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Bayesian logistic regression analysis
Author(s) -
N. van Erp,
Pieter van Gelder
Publication year - 2013
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.4819994
Subject(s) - logistic regression , posterior probability , bayesian linear regression , statistics , mathematics , bayesian probability , event (particle physics) , bayes' theorem , prior probability , regression analysis , jacobian matrix and determinant , econometrics , computer science , bayesian inference , physics , quantum mechanics
In this paper we present a Bayesian logistic regression analysis. It is found that if one wishes to derive the posterior distribution of the probability of some event, then, together with the traditional Bayes Theorem and the integrating out of nuissance parameters, the Jacobian transformation is an essential added ingredient. The application of the product rule gives the posterior of the unknown logistic regression coefficients. The Jacobian transformation then maps the posterior of these regression coefficients to the posterior of the corresponding probability of some event and some nuisance parameters. Finally, by way of the sumrule the nuissance parameters are integrated out

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