A History of Inverse Probability: From Thomas Bayes to Karl Pearson, 2nd edition
This a history of the use of Bayes' theorem over 150 years, from its discovery by Thomas Bayes to the rise of the statistical competitors in the first third of the twentieth century. In the new edition, the author's concern is the foundations of statistics, in particular, the examination of the development of one of the fundamental aspects of Bayesian statistics. The reader will find new sections on contributors to the theory omitted from the first edition, which will shed light on the use of inverse probability by nineteenth century authors. In addition, there is amplified discussion of relevant work from the first edition. This text will be a valuable reference source in the wider field of the history of statistics and probability.
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application approximation argument assumption Bayes's Essay Bayes's Theorem Bernoulli Bernoulli's Theorem beta-function bility black balls Boole Boole's boules calcul causes chance chapter conditional probability Condorcet considered Cournot d'une Daniel Bernoulli deduces denote determination discussion distribution Doctrine of Chances drawing drawn Edgeworth edition egalement equally probable error evenemens example expression fact formula further given Hailperin happen hasards hence hypotheses independent integral inverse probability inverse problem John Canton Keynes l'evenement l'on Laplace Laplace's large number limits mathematical meme memoir method Michell's Moivre Morgan nombre notation notes observed event obtained occur paper Pearson peut Poisson possible posterior posterior probabilities Price principle priori probability prob proba probabilite proposition published qu'il question R.A. Fisher ratio respectively result resultats rule of succession scholium Sheynin solution statistical Stigler suppose theory Thomas Bayes Todhunter 1865 trials unknown urn problem valeur white ball writes
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