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| Anàlisi Bayesiana de Classes Latents (BLCA)× | Modelatge bayesià de barreges× | |
|---|---|---|
| Camp | Estadística | Estadística |
| Família | Latent structure | Latent structure |
| Any d'origen≠ | 1990s–2000s | 1997 (Richardson & Green Bayesian formulation) |
| Autor original≠ | Lazarsfeld (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) |
| Tipus≠ | Bayesian latent variable / finite mixture model | Latent-class / model-based clustering |
| Font seminal≠ | Dunson, 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 |
| Àlies | Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model | Bayesian mixture model, BMM, Bayesian model-based clustering, Bayesian finite mixture |
| Relacionats≠ | 6 | 4 |
| Resum≠ | 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. | 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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