arrow
Return

BACKFITTING AND SMOOTH BACKFITTING FOR ADDITIVE QUANTILE MODELS

delete2010-10-01
delete47
delete
OA
AI
Y
Young Lee *
E
Enno Mammen
B
Byeong U. Park
DOI:10.1214/10-AOS808delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
In this paper, we study the ordinary backfitting and smooth backfitting as methods of fitting additive quantile models. We show that these backfitting quantile estimators are asymptotically equivalent to the corresponding backfitting estimators of the additive components in a specially-designed additive mean regression model. This implies that the theoretical properties of the backfitting quantile estimators are not unlike those of backfitting mean regression estimators. We also assess the finite sample properties of the two backfitting quantile estimators.
Keywords:
Backfitting
nonparametric regression
quantile estimation
additive models
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Annals of Statistics cover
Annals of Statistics
IF:
3.7
Papers:
2.8K
Citations:
2.9W

Organization

U
University of Mannheim
Scholars:
1.9K
Papers: 2.2K
Citations: 3.2K
K
Kangwon National University
Scholars:
1.0W
Papers: 9.4K
Citations: 13
S
seoul national university (snu)
Scholars:
7.2W
Papers: 6.6W
Citations: 86
researcher View more organizations
Cited Papers

Cited Papers

Polydiheteroarylenemethines — A new class of conducting polymers
err1991-04-01
err0
PREAI
errH. Bräunling; G. Blöchl; R. Becker
errShare
errSave
Thermal Conductivity of Copper
err1895-05-01
err0
errOAAI
errR. W. Quick; C. D. Child; B. S. Lanphear
errShare
errSave
An XPS study of hafnium nitride films
err1985-12-01
err0
PREAI
errA.J. Perry; L. Schlapbach
errShare
errSave
Smooth backfitting in generalized additive models
err2008-02-01
err79
errOAAI
errYu, Kyusang; Park, Byeong U.; Mammen, Enno
errShare
errSave
errShare
errSave
researcher View more