Projection-type estimation for varying coefficient regression models

In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial estimators of the coefficient functions onto a Hilbert space with...

Full description

Saved in:
Bibliographic Details
Main Authors: Lee, Young K. (Author) , Mammen, Enno (Author) , Park, Byeong U. (Author)
Format: Article (Journal)
Language:English
Published: 20 January 2012
In: Bernoulli
Year: 2012, Volume: 18, Issue: 1, Pages: 177-205
ISSN:1573-9759
DOI:10.3150/10-BEJ331
Online Access:Verlag, Volltext: http://dx.doi.org/10.3150/10-BEJ331
Verlag, Volltext: https://projecteuclid.org/euclid.bj/1327068622
Verlag, Volltext: https://projecteuclid.org/download/pdfview_1/euclid.bj/1327068622
Get full text
Author Notes:Young K. Lee, Enno Mammen, Byeong U. Park

MARC

LEADER 00000caa a2200000 4500
001 1567897770
003 DE-627
005 20220814064233.0
007 cr uuu---uuuuu
008 180131s2012 xx |||||o 00| ||eng c
024 7 |a 10.3150/10-BEJ331  |2 doi 
035 |a (DE-627)1567897770 
035 |a (DE-576)497897776 
035 |a (DE-599)BSZ497897776 
035 |a (OCoLC)1340986357 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Lee, Young K.  |e VerfasserIn  |0 (DE-588)1151596523  |0 (DE-627)1011939797  |0 (DE-576)424775522  |4 aut 
245 1 0 |a Projection-type estimation for varying coefficient regression models  |c Young K. Lee, Enno Mammen, Byeong U. Park 
264 1 |c 20 January 2012 
300 |a 29 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 31.01.2018 
520 |a In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial estimators of the coefficient functions onto a Hilbert space with a suitable norm. We provide a backfitting algorithm to compute the estimators. We show that the algorithm converges at a geometric rate under weak conditions. We derive the asymptotic distributions of the estimators and show that the estimators have the oracle properties. This is done for the general order of local polynomial fitting and for the estimation of the derivatives of the coefficient functions, as well as the coefficient functions themselves. The estimators turn out to have several theoretical and numerical advantages over the marginal integration estimators studied by Yang, Park, Xue and Härdle [J. Amer. Statist. Assoc. 101 (2006) 1212-1227]. 
650 4 |a kernel smoothing 
650 4 |a local polynomial regression 
650 4 |a marginal integration 
650 4 |a oracle properties 
650 4 |a smooth backfitting 
650 4 |a varying coefficient models 
700 1 |a Mammen, Enno  |d 1955-  |e VerfasserIn  |0 (DE-588)170668606  |0 (DE-627)060788658  |0 (DE-576)13153159X  |4 aut 
700 1 |a Park, Byeong U.  |e VerfasserIn  |0 (DE-588)170780023  |0 (DE-627)060912995  |0 (DE-576)131633414  |4 aut 
773 0 8 |i Enthalten in  |t Bernoulli  |d Aarhus : [Verlag nicht ermittelbar], 1995  |g 18(2012), 1, Seite 177-205  |h Online-Ressource  |w (DE-627)327395354  |w (DE-600)2044340-7  |w (DE-576)10266952X  |x 1573-9759  |7 nnns  |a Projection-type estimation for varying coefficient regression models 
773 1 8 |g volume:18  |g year:2012  |g number:1  |g pages:177-205  |g extent:29  |a Projection-type estimation for varying coefficient regression models 
856 4 0 |u http://dx.doi.org/10.3150/10-BEJ331  |x Verlag  |x Resolving-System  |3 Volltext 
856 4 0 |u https://projecteuclid.org/euclid.bj/1327068622  |x Verlag  |3 Volltext 
856 4 0 |u https://projecteuclid.org/download/pdfview_1/euclid.bj/1327068622  |x Verlag  |3 Volltext 
951 |a AR 
992 |a 20180131 
993 |a Article 
994 |a 2012 
998 |g 170668606  |a Mammen, Enno  |m 170668606:Mammen, Enno  |p 2 
999 |a KXP-PPN1567897770  |e 2994753367 
BIB |a Y 
SER |a journal 
JSO |a {"name":{"displayForm":["Young K. Lee, Enno Mammen, Byeong U. Park"]},"physDesc":[{"extent":"S.29"}],"person":[{"display":"Lee, Young K.","role":"aut","family":"Lee","given":"Young K.","roleDisplay":"VerfasserIn"},{"family":"Mammen","display":"Mammen, Enno","role":"aut","roleDisplay":"VerfasserIn","given":"Enno"},{"family":"Park","role":"aut","display":"Park, Byeong U.","roleDisplay":"VerfasserIn","given":"Byeong U."}],"language":["eng"],"note":["Gesehen am 31.01.2018"],"origin":[{"dateIssuedDisp":"20 January 2012","dateIssuedKey":"2012"}],"title":[{"title":"Projection-type estimation for varying coefficient regression models","title_sort":"Projection-type estimation for varying coefficient regression models"}],"recId":"1567897770","relHost":[{"disp":"Projection-type estimation for varying coefficient regression modelsBernoulli","language":["eng"],"physDesc":[{"extent":"Online-Ressource"}],"pubHistory":["1.1995 -"],"origin":[{"dateIssuedDisp":"1995-","publisher":"[Verlag nicht ermittelbar]","publisherPlace":"Aarhus","dateIssuedKey":"1995"}],"part":{"text":"18(2012), 1, Seite 177-205","extent":"29","year":"2012","volume":"18","issue":"1","pages":"177-205"},"type":{"media":"Online-Ressource","bibl":"periodical"},"note":["Gesehen am 30.05.2023"],"title":[{"title":"Bernoulli","title_sort":"Bernoulli","subtitle":"official journal of the Bernoulli Society for Mathematical Statistics and Probability"}],"corporate":[{"roleDisplay":"Herausgebendes Organ","display":"Bernoulli Society for Mathematical Statistics and Probability","role":"isb"}],"recId":"327395354","id":{"zdb":["2044340-7"],"eki":["327395354"],"issn":["1573-9759"]}}],"id":{"doi":["10.3150/10-BEJ331"],"eki":["1567897770"]},"type":{"media":"Online-Ressource","bibl":"article-journal"}} 
SRT |a LEEYOUNGKMPROJECTION2020