A History of Inverse Probability From Thomas Bayes to Karl Pearson
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1999, 1999
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| Edition: | 2nd ed. 1999 |
| Series: | Sources and Studies in the History of Mathematics and Physical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 7.11 Supplément: sur les approximations des formules
- 7.12 Sur les intégrales définies
- 7.13 Sur les comètes
- 7.14 Two memoirs
- 7.15 Théorie analytique des probabilités
- 7.16 Appendix 7.1
- 7.17 Appendix 7.2
- 7.18 Appendix 7.3
- 8 Poisson to Whitworth
- 8.1 Siméon-Denis Poisson (1781–1840)
- 8.2 John William Lubbock (1803–1865) & John Elliot Drinkwater-Bethune (1801–1851)
- 8.3 Bernard Bolzano (1781–1848)
- 8.4 Augustus de Morgan (1806–1871)
- 8.5 Irenée Jules Bienaymé (1796–1878)
- 8.6 Mikhail Vasil’evich Ostrogradski? (1801–1861)
- 8.7 Thomas Galloway (1796–1851)
- 8.8 Eugène Charles Catalan (1814–1894)
- 8.9 Jacob Friedrich Friess (1773–1843)
- 8.10 Antoine Augustin Cournot (1801–1877)
- 8.11 John Stuart Mill (1806–1873)
- 8.12 Lambert Adolphe Jacques Quetelet(1796–1874)
- 8.13 Mathurin-Claude-Charles Gouraud (1823-?)
- 8.14 Robert Leslie Ellis (1817–1859)
- 8.15 Viktor Yakovlevitch Buniakovski? (1804–1889)
- 1 On inverse probability
- 1.1 Introduction
- 1.2 Inverse problems
- 1.3 Inverse probability
- 2 Thomas Bayes: a biographical sketch
- 2.1 Appendix 2.1
- 2.2 Appendix 2.2
- 2.3 Appendix 2.3
- 2.4 Appendix 2.4
- 3 Bayes’s Essay
- 3.1 Introduction
- 3.2 Price’s introduction
- 3.3 The first section
- 3.4 The second section
- 3.5 The Appendix
- 3.6 Summary
- 4 Commentary on Bayes’s Essay
- 4.1 Introduction
- 4.2 Price’s introduction
- 4.3 The first section
- 4.4 The second section
- 4.5 The postulate and the scholium
- 4.6 The Appendix
- 4.7 Appendix 4.1
- 5 Miscellaneous Investigations from 1761 to 1822
- 5.1 Moses Mendelssohn (1729–1786)
- 5.2 Johann Heinrich Lambert (1728–1777)
- 5.3 Bayes and Price
- 5.4 John Michell (1724–1793)
- 5.5 Nicolas de Beguelin (1714–1789)
- 5.6 Joseph Louis de la Grange (1736–1813)
- 5.7 William Emerson (1701–1782)
- 5.8 George Louis Leclerc, Comte de Buffon (1707–1788)
- 5.9 Jean Trembley (1749–1811)
- 5.10 Pierre Prevost (1751–1839) & Simon Antoine Jean Lhuilier (1750–1840)
- 5.11 Carl Friedrich Gauss (1777–1855)
- 5.12 William Morgan (1750–1833)
- 5.13 Sylvestre François Lacroix (1765–1843)
- 5.14 Conclusions and Summary
- 5.15 Appendix 5.1
- 6 Condorcet
- 6.1 Introduction
- 6.2 Unpublished manuscripts
- 6.3 The Memoir
- 6.4 Probabilité, from the Encyclopédie Méitthodique
- 6.5 The Essay
- 6.6 Discours sur l’astronomie et le calcul des probabilités
- 6.7 Eléméns du calcul des probabilités
- 6.8 Appendix 6.1
- 6.9 Appendix 6.2
- 7 Laplace
- 7.1 Introduction
- 7.2 Sur les suites récurro-récurrentes
- 7.3 Sur la probabilité des causes
- 7.4 Sur l’intégration des équations différentielles
- 7.5 Recherches sur le milieu
- 7.6 Sur les probabilités
- 7.7 Sur les approximations des formules(suite)
- 7.8 Sur les naissances
- 7.9 Sur les probabilités
- 7.10 Sur les approximations des formules
- 9.18 Karl Pearson (1857–1936)
- 9.19 Miscellaneous
- 9.20 Appendix 9.1
- 9.21 Appendix 9.2
- Notes
- Epiphonema
- 8.16 William Fishburn Donkin (1814–1869)
- 8.17 George Boole (1815–1864)
- 8.18 Charles Hughes Terrot (1790–1872)
- 8.19 Anton Meyer (1802–1857)
- 8.20 Albert Wild
- 8.21 John Venn (1834–1923)
- 8.22 William Allen Whitworth (1840–1905)
- 9 Laurent to Pearson
- 9.1 Mathieu Paul Hermann Laurent (1841–1908)
- 9.2 Cecil James Monro (1833–1882)
- 9.3 William Stanley Jevons (1835–1882)
- 9.4 Rudolf Hermann Lotze (1817–1881)
- 9.5 Charles Saunders Peirce (1839–1914)
- 9.6 Bing’s paradox
- 9.7 A question of antisepticism
- 9.8 Francis Ysidro Edgeworth (1845–1926)
- 9.9 Charles Lutwidge Dodgson (1832–1898)
- 9.10 Morgan William Crofton (1826–1915)
- 9.11 Johannes von Kries(1853–1928)
- 9.12 George Francis Hardy (1855–1914)
- 9.13 Joseph Louis François Bertrand (1822–1900)
- 9.14 George Chrystal (1851–1911)
- 9.15 William Matthew Makeham (1826–1891)
- 9.16 Henri Poincaré (1854–1912)
- 9.17 Hugh MacColl (1837–1909)