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| Μπεϋζιανή Ανάλυση Λανθανουσών Κλάσεων (BLCA)× | Μοντελοποίηση Μίγματος× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Latent structure | Latent structure |
| Έτος προέλευσης≠ | 1990s–2000s | 1894 |
| Δημιουργός≠ | Lazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009) | Karl Pearson |
| Τύπος≠ | Bayesian latent variable / finite mixture model | Latent variable / density estimation |
| Θεμελιώδης πηγή≠ | Dunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗ | McLachlan, G. J. & Peel, D. (2000). Finite Mixture Models. Wiley-Interscience. ISBN: 978-0471006268 |
| Εναλλακτικές ονομασίες | Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model | finite mixture model, mixture distribution model, FMM, model-based clustering |
| Συναφείς | 6 | 6 |
| Σύνοψη≠ | 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. | Mixture modeling assumes that a population is composed of K unobserved subpopulations, each described by its own probability distribution. The observed data are treated as draws from a weighted combination of these component distributions. It provides a principled, model-based alternative to ad hoc clustering and supports formal comparison of solutions with different numbers of components. |
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