A History of Inverse Probability: From Thomas Bayes to Karl Pearson (Sources and Studies in the History of Mathematics and Physical Sciences 2nd ed. 1

A History of Inverse Probability: From Thomas Bayes to Karl Pearson (Sources and Studies in the History of Mathematics and Physical Sciences 2nd ed. 1

By: Andrew I. Dale (author)Paperback

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Description

This is a history of the use of Bayes theoremfrom its discovery by Thomas Bayes to the rise of the statistical competitors in the first part of the twentieth century. The book focuses particularly on the development of one of the fundamental aspects of Bayesian statistics, and in this new edition readers will find new sections on contributors to the theory. In addition, this edition includes amplified discussion of relevant work.

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Contents

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.- 5.3.1 Bayes's paper on divergent series.- 5.3.2 The supplement to the Essay.- 5.3.3 Bayes's Notebook.- 5.3.4 Price's Four Dissertations.- 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 Francois Lacroix (1765-1843).- 5.14 Conclusions and Summary.- 5.15 Appendix 5.1.- 6 Condorcet.- 6.1 Introduction.- 6.2 Unpublished manuscripts.- 6.3 The Memoir.- 6.4 Probabilite, from the Encyclopedie Meitthodique.- 6.5 The Essay.- 6.6 Discours sur l'astronomie et le calcul des probabilites.- 6.7 Elemens du calcul des probabilites.- 6.8 Appendix 6.1.- 6.9 Appendix 6.2.- 7 Laplace.- 7.1 Introduction.- 7.2 Sur les suites recurro-recurrentes.- 7.3 Sur la probabilite des causes.- 7.4 Sur l'integration des equations differentielles.- 7.5 Recherches sur le milieu.- 7.6 Sur les probabilites.- 7.7 Sur les approximations des formules (suite).- 7.8 Sur les naissances.- 7.9 Sur les probabilites.- 7.10 Sur les approximations des formules.- 7.11 Supplement: sur les approximations des formules.- 7.12 Sur les integrales definies.- 7.13 Sur les cometes.- 7.14 Two memoirs.- 7.15 Theorie analytique des probabilites.- 7.15.1 Introduction.- 7.15.2 Livre 1: Calcul des fonctions generatrices.- 7.15.3 Livre 2: Theorie generale des probabilites.- 7.16 Appendix 7.1.- 7.17 Appendix 7.2.- 7.18 Appendix 7.3.- 8 Poisson to Whitworth.- 8.1 Simeon-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 Irenee Jules Bienayme (1796-1878).- 8.6 Mikhail Vasil'evich Ostrogradski? (1801-1861).- 8.7 Thomas Galloway (1796-1851).- 8.8 Eugene 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).- 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 Francois Bertrand (1822-1900).- 9.14 George Chrystal (1851-1911).- 9.15 William Matthew Makeham (1826-1891).- 9.16 Henri Poincare (1854-1912).- 9.17 Hugh MacColl (1837-1909).- 9.18 Karl Pearson (1857-1936).- 9.19 Miscellaneous.- 9.20 Appendix 9.1.- 9.21 Appendix 9.2.- Notes.- Epiphonema.

Product Details

  • publication date: 04/06/1999
  • ISBN13: 9780387988078
  • Format: Paperback, Hardback
  • Number Of Pages: 695
  • ID: 9780387988078
  • weight: 1150
  • ISBN10: 0387988076
  • edition: 2nd ed. 1999

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