A history of inverse probability: from Thomas Bayes to Karl Pearson
This is a history of the use of Bayes' theorem -- from 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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a biographical sketch
Commentary on Bayess Essay
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analytique application approximation argument assumption Bayes's Essay Bayes's Theorem Bernoulli Bernoulli's Theorem black balls Boole boules calcul calcul des probabilités causes chance Chapter Condorcet considers d'une Daniel Bernoulli deduces denotes determined discussion distribution Doctrine of Chances drawing egalement equipossibility erreurs error évènemens événements example expression Fabry fact formula further future events given happened hasards hypothesis integral inverse probability John Canton Keynes l'événement l'on Laplace Laplace's Laplace's formula large number limits mathematical memoir method Moivre Morgan notes number of white obtained occur paper Pearson peut Poisson possibilité possible posterior posterior probability Price principle priori probability prob proba probabilité problem Proposition published qu'il question ratio respectively result résultats rule of succession scholium Sheynin simple events solution stars Stigler suppose theory Thomas Bayes tion Todhunter 1865 trials unknown urn containing urn problem valeur white balls writes