## A History of Probability and Statistics and Their Applications Before 1750WILEY-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." |

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### 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 |

549 | |

571 | |

### Other editions - View all

A History of Probability and Statistics and Their Applications before 1750 Anders Hald Limited preview - 2005 |

### Common terms and phrases

analysis annuities approximation Arbuthnott astronomers banker binomial distribution calculated Cardano cards christenings coefﬁcients combinatorial Conjectandi considers corresponding deﬁned deﬁnition denote derived dice difference equation difﬁcult discussion Doctrine of Chances duration of play equals error example Fermat ﬁnd ﬁnding ﬁnite ﬁrst ﬁve function Galileo games of chance gives Graunt Halley Halley’s Huygens hypothesis integral James Bernoulli John Bernoulli Kepler Laplace Leibniz letter linear London mathematicians mathematics means method Moivre Moivre’s Montmort mortality n games Newton Nicholas Bernoulli notation number of burials number of chances number of deaths number of male number of permutations number of points observations obtained ofthe paper Pascal players polynomial probability of winning probability theory problem of points proof Proposition prove published random ratio recursion recursion formula Romsey second edition Simpson solution solved stake statistical Struyck throws Todhunter total number Witt writes yearly number

### References to this book

Univariate Discrete Distributions Norman L. Johnson,Adrienne W. Kemp,Samuel Kotz Limited preview - 2005 |

Einführung in die Wahrscheinlichkeitstheorie und Statistik: Für Studium ... Ulrich Krengel No preview available - 2005 |