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A History of Inverse Probability : From Thomas Bayes to Karl Pearson / by Andrew I. Dale
(Studies in the History of Mathematics and Physical Sciences ; 16)

データ種別 電子ブック
出版者 New York, NY : Springer US
出版年 1991
本文言語 英語
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EB0077439

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内容注記 1 Thomas Bayes: a biographical sketch
1.1 Appendix 1.1
1.2 Appendix 1.2
1.3 Appendix 1.3
1.4 Appendix 1.4
2 Bayes’s Essay
2.1 Introduction
2.2 Price’s introduction
2.3 The first section
2.4 The second section
2.5 The Appendix
2.6 Summary
3 Commentary on Bayes’s Essay
3.1 Introduction
3.2 Price’s introduction
3.3 The first section
3.4 The second section
3.5 The postulate and the scholium
3.6 The Appendix
3.7 Appendix 3.1
4 Miscellaneous Investigations from 1761 to 1822
4.1 Moses Mendelssohn (1729–1786)
4.2 Bayes and Price
4.3 John Michell (1724–1793)
4.4 Nicolas de Beguelin (1714–1789)
4.5 Joseph Louis de la Grange (1736–1813)
4.6 William Emerson (1701–1782)
4.7 George Louis Leclerc, Comte de Buffon (1707–1788)
4.8 Jean Trembley (1749–1811)
4.9 Pierre Prevost (1751–1839) & Simon Antoine Jean Lhuilier (1750–1840)
4.10 Carl Friedrich Gauss (1777–1855)
4.11 William Morgan (1750–1833)
4.12 Sylvestre FranÇois Lacroix (1765–1843)
4.13 Conclusions and Summary
4.14 Appendix 4.1
5 Condorcet
5.1 Introduction
5.2 Unpublished manuscripts
5.3 The Memoir
5.4 Probabilité, from the Encyclopédie Méthodique
5.5 The Essay
5.6 Discours sur l’astronomie et le calcul des probabilités
5.7 Eléméns du calcul des probabilités
5.8 Appendix 5.1
6 Laplace
6.1 Introduction
6.2 Sur les suites récurro-récurrentes
6.3 Sur la probabilité des causes
6.4 Sur l’intégration des équations différentielles
6.5 Sur les probabilités
6.6 Sur les approximations des formules (suite)
6.7 Sur les naissances
6.8 Sur les probabilités
6.9 Sur les approximations des formules
6.10 Supplément: sur les approximations des formules
6.11 Sur les intégrales définies
6.12 Sur les comètes
6.13 Two memoirs
6.14 Théorie analytique des probabilités
6.15 Appendix 6.1
6.16 Appendix 6.2
6.17 Appendix 6.3
7 Poisson to Venn
7.1 Siméon-Denis Poisson (1781–1840)
7.2 John William Lubbock (1803–1865) & John Elliot Drinkwater-Bethune (1801–1851)
7.3 Bernard Bolzano (1781–1848)
7.4 Augustus de Morgan (1806–1871)
7.5 Irenée Jules Bienaymé (1796–1878)
7.6 Mikhail Vasil’evich Ostrogradski? (1801–1861)
7.7 Thomas Galloway (1796–1851)
7.8 Eugène Charles Catalan (1814–1894)
7.9 Jacob Friedrich Friess (1773–1843)
7.10 Antoine Augustin Cournot (1801–1877)
7.11 John Stuart Mill (1806–1873)
7.12 Mathurin-Claude-Charles Gouraud (1823 – ?)
7.13 Robert Leslie Ellis (1817–1859)
7.14 William Fishburn Donkin (1814–1869)
7.15 George Boole (1815–1864)
7.16 Charles Hughes Terrot (1790–1872)
7.17 Anton Meyer (1802–1857)
7.18 Albert Wild
7.19 John Venn (1834–1923)
8 Laurent to Pearson
8.1 Mathieu Paul Hermann Laurent (1841–1908)
8.2 Cecil James Monro (1833–1882)
8.3 William Stanley Jevons (1835–1882)
8.4 Rudolf Hermann Lotze (1817–1881)
8.5 Bing’s paradox
8.6 A question of antisepticism
8.7 Francis Ysidro Edgeworth (1845–1926)
8.8 Morgan William Crofton (1826–1915)
8.9 Johannes von Kries (1853–1928)
8.10 George Francis Hardy (1855–1914)
8.11 Joseph Louis FranÇois Bertrand (1822–1900)
8.12 George Chrystal (1851–1911)
8.13 William Matthew Makeham (1826–1891)
8.14 Karl Pearson (1857–1936)
8.15 Miscellaneous
8.16 Appendix 8.1
8.17 Appendix 8.2
Notes
Epiphonema
一般注記 It is thought as necessary to write a Preface before a Book, as it is judged civil, when you invite a Friend to Dinner, to proffer him a Glass of Hock beforehand for a Whet. John Arbuthnot, from the preface to his translation of Huygens's "De Ratiociniis in Ludo Alooe". Prompted by an awareness of the importance of Bayesian ideas in modern statistical theory and practice, I decided some years ago to undertake a study of the development and growth of such ideas. At the time it seemed appropriate to begin such an investigation with an examination of Bayes's Essay towards solving a problem in the doctrine of chances and Laplace's Theorie analytique des probabilites, and then to pass swiftly on to a brief consideration of other nineteenth century works before turning to what would be the main topic of the treatise, videlicet the rise of Bayesian statis­ tics from the 1950's to the present day. It soon became apparent, however, that the amount of Bayesian work published was such that a thorough investigation of the topic up to the 1980's would require several volumes - and also run the risk of incurring the wrath of extant authors whose writings would no doubt be misrepre­ sented, or at least be so described. It seemed wise, therefore, to restrict the period and the subject under study in some way, and I decided to con­ centrate my attention on inverse probability from Thomas Bayes to Karl Pearson
著者標目 *Dale, Andrew I. author
SpringerLink (Online service)
件　名 LCSH:Statistics
LCSH:Probabilities
FREE:Statistics
FREE:Statistics, general
FREE:Probability Theory and Stochastic Processes
分　類 DC23:519.5
巻冊次 ISBN:9781468404159 REFWLINK
ISBN 9781468404159
URL http://dx.doi.org/10.1007/978-1-4684-0415-9
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