A history of probability and statistics and their applications before 1750
著者
書誌事項
A history of probability and statistics and their applications before 1750
（Wiley series in probability and mathematical statistics, . Probability and mathematical statistics）（A Wiley-Interscience publication）
Wiley, c1990
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注記
Bibliography: p. 549-570
Includes index
内容説明・目次
内容説明
This book gives an account of the early development of probability theory and games of chance, statistics in astronomy and demography, and life insurance mathematics. It explores the life and achievements of those who made pre-eminent contributions to the field prior to 1750 and includes a discussion of how the manner and methods of problem-solving have evolved.
目次
- The book and its relation to other works
- a sketch of the background in mathematics and natural philosophy
- early concepts of probability and chance
- Cardano and "Liber de Ludo Aleae", 1657
- John Graunt and the observations made upon the Bills of Morality, 1662
- the probabilistic interpretation of Graunt's life table
- the early history of life insurance mathematics
- mathematical models and statistical methods in astronomy
- the Newtonian Revolution in mathematics and science
- miscellaneous contributions between 1657 and 1708
- the great leap forward, 1708-1718 - a survey
- new solutions of old problems, 1708-1718
- James Bernoulli and "Ars Conjectandi", 1713
- Bernoulli's theorem
- tests of significance based on sex ratio at birth and the binomial distribution, 1710-1713
- Montmort and the "Essay d`Analyse sur les Jeux de Hazard", 1708 and 1713
- the problem of coincidences and the compound probability theorem
- the problem of the duration of play, 1708-1718
- Nicholas Bernoulli
- De Moivre and the "Doctrine of Chances", 1718, 1738 and 1756.
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