Σύγκριση μεθόδων

	Εκτίμηση Πυκνότητας Πυρήνα με Μπεϋζιανή Προσέγγιση	Bayesian Spatial Regression
Πεδίο	Χωρική Ανάλυση	Χωρική Ανάλυση
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	1995	1990s–2000s
Δημιουργός	Hjort & Glad (1995); extended by various authors in Bayesian nonparametrics	Banerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors
Τύπος	Nonparametric density estimation	Bayesian hierarchical regression
Θεμελιώδης πηγή	Hjort, N. L., & Glad, I. K. (1995). Nonparametric density estimation with a parametric start. The Annals of Statistics, 23(3), 882–904.	Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173
Εναλλακτικές ονομασίες	Bayesian KDE, BKDE, Bayesian nonparametric density estimation, Bayesian adaptive KDE	Bayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model
Συναφείς	5	3
Σύνοψη	Bayesian Kernel Density Estimation (BKDE) is a nonparametric method for estimating the probability density function of a spatial or attribute variable by combining a kernel smoother with a Bayesian prior over the bandwidth parameter. The posterior distribution of the bandwidth propagates uncertainty into the final density estimate rather than treating the bandwidth as a fixed tuning constant.	Bayesian Spatial Regression embeds a spatially structured random effect into a regression framework and estimates all parameters — including spatial range and variance — through posterior inference rather than point estimation. It handles spatial autocorrelation, quantifies full predictive uncertainty, and accommodates small or irregular spatial datasets via hierarchical priors.