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Bayesian discriminant analysis×Bayes'i latentklassanalüüs (BLCA)×
ValdkondStatistikaStatistika
PerekondLatent structureLatent structure
Tekkeaasta19641990s–2000s
LoojaSeymour GeisserLazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009)
TüüpSupervised classification / Bayesian inferenceBayesian latent variable / finite mixture model
AlgallikasGeisser, S. (1964). Posterior odds for multivariate normal classifications. Journal of the Royal Statistical Society, Series B, 26(1), 69–76. link ↗Dunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗
RööpnimetusedBDA, Bayesian linear discriminant analysis, Bayesian quadratic discriminant analysis, Bayesian classificationBayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model
Seotud46
KokkuvõteBayesian discriminant analysis assigns observations to predefined groups by combining a multivariate Gaussian likelihood for each class with prior distributions over the class means and covariance matrices. Posterior predictive probabilities replace point-estimate decision boundaries, providing principled uncertainty quantification for classification in small or high-dimensional samples.Bayesian latent class analysis extends classical LCA by placing prior distributions on all model parameters and using posterior inference — typically via MCMC — to classify individuals into unobserved categorical groups, quantify uncertainty around class membership, and select the number of classes in a principled, probabilistic way.
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ScholarGateVõrdle meetodeid: Bayesian Discriminant Analysis · Bayesian Latent Class Analysis. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare