A History of Probability and Statistics and Their Applications Before 1750

ISBN-13: 9780471471295 / Angielski / Miękka / 2003 / 586 str.

Anders Hald

Opis

WILEY-INTERSCIENCE PAPERBACK SERIES

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

From the Reviews of History of Probability and Statistics and Their Applications before 1750

"This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource."
-Short Book Reviews of ISI

Recenzje

"...the account goes into great detail...very accessible...useful for teachers..." ( Short Book Reviews, Vol 24(1), 2004)

Spis treści

1. The Book and Its Relation to Other Works.

2. A Sketch of the Background in Mathematics and Natural Philosophy.

3. Early Concepts of Probability and Chance.

4. Cardano and Liber de Ludo Aleae, c. 1565.

5. The Foundation of Probability Theory by Pascal and Fermat in 1654.

6. Huygens and De Ratiociniis in Ludo Aleae, 1657.

7. John Graunt and the Observations Made upon the Bills of Mortality, 1662.

8. The Probabilistic Interpretation of Graunt′s Life Table.

9. The Early History of Life Insurance Mathematics.

10. Mathematical Models and Statistical Methods in Astronomy from Hipparchus to Kepler and Galileo. 

11. The Newtonian Revolution in Mathematics and Science.

12. Miscellaneous Contributions Between 1657 and 1708.

13. The Great Leap Forward, 1708 – 1718: A Survey.

14. New Solutions to Old Problems, 1708 – 1718.

15. James Bernoulli and Ars Conjectandi, 1713.

16. Bernoulli′s Theorem.

17. Tests of Significance Based on the Sex Ratio at Birth and the Binomial Distribution, 1712 – 1713.

18. Montmort and the Essay d′Analyse sur les Jeux de Hazard, 1708 and 1713.

19. The Problem of Coincidences and the Compound Probability Theorem.

20. The Problems of the Duration of Play, 1708 1718.

21. Nicholas Bernoulli.

22. De Moivre and the Doctrine of Chances, 1718, 1738, and 1756.

23. The Problem of the Duration of Play and the Method of Difference Equations.

24. De Moivre′s Normal Approximation to the Binomial Distribution, 1733.

25. The Insurance Mathematics of de Moivre and Simpson, 1725–1756.

References.

Index.