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Beieziešu Probit modelis×Beijesas vispārinātais lineārais modelis×
NozareStatistikaStatistika
SaimeRegression modelRegression model
Izcelsmes gads19931989 (GLM); 1995 (Bayesian BDA)
AutorsAlbert & Chib (data augmentation formulation)McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.
TipsBinary regression (Bayesian)Bayesian regression model
PirmavotsAlbert, J. H., & Chib, S. (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association, 88(422), 669-679. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Citi nosaukumiBayesian probit regression, probit model with data augmentation, Gibbs sampling probit, Albert-Chib probitBayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM
Saistītās66
KopsavilkumsThe Bayesian Probit model is a binary regression method that models the probability of a binary outcome using the normal CDF (probit link) within a Bayesian framework. It assigns prior distributions to regression coefficients and updates them with observed data, yielding a full posterior distribution rather than a single point estimate. The Albert-Chib data-augmentation algorithm makes posterior sampling computationally efficient via Gibbs sampling.A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome.
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ScholarGateSalīdzināt metodes: Bayesian Probit model · Bayesian Generalized Linear Model. Izgūts 2026-06-15 no https://scholargate.app/lv/compare