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2017 | OriginalPaper | Chapter

13. GLMs and GAMs

Author : David J. Olive

Published in: Linear Regression

Publisher: Springer International Publishing

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Abstract

This chapter contains some extensions of the multiple linear regression model. See Definition 1.1 for the 1D regression model, sufficient predictor (SP = h(x)), estimated sufficient predictor (\(ESP =\hat{ h}(\mathbf{x})\)), generalized linear model (GLM), and the generalized additive model (GAM). When using a GAM to check a GLM, the notation ESP may be used for the GLM, and EAP (estimated additive predictor) may be used for the ESP of the GAM. Definition 1.2 defines the response plot of ESP versus Y.

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Title: GLMs and GAMs
Author: David J. Olive
Publisher: Springer International Publishing
Book: Linear Regression
Print ISBN: 978-3-319-55250-7

Electronic ISBN: 978-3-319-55252-1

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-55252-1_13

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