# Local polynomial modelling and its applications fan gijbels pdf

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- Local polynomial regression smoothers with AR-error structure
- Local polynomial modelling and its applications
- Local Polynomial Modelling and Its Applications Monographs on Statistics and Applied Probability 66
- Local polynomial modelling and its applications

*Local polynomial modelling and its applications Fan J. Publisher: CRC. Local Polynomial Modelling and its Applications.*

Local polynomial regression is extremely popular in applied settings. Recent developments in shape-constrained nonparametric regression allow practitioners to impose constraints on local polynomial estimators thereby ensuring that the resulting estimates are consistent with underlying theory. However, it turns out that local polynomial derivative estimates may fail to coincide with the analytic derivative of the local polynomial regression estimate which can be problematic, particularly in the context of shape-constrained estimation. In such cases, practitioners might prefer to instead use analytic derivatives along the lines of those proposed in the local constant setting by Rilstone and Ullah Demonstrations and applications are considered.

## Local polynomial regression smoothers with AR-error structure

This text looks at data-analytic approaches to regression problems arising from many scientific disciplines. The aim of these methods is to relax assumptions on the form of a regression function and to let data search for a suitable function. The available data is also described. Read more Table of contents. Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. Finding libraries that hold this item

## Local polynomial modelling and its applications

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## Local Polynomial Modelling and Its Applications Monographs on Statistics and Applied Probability 66

Jianqing Fan , Irene Gijbels. Data-analytic approaches to regression problems, arising from many scientific disciplines are described in this book. The aim of these nonparametric methods is to relax assumptions on the form of a regression function and to let data search for a suitable function that describes the data well.

### Local polynomial modelling and its applications

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Ruppert Published Mathematics. Nonparametric regression estimates a conditional expectation of a response given a predictor variable without requiring parametric assumptions about this conditional expectation. There are many methods of nonparametric regression including kernel estimation, smoothing splines, regression splines, and orthogonal series. Local regression ts parametric models locally by using kernel weights.

Regression function estimation from independent and identically distributed data is considered. The L 2 error with integration with respect to the design measure is used as an error criterion. It is shown that suitably defined local polynomial kernel estimates are weakly and strongly universally consistent, i. This is a preview of subscription content, access via your institution. Please try refreshing the page.

ByJ. Fan, I. Gijbels eBook Published 25 October Pub. Local polynomial modeling and its applications provides an up-to-date picture on state-of-the-art.