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Semiparametric regression during 2003–2007. (English) Zbl 1326.62094

Summary: Semiparametric regression is a fusion between parametric regression and nonparametric regression that integrates low-rank penalized splines, mixed model and hierarchical Bayesian methodology – thus allowing more streamlined handling of longitudinal and spatial correlation. We review progress in the field over the five-year period between 2003 and 2007. We find semiparametric regression to be a vibrant field with substantial involvement and activity, continual enhancement and widespread application.

MSC:

62G08 Nonparametric regression and quantile regression
62G05 Nonparametric estimation
62J12 Generalized linear models (logistic models)
62F15 Bayesian inference
62G20 Asymptotic properties of nonparametric inference
65C60 Computational problems in statistics (MSC2010)
62-02 Research exposition (monographs, survey articles) pertaining to statistics
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References:

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