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क्रेडिबिलिटी थ्योरी×ऋणात्मक द्विपद समाश्रयण (Negative Binomial Regression)×
क्षेत्रबीमांकिक विज्ञानअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष19672011
प्रवर्तकHans BühlmannHilbe (textbook treatment); generalized linear model framework
प्रकारWeighted linear blend of individual and collective experienceGeneralized linear model for count data
मौलिक स्रोतBühlmann, H. (1967). Experience rating and credibility. ASTIN Bulletin, 4(3), 199–207. DOI ↗Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗
उपनामBühlmann Credibility, Experience Rating, Linear Credibility Estimator, Güvenilirlik TeorisiNB regression, NB2 regression, negatif binom regresyonu
संबंधित34
सारांशCredibility Theory is an actuarial framework for estimating the pure premium of an individual risk by blending its own observed loss experience with the collective (portfolio) mean. Introduced by Hans Bühlmann in 1967, the method derives the optimal linear combination—the credibility-weighted premium—that minimises mean squared error. It extends classical experience rating to a rigorous statistical footing rooted in Bayesian and linear estimation principles.Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data.
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