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A Simple Smooth Backfitting Method for Additive Models
A Simple Smooth Backfitting Method for Additive Models
by Park, Byeong U. , Mammen, Enno
in 62G07 / 62G20 / Asymptotic properties / Backfitting / Data smoothing / Density estimation / Estimating techniques / Estimation bias / Estimation methods / Estimators for the mean / Exact sciences and technology / Linear regression / local linear smoothing / Mathematical models / Mathematics / Modeling / Nonparametric inference / nonparametric regression / Nonparametric Statistical Analysis / Oracles / Probability and statistics / Regression analysis / Sciences and techniques of general use / Statistics / Studies
2006
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A Simple Smooth Backfitting Method for Additive Models
by Park, Byeong U. , Mammen, Enno
in 62G07 / 62G20 / Asymptotic properties / Backfitting / Data smoothing / Density estimation / Estimating techniques / Estimation bias / Estimation methods / Estimators for the mean / Exact sciences and technology / Linear regression / local linear smoothing / Mathematical models / Mathematics / Modeling / Nonparametric inference / nonparametric regression / Nonparametric Statistical Analysis / Oracles / Probability and statistics / Regression analysis / Sciences and techniques of general use / Statistics / Studies
2006
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A Simple Smooth Backfitting Method for Additive Models
A Simple Smooth Backfitting Method for Additive Models
by Park, Byeong U. , Mammen, Enno
in 62G07 / 62G20 / Asymptotic properties / Backfitting / Data smoothing / Density estimation / Estimating techniques / Estimation bias / Estimation methods / Estimators for the mean / Exact sciences and technology / Linear regression / local linear smoothing / Mathematical models / Mathematics / Modeling / Nonparametric inference / nonparametric regression / Nonparametric Statistical Analysis / Oracles / Probability and statistics / Regression analysis / Sciences and techniques of general use / Statistics / Studies
2006

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A Simple Smooth Backfitting Method for Additive Models
A Simple Smooth Backfitting Method for Additive Models
Journal Article

A Simple Smooth Backfitting Method for Additive Models

Park, Byeong U.,
Mammen, Enno
2006
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Overview
In this paper a new smooth backfitting estimate is proposed for additive regression models. The estimate has the simple structure of Nadaraya-Watson smooth backfitting but at the same time achieves the oracle property of local linear smooth backfitting. Each component is estimated with the same asymptotic accuracy as if the other components were known.
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Publisher
Institute of Mathematical Statistics,The Institute of Mathematical Statistics
Subject

62G07

/ 62G20

/ Asymptotic properties

/ Backfitting

/ Data smoothing

/ Density estimation

/ Estimating techniques

/ Estimation bias

/ Estimation methods

/ Estimators for the mean

/ Exact sciences and technology

/ Linear regression

/ local linear smoothing

/ Mathematical models

/ Mathematics

/ Modeling

/ Nonparametric inference

/ nonparametric regression

/ Nonparametric Statistical Analysis

/ Oracles

/ Probability and statistics

/ Regression analysis

/ Sciences and techniques of general use

/ Statistics

/ Studies

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