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Functional nonparametric statistics in action. (English) Zbl 1271.62085

Sperlich, Stephan (ed.) et al., The art of semiparametrics. Papers based on the presentation at the conference the art of semiparametrics, Berlin, Germany, October 18–23, 2006. Heidelberg: Physica-Verlag (ISBN 3-7908-1700-7/pbk). Contributions to Statistics, 112-129 (2006).
Summary: Functional aspects are more and more frequent and varied in modern statistics so much so that the designation of functional statistics had emerged recently. From a practical point of view, this is appearing as soon as one has to deal with data which are curves. A symbolical example of this new field of statistics concerns the problem of nonparametric regression estimation in presence of functional data. This problem is doubly functional: the nature of the observed data (that is, the nature of the curves) is functional and the statistical model is also functional (that is, it is nonparametric). The only goal of this presentation is to show how recent nonparametric functional regression methods work in different practical situations. Several data sets are chosen to cover different fields of applied statistics (chemiometrics, speech recognition, econometrics) as well as different facets of statistical regression problems. Each example is quickly treated. Complete treatments, theoretical supports and extensive bibliographies are referred to other works.
For the entire collection see [Zbl 1090.62504].

MSC:

62G08 Nonparametric regression and quantile regression
62P10 Applications of statistics to biology and medical sciences; meta analysis
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