10.
- ISBN 9780198509721
- Kötéstípus Keménykötés
- Terjedelem276 oldal
- Méret 241x162x20 mm
- Súly 617 g
- Nyelv angol
- Illusztrációk 8 halftones and numerous tables 0
Kategóriák
Rövid leírás:
This book studies the brilliant Danish 19th Century astronomer, T.N. Thiele who made important contributions to statistics, actuarial science, astronomy and mathematics. The most important of these contributions in statistics are translated into English for the first time, and the text includes comments that set his achievements in a modern and historical perspective.
TöbbHosszú leírás:
Thorvald Nicolai Thiele was a brilliant Danish researcher of the 19th Century. He was a professor of Astronomy at the University of Copenhagen and the founder of Hafnia, the first Danish private insurance company. Thiele worked in astronomy, mathematics, actuarial science, and statistics, his most spectacular contributions were in the latter two areas, where his published work was far ahead of his time.
This book, written for researchers and graduate students of statistical, science and mathematics history, is concerned with his statistical work. It evolves around his three main statistical masterpieces, which are now translated into English for the first time:
1) His article from 1880 where he derives the Kalman filter;
2) His book from 1889, where he lays out the subject of statistics in a highly original way, derives the half-invariants (today known as cumulants), the notion of likelihood in the case of binomial experiments, the canonical form of the linear normal model, and develops model criticism via analysis of residuals.
3) An article from 1899 where he completes the theory of the half-invariants.
Thiele - Pioneer in Statistics also contains three papers, written by A. Hald and S.L. Lauritzen which describes Thiele's statistical work in modern terms and puts them into an historical perspective. The texts are supplemented with introductory material on Thiele's life and other interests, as well as with explanatory comments from the translator in the form of footnotes.
... beautifully-produced ... The book performs a valuable service in placing [Thiele's] role in statistics where it properly belongs.
Tartalomjegyzék:
Introduction to Thiele
On the Application of the Method of Least Squares to some Cases, in which a Combination of Certain Types of Inhomogeneous Random Sources of Errors gives these a "Systematic" Character
Time Series Analysis in 1880: A Discussion of Contributions made by T.N. Thiele
The General Theory of Observations: Calculus of Probability and the Method of Least Squares
T.N. Thiele's Contributions to Statistics
On the Halfinvariants of the Theory of Observations
The Early History of Cumulants and the Gram-Charlier Series
Epilogue
Bibliography
Index
