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Bayes'i latentklassanalüüs (BLCA)×Bayesi segamudelöörimine×
ValdkondStatistikaStatistika
PerekondLatent structureLatent structure
Tekkeaasta1990s–2000s1997 (Richardson & Green Bayesian formulation)
LoojaLazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009)Richardson & Green (seminal Bayesian treatment, 1997); broader Bayesian mixture roots trace to Dempster, Laird & Rubin (EM, 1977) and Titterington, Smith & Makov (1985)
TüüpBayesian latent variable / finite mixture modelLatent-class / model-based clustering
AlgallikasDunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗Fruhwirth-Schnatter, S., Celeux, G. & Robert, C. P. (Eds.) (2019). Handbook of Mixture Analysis. CRC Press / Chapman & Hall. ISBN: 9780367733995
RööpnimetusedBayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture modelBayesian mixture model, BMM, Bayesian model-based clustering, Bayesian finite mixture
Seotud64
KokkuvõteBayesian 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.Bayesian mixture modeling represents the population as a weighted sum of K component distributions and estimates all unknowns — mixing weights, component parameters, and even the number of components — through posterior inference. It extends classical mixture analysis by placing priors on every parameter and quantifying uncertainty over latent group assignments rather than treating them as fixed.
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ScholarGateVõrdle meetodeid: Bayesian Latent Class Analysis · Bayesian Mixture Modeling. Loetud 2026-06-15 aadressilt https://scholargate.app/et/compare