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Titlebook: Nonparametric Smoothing and Lack-of-Fit Tests; Jeffrey D. Hart Book 1997 Springer Science+Business Media New York 1997 Calc.Mathematica.Sc

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書目名稱Nonparametric Smoothing and Lack-of-Fit Tests
編輯Jeffrey D. Hart
視頻videohttp://file.papertrans.cn/668/667831/667831.mp4
概述This book is an essential reference for applied and theoretical statisticians interested in the theory and applications of fitting probability models to data.
叢書名稱Springer Series in Statistics
圖書封面Titlebook: Nonparametric Smoothing and Lack-of-Fit Tests;  Jeffrey D. Hart Book 1997 Springer Science+Business Media New York 1997 Calc.Mathematica.Sc
描述The The primary primary aim aim of of this this book book is is to to explore explore the the use use of of nonparametric nonparametric regres- regres- sion sion (i. e. , (i. e. , smoothing) smoothing) methodology methodology in in testing testing the the fit fit of of parametric parametric regression regression models. models. It It is is anticipated anticipated that that the the book book will will be be of of interest interest to to an an audience audience of of graduate graduate students, students, researchers researchers and and practitioners practitioners who who study study or or use use smooth- smooth- ing ing methodology. methodology. Chapters Chapters 2-4 2-4 serve serve as as a a general general introduction introduction to to smoothing smoothing in in the the case case of of a a single single design design variable. variable. The The emphasis emphasis in in these these chapters chapters is is on on estimation estimation of of regression regression curves, curves, with with hardly hardly any any mention mention of of the the lack-of- lack-of- fit fit problem. problem. As As such, such, Chapters Chapters 2-4 2-4 could could be be used used as as the the foundation foundat
出版日期Book 1997
關(guān)鍵詞Calc; Mathematica; Scope; calculus; design; distribution; eXist; kernel; knowledge; mathematical statistics; m
版次1
doihttps://doi.org/10.1007/978-1-4757-2722-7
isbn_softcover978-1-4757-2724-1
isbn_ebook978-1-4757-2722-7Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer Science+Business Media New York 1997
The information of publication is updating

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Statistical Properties of Smoothers,sion function, it becomes important to understand their statistical properties. In this chapter we discuss issues such as mean squared error and sampling distribution of an estimator, and using smoothers to obtain confidence intervals for values of the regression function. We will consider two types
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Data-Driven Lack-of-Fit Tests for General Parametric Models, case of a linear model, i.e., the case where . is hypothesized to be a linear combination of known functions. The fit of such models can be tested by applying the methods of Chapter 7 to residuals. It will be argued that test statistics generally have the same distributions they had in Chapter 7 .
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