Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 52, Issue 5, Pages 2529-2537Publisher
ELSEVIER
DOI: 10.1016/j.csda.2007.08.011
Keywords
generalized linear models; link function; B-splines; penalized likelihood
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Generalized linear models (GLMs) outline a wide class of regression models where the effect of the explanatory variables on the mean of the response variable is modelled throughout the link function. The choice of the link function is typically overlooked in applications and the canonical link is commonly used. The estimation of GLMs with unspecified link function is discussed, where the linearity assumption between the link and the linear predictor is relaxed and the unspecified relationship is modelled flexibly by means of P-splines. An estimating algorithm is presented, alternating estimation of two working GLMs up to convergence. The method is applied to the analysis of quit behavior of production workers where the logit, probit and clog-log links do not appear to be appropriate. (c) 2007 Elsevier B.V All rights reserved.
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