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Beieziešu maisījuma modelēšana×Beieziešu latentās klases analīze (BLCA)×
NozareStatistikaStatistika
SaimeLatent structureLatent structure
Izcelsmes gads1997 (Richardson & Green Bayesian formulation)1990s–2000s
AutorsRichardson & Green (seminal Bayesian treatment, 1997); broader Bayesian mixture roots trace to Dempster, Laird & Rubin (EM, 1977) and Titterington, Smith & Makov (1985)Lazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009)
TipsLatent-class / model-based clusteringBayesian latent variable / finite mixture model
PirmavotsFruhwirth-Schnatter, S., Celeux, G. & Robert, C. P. (Eds.) (2019). Handbook of Mixture Analysis. CRC Press / Chapman & Hall. ISBN: 9780367733995Dunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗
Citi nosaukumiBayesian mixture model, BMM, Bayesian model-based clustering, Bayesian finite mixtureBayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model
Saistītās46
KopsavilkumsBayesian 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.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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ScholarGateSalīdzināt metodes: Bayesian Mixture Modeling · Bayesian Latent Class Analysis. Izgūts 2026-06-15 no https://scholargate.app/lv/compare