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 Title Nonparametric and Semiparametric Models
 Author(s) Wolfgang Hardle, Marlene Muller, Stefan Sperlich, Axel Werwatz
 Publisher: Springer; 1 edition (May 14, 2004)
 Paperback 300 pages
 eBook PDF
 Language: English
 ISBN10: 3540207228
 ISBN13: 9783540207221
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Book Description
The concept of nonparametric smoothing is a central idea in statistics that aims to simultaneously estimate and modes the underlying structure. The book considers high dimensional objects, as density functions and regression.
The semiparametric modeling technique compromises the two aims, flexibility and simplicity of statistical procedures, by introducing partial parametric components. These components allow to match structural conditions like e.g. linearity in some variables and may be used to model the influence of discrete variables.
The aim of this monograph is to present the statistical and mathematical principles of smoothing with a focus on applicable techniques. The necessary mathematical treatment is easily understandable and a wide variety of interactive smoothing examples are given.
The book does naturally split into two parts: Nonparametric models (histogram, kernel density estimation, nonparametric regression) and semiparametric models (generalized regression, single index models, generalized partial linear models, additive and generalized additive models). The first part is intended for undergraduate students majoring in mathematics, statistics, econometrics or biometrics whereas the second part is intended to be used by master and PhD students or researchers.
The material is easy to accomplish since the ebook character of the text gives a maximum of flexibility in learning (and teaching) intensity.
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