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Regresi Linear Mudah Bayesian×Regresi Kuantil Bayesian×
BidangStatistikStatistik
KeluargaRegression modelRegression model
Tahun asalEarly 19th century; textbook synthesis 20132001–2011
PengasasLaplace, P.-S. (early 19th c.); modern treatment: Gelman et al.Kozumi & Kobayashi; building on Yu & Moyeed (2001)
JenisBayesian linear regressionBayesian semiparametric regression
Sumber perintisGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Kozumi, H., & Kobayashi, G. (2011). Gibbs sampling methods for Bayesian quantile regression. Journal of Statistical Computation and Simulation, 81(11), 1565–1578. DOI ↗
AliasBayesian SLR, Bayesian univariate regression, probabilistic simple linear regression, Bayesian linear modelBQR, Bayesian quantile regression model, asymmetric Laplace Bayesian regression, posterior quantile regression
Berkaitan66
RingkasanBayesian Simple Linear Regression models the relationship between a continuous outcome and a single predictor by combining a Gaussian likelihood with prior distributions over the intercept, slope, and error variance. The result is a full posterior distribution over all parameters, providing probabilistic uncertainty quantification rather than a single point estimate.Bayesian Quantile Regression estimates the full posterior distribution of regression coefficients at any chosen quantile of the outcome. By combining the asymmetric Laplace likelihood with prior distributions over the coefficients, it delivers uncertainty-quantified estimates of conditional quantiles — such as the median, the 10th, or the 90th percentile — without assuming Gaussian errors.
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ScholarGateBandingkan kaedah: Bayesian Simple linear regression · Bayesian Quantile Regression. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare