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Generalized Additive Models; Some Applications
Journal of the American Statistical Association, 1985Abstract Generalized additive models have the form η(x) = α + σ fj (x j ), where η might be the regression function in a multiple regression or the logistic transformation of the posterior probability Pr(y = 1 | x) in a logistic regression. In fact, these models generalize the whole family of generalized linear models η(x) = β′x, where η(x) = g(μ(x ...
Trevor Hastie, Robert Tibshirani
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2003
The models fit in Chap. 2 have two limitations. First, the conditional distribution of the response, given the predictors, is assumed to be Gaussian. Second, only a single predictor is allowed to have a smooth nonlinear effect—the other predictors are modeled linearly.
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The models fit in Chap. 2 have two limitations. First, the conditional distribution of the response, given the predictors, is assumed to be Gaussian. Second, only a single predictor is allowed to have a smooth nonlinear effect—the other predictors are modeled linearly.
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Generalized boosted additive models
2011Regression analysis is a central method of statistical data analysis, but it is often inappropriate to model the relationship between the conditional distribution of a dependent variable as a function of one or more predictors when this relationship is characterized by complex nonlinear patterns. In such cases nonparametric regression methods are more
AMODIO, SONIA, J. J. Meulman
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Generalized additive models for functional data
TEST, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Febrero-Bande, Manuel +1 more
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Generalized Additive Mixed Models
2020In this chapter we introduce the Generalized Additive Model (GAM). GAMs enable the analyst to investigate non-linear functional relations between a response variable and one or more predictors. Furthermore, GAMs provide a principled framework for studying interactions involving two or more numeric predictors.
R. Harald Baayen, Maja Linke
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Generalized additive models for medical research
Statistical Methods in Medical Research, 1995This article reviews flexible statistical methods that are useful for characterizing the effect of potential prognostic factors on disease endpoints. Applications to survival models and binary outcome models are illustrated.
T, Hastie, R, Tibshirani
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Generalized additive mixed models
Communications in Statistics - Theory and Methods, 2000Following the extension from linear mixed models to additive mixed models, extension from generalized linear mixed models to generalized additive mixed models is made, Algorithms are developed to compute the MLE's of the nonlinear effects and the covariance structures based on the penalized marginal likelihood.
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Generalized Additive Models (GAMs)
2019With GLMs, mean responses are modeled as monotonic functions of linear scores. The assumed linearity of the score is not restrictive for categorical features coded by means of binary variables. However, this assumption becomes questionable for continuous features which may have a nonlinear effect on the score scale.
Michel Denuit +2 more
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Journal of the American Statistical Association, 1991
Robert A. Koyak +2 more
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Robert A. Koyak +2 more
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