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	Bayesian Cluster Analysis	बेयसियन मिश्रण मॉडलिंग
क्षेत्र	सांख्यिकी	सांख्यिकी
परिवार	Latent structure	Latent structure
उद्भव वर्ष	1998–2002	1997 (Richardson & Green Bayesian formulation)
प्रवर्तक	Fraley & Raftery (model-based); Dirichlet process formulations by Ferguson (1973) and Antoniak (1974)	Richardson & Green (seminal Bayesian treatment, 1997); broader Bayesian mixture roots trace to Dempster, Laird & Rubin (EM, 1977) and Titterington, Smith & Makov (1985)
प्रकार	Probabilistic / model-based clustering	Latent-class / model-based clustering
मौलिक स्रोत	Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631.	Fruhwirth-Schnatter, S., Celeux, G. & Robert, C. P. (Eds.) (2019). Handbook of Mixture Analysis. CRC Press / Chapman & Hall. ISBN: 9780367733995
उपनाम	BCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering	Bayesian mixture model, BMM, Bayesian model-based clustering, Bayesian finite mixture
संबंधित	6	4
सारांश	Bayesian cluster analysis assigns observations to latent groups by combining a probabilistic model of within-cluster data with prior beliefs about cluster parameters and the number of clusters. It yields posterior probabilities of cluster membership and principled uncertainty estimates, making it more transparent than classical distance-based clustering algorithms.	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.