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The Federalist Papers As a Case Study
Words and Their Distributions
3A Independence of words from one block of text to another
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30 words adjustment analysis applied assumptions asymptotic authorship problem average Bayes Bayesian beta distribution calibrating set cent Chapter choice CN CN computation contextual correction correlation counts discrimination disputed papers evaluation evidence example Federalist papers final odds function words given Hamilton and Madison Hamilton Madison Hamilton markers Hamilton papers high-frequency words independent initial odds Ivor Francis known authorship likelihood function likelihood ratio logarithm low-frequency words Madison markers Madison papers main study marker words mean rate methods modal approximation mode negative binomial distribution non-Poissonness normally distributed odds factor paper length paper of length papers of known parameters Poisson distribution Poisson model posterior density posterior distribution predictions prior density prior distributions probability random variable sample score screening set Section sets of underlying shown in Table standard deviations statistical theorem total log odds underlying constants unknown paper variance variation word groups writing zero