Abstract
Irénée Jules Bienaymé (1796–1878) proposes to generalize Laplace’s inverse probability analysis of the binomial. Using the principle of inverse probability on the multinomial he gets the posterior distribution
where the ns are nonnegative integers and Σn i = n. In normed form this distribution is today called the Dirichlet distribution. The posterior mode is h i = n i /n, Σh i = 1.
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(2007). The Multivariate Posterior Distribution. In: A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-0-387-46409-1_9
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DOI: https://doi.org/10.1007/978-0-387-46409-1_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-46408-4
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