विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| बायेसियन सामान्यीकृत रैखिक मॉडल× | बेयसियन लॉजिस्टिक रिग्रेशन× | |
|---|---|---|
| क्षेत्र≠ | सांख्यिकी | बायेसियन |
| परिवार≠ | Regression model | Bayesian methods |
| उद्भव वर्ष≠ | 1989 (GLM); 1995 (Bayesian BDA) | 2008 |
| प्रवर्तक≠ | McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al. | Gelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008) |
| प्रकार≠ | Bayesian regression model | Bayesian classification model |
| मौलिक स्रोत≠ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Gelman, A., Jakulin, A., Pittau, M. G. & Su, Y.-S. (2008). A Weakly Informative Default Prior Distribution for Logistic and Other Regression Models. Annals of Applied Statistics, 2(4), 1360–1383. DOI ↗ |
| उपनाम≠ | Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM | bayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon |
| संबंधित≠ | 6 | 3 |
| सारांश≠ | A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome. | Bayesian logistic regression is a classification model that applies Bayesian inference to a logistic (sigmoid) likelihood for binary or multinomial outcomes. Developed within the weakly-informative prior framework formalised by Gelman, Jakulin, Pittau and Su (2008), it places a prior distribution over the coefficients and combines that prior with the data likelihood to yield a full posterior distribution for each parameter — delivering calibrated class probabilities and honest uncertainty even in small samples, rare-event settings, or cases of complete separation where frequentist maximum likelihood estimation collapses. |
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