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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Page 2
... denote a probability instead of the ratio of the number of favorable cases to the total number of cases, a/(a + b), say, where a and b are positive integers. This change of notation conceals the fact that nearly all the probabilities ...
... denote a probability instead of the ratio of the number of favorable cases to the total number of cases, a/(a + b), say, where a and b are positive integers. This change of notation conceals the fact that nearly all the probabilities ...
Page 8
... denoting formula (25) in §5 of Chap. 20. Within a chapter the chapter number is omitted so that only section and formula numbers are given. 1.3 A COMPARISON WITH TODHUNTER'S BOOK The unquestioned authority on the early history of ...
... denoting formula (25) in §5 of Chap. 20. Within a chapter the chapter number is omitted so that only section and formula numbers are given. 1.3 A COMPARISON WITH TODHUNTER'S BOOK The unquestioned authority on the early history of ...
Page 39
... denote the occurrence of at least one ace, let 2 denote the occurrence of at least one ace or a deuce, and so on. Counting only disjoint cases, Cardano gives the result as shown in the following table: Favorable Cases for Combination of ...
... denote the occurrence of at least one ace, let 2 denote the occurrence of at least one ace or a deuce, and so on. Counting only disjoint cases, Cardano gives the result as shown in the following table: Favorable Cases for Combination of ...
Page 53
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Contents
| 1 | |
| 13 | |
| 28 | |
| 33 | |
| 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 |
Other editions - View all
A History of Probability and Statistics and Their Applications before 1750 Anders Hald Limited preview - 2005 |
A History of Probability and Statistics and Their Applications before 1750 Anders Hald Limited preview - 2005 |
Common terms and phrases
according analysis annuities applications approximation becomes beginning Bernoulli binomial calculated cards century chance coincidence combinations compared considers contains continues corresponding deaths denote depends derived dice difference difference equation discussion distribution Doctrine edition equals equation error estimate example expectation expressed find first formula four function given gives Graunt Huygens important indicated integral interest James Laplace later leads least letter limits linear lives London mathematics means mentioned method Moivre Moivre’s Montmort mortality natural Nicholas Bernoulli notes observations obtained Pascal persons play players points probability probability of winning probability theory problem proof Proposition prove published random ratio reader reasoning recursion refer relation remarks respectively rule shows solution solved stake statistical successive theorem third throws writes yearly
Popular passages
Page 175 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 116 - From these Considerations I have formed the adjoyned Table, whose Uses are manifold, and give a more just Idea of the State and Condition of Mankind, than any thing yet extant that I know of.
Page 183 - There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning; and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had.
Page 105 - The Method I take to do this is not yet very usual; for instead of using only comparative and superlative words and intellectual Arguments, I have taken the course (as a Specimen of the Political Arithmetick, I have long aimed at) to express myself in Terms of Number, Weight or Measure; to use only Arguments of Sense...
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Page 590 - Second Edition JOHNSON, KOTZ, and BALAKRISHNAN . Continuous Univariate Distributions, Volume 2, Second Edition JOHNSON, KOTZ, and BALAKRISHNAN...
Page 589 - A Guide for Practitioners HALD • A History of Probability and Statistics and their Applications Before 1750...
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Page 188 - In the testimony of others is to be considered, 1. The number. 2. The integrity. 3. The skill of the witnesses. 4. The design of the author, where it is a testimony out of a book cited. 5. The consistency of the parts and circumstances of the relation. 6. Contrary testimonies.
Page 277 - Contrivance, we must observe that the external Accidents to which Males are subject (who must seek their Food with danger) do make a great havock of them...
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 |