A History of Probability and Statistics and Their Applications before 1750

Front Cover
John Wiley & Sons, Feb 25, 2005 - Mathematics - 612 pages
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

 

Contents

1 The Book and Its Relation to Other Works
1
2 A Sketch of the Background in Mathematics and Natural Philosophy
13
3 Early Concepts of Probability and Chance
28
4 Cardano and Liber de Ludo Aleae c 1565
33
5 The Foundation of Probability Theory by Pascal and Fermat in 1654
42
6 Huygens and De Ratiociniis in Ludo Aleae 1657
65
7 John Graunt and the Observations Made upon the Bills of Mortality 1662
81
8 The Probabilistic Interpretation of Graunts Life Table
106
15 James Bernoulli and Ars Conjectandi 1713
220
16 Bernoullis Theorem
257
17 Tests of Significance Based on the Sex Ratio at Birth and the Binomial Distribution 17121713
275
18 Montmort and the Essay dAnalyse sur les Jeux de Hazard 1708 and 1713
286
19 The Problem of Coincidences and the Compound Probability Theorem
326
20 The Problem of the Duration of Play 17081718
347
21 Nicholas Bernoulli
375
22 De Moivre and the Doctrine of Chances 1718 1738 and 1756
397

9 The Early History of Life Insurance Mathematics
116
10 Mathematical Models and Statistical Methods in Astronomy from Hipparchus to Kepler and Galileo
144
11 The Newtonian Revolution in Mathematics and Science
170
12 Miscellaneous Contributions between 1657 and 1708
183
13 The Great Leap Forward 17081718 A Survey
191
14 New Solutions to Old Problems 17081718
196
23 The Problem of the Duration of Play and the Method of Difference Equations
425
24 De Moivres Normal Approximation to the Binomial Distribution 1733
468
25 The insurance Mathematics of de Moivre and Simpson 17251756
508
References
549
Index
571
Copyright

Other editions - View all

Common terms and phrases

About the author (2005)

Anders Hald was formerly a Professor of Statistics at the University of Copenhagen in Denmark.

Bibliographic information