Direct estimation of low-dimensional components in additive models

Additive regression models have turned out to be a useful statistical tool in analyses of high-dimensional data sets. Recently, an estimator of additive components has been introduced by Linton and Nielsen which is based on marginal integration. The explicit definition of this estimator makes possib...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Fan, Jianqing (VerfasserIn) , Härdle, Wolfgang (VerfasserIn) , Mammen, Enno (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1998
In: The annals of statistics
Year: 1998, Jahrgang: 26, Heft: 3, Pages: 943-971
ISSN:2168-8966
Online-Zugang:Verlag, Volltext: http://dx.doi.org./doi:10.1214/aos/1024691083
Verlag, Volltext: https://projecteuclid.org/euclid.aos/1024691083#abstract
Verlag, Volltext: https://projecteuclid.org/download/pdf_1/euclid.aos/1024691083
Verlag, Volltext: http://www.jstor.org/stable/120063
Verlag, Volltext: http://www.jstor.org/stable/pdf/120063.pdf?refreqid=excelsior:a62b56a7867a55afeecf5363bd15b9d4
Volltext
Verfasserangaben:Jianqing Fan, Wolfgang Härdle, Enno Mammen

MARC

LEADER 00000caa a2200000 c 4500
001 1569783950
003 DE-627
005 20220814071944.0
007 cr uuu---uuuuu
008 180213s1998 xx |||||o 00| ||eng c
024 7 |a 10.1214/aos/1024691083  |2 doi 
035 |a (DE-627)1569783950 
035 |a (DE-576)499783956 
035 |a (DE-599)BSZ499783956 
035 |a (OCoLC)1340986677 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Fan, Jianqing  |e VerfasserIn  |0 (DE-588)17090492X  |0 (DE-627)061051616  |0 (DE-576)17568264X  |4 aut 
245 1 0 |a Direct estimation of low-dimensional components in additive models  |c Jianqing Fan, Wolfgang Härdle, Enno Mammen 
264 1 |c 1998 
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 First available in Project Euclid: 21 June 2002 
500 |a Gesehen am 13.02.2018 
520 |a Additive regression models have turned out to be a useful statistical tool in analyses of high-dimensional data sets. Recently, an estimator of additive components has been introduced by Linton and Nielsen which is based on marginal integration. The explicit definition of this estimator makes possible a fast computation and allows an asymptotic distribution theory. In this paper an asymptotic treatment of this estimate is offered for several models. A modification of this procedure is introduced. We consider weighted marginal integration for local linear fits and we show that this estimate has the following advantages. (i) With an appropriate choice of the weight function, the additive components can be efficiently estimated: An additive component can be estimated with the same asymptotic bias and variance as if the other components were known. (ii) Application of local linear fits reduces the design related bias. 
700 1 |a Härdle, Wolfgang  |d 1953-  |e VerfasserIn  |0 (DE-588)110357116  |0 (DE-627)546377173  |0 (DE-576)165333545  |4 aut 
700 1 |a Mammen, Enno  |d 1955-  |e VerfasserIn  |0 (DE-588)170668606  |0 (DE-627)060788658  |0 (DE-576)13153159X  |4 aut 
773 0 8 |i Enthalten in  |t The annals of statistics  |d Hayward, Calif. : IMS Business Off., 1973  |g 26(1998), 3, Seite 943-971  |h Online-Ressource  |w (DE-627)270129162  |w (DE-600)1476670-X  |w (DE-576)094425213  |x 2168-8966  |7 nnas  |a Direct estimation of low-dimensional components in additive models 
773 1 8 |g volume:26  |g year:1998  |g number:3  |g pages:943-971  |g extent:29  |a Direct estimation of low-dimensional components in additive models 
856 4 0 |u http://dx.doi.org./doi:10.1214/aos/1024691083  |x Verlag  |3 Volltext 
856 4 0 |u https://projecteuclid.org/euclid.aos/1024691083#abstract  |x Verlag  |3 Volltext 
856 4 0 |u https://projecteuclid.org/download/pdf_1/euclid.aos/1024691083  |x Verlag  |3 Volltext 
856 4 0 |u http://www.jstor.org/stable/120063  |x Verlag  |3 Volltext 
856 4 0 |u http://www.jstor.org/stable/pdf/120063.pdf?refreqid=excelsior:a62b56a7867a55afeecf5363bd15b9d4  |x Verlag  |3 Volltext 
951 |a AR 
992 |a 20180213 
993 |a Article 
994 |a 1998 
998 |g 170668606  |a Mammen, Enno  |m 170668606:Mammen, Enno  |d 110000  |d 110200  |d 110000  |d 110400  |e 110000PM170668606  |e 110200PM170668606  |e 110000PM170668606  |e 110400PM170668606  |k 0/110000/  |k 1/110000/110200/  |k 0/110000/  |k 1/110000/110400/  |p 3  |y j 
999 |a KXP-PPN1569783950  |e 2998968244 
BIB |a Y 
SER |a journal 
JSO |a {"name":{"displayForm":["Jianqing Fan, Wolfgang Härdle, Enno Mammen"]},"id":{"eki":["1569783950"],"doi":["10.1214/aos/1024691083"]},"origin":[{"dateIssuedDisp":"1998","dateIssuedKey":"1998"}],"relHost":[{"origin":[{"publisherPlace":"Hayward, Calif.","dateIssuedKey":"1973","publisher":"IMS Business Off.","dateIssuedDisp":"1973-"}],"id":{"eki":["270129162"],"zdb":["1476670-X"],"issn":["2168-8966"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"The annals of statistics","subtitle":"an official journal of the Institute of Mathematical Statistics","title_sort":"annals of statistics"}],"pubHistory":["1.1973 - 23.1995; 24.1996 -"],"part":{"pages":"943-971","issue":"3","year":"1998","extent":"29","text":"26(1998), 3, Seite 943-971","volume":"26"},"disp":"Direct estimation of low-dimensional components in additive modelsThe annals of statistics","note":["Gesehen am 08-06-21"],"type":{"media":"Online-Ressource","bibl":"periodical"},"language":["eng"],"corporate":[{"display":"Institute of Mathematical Statistics","roleDisplay":"Herausgebendes Organ","role":"isb"}],"recId":"270129162"}],"physDesc":[{"extent":"29 S."}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Fan, Jianqing","given":"Jianqing","family":"Fan"},{"role":"aut","display":"Härdle, Wolfgang","roleDisplay":"VerfasserIn","given":"Wolfgang","family":"Härdle"},{"role":"aut","display":"Mammen, Enno","roleDisplay":"VerfasserIn","given":"Enno","family":"Mammen"}],"title":[{"title":"Direct estimation of low-dimensional components in additive models","title_sort":"Direct estimation of low-dimensional components in additive models"}],"recId":"1569783950","language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["First available in Project Euclid: 21 June 2002","Gesehen am 13.02.2018"]} 
SRT |a FANJIANQINDIRECTESTI1998