Varying coefficient partially functional linear regression models

By relaxing the linearity assumption in partial functional linear regression models, we propose a varying coefficient partially functional linear regression model (VCPFLM), which includes varying coefficient regression models and functional linear regression models as its special cases. We study the...

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Veröffentlicht in:	Statistical papers (Berlin, Germany) Jg. 57; H. 3; S. 827 - 841
Hauptverfasser:	Peng, Qing-Yan, Zhou, Jian-Jun, Tang, Nian-Sheng
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016 Springer Nature B.V
Schlagworte:	Approximation Coefficients Convergence Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Insurance Management Mathematical functions Mathematical models Mathematics and Statistics Operations Research/Decision Theory Parameter estimation Parameters Polynomials Probability Theory and Stochastic Processes Random variables Regression Regression analysis Regular Article Splines Statistical methods Statistics Statistics for Business Studies Global convergence rate Functional linear models Uniform convergence rate Polynomial spline Varying coefficient model
ISSN:	0932-5026, 1613-9798
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Abstract	By relaxing the linearity assumption in partial functional linear regression models, we propose a varying coefficient partially functional linear regression model (VCPFLM), which includes varying coefficient regression models and functional linear regression models as its special cases. We study the problem of functional parameter estimation in a VCPFLM. The functional parameter is approximated by a polynomial spline, and the spline coefficients are estimated by the ordinary least squares method. Under some regular conditions, we obtain asymptotic properties of functional parameter estimators, including the global convergence rates and uniform convergence rates. Simulation studies are conducted to investigate the performance of the proposed methodologies.
AbstractList	By relaxing the linearity assumption in partial functional linear regression models, we propose a varying coefficient partially functional linear regression model (VCPFLM), which includes varying coefficient regression models and functional linear regression models as its special cases. We study the problem of functional parameter estimation in a VCPFLM. The functional parameter is approximated by a polynomial spline, and the spline coefficients are estimated by the ordinary least squares method. Under some regular conditions, we obtain asymptotic properties of functional parameter estimators, including the global convergence rates and uniform convergence rates. Simulation studies are conducted to investigate the performance of the proposed methodologies.
Author	Peng, Qing-Yan Zhou, Jian-Jun Tang, Nian-Sheng
Author_xml	– sequence: 1 givenname: Qing-Yan surname: Peng fullname: Peng, Qing-Yan organization: Department of Statistics, Yunnan University – sequence: 2 givenname: Jian-Jun surname: Zhou fullname: Zhou, Jian-Jun organization: Department of Statistics, Yunnan University – sequence: 3 givenname: Nian-Sheng surname: Tang fullname: Tang, Nian-Sheng email: nstang@ynu.edu.cn organization: Department of Statistics, Yunnan University
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Cites_doi	10.1007/s00362-009-0280-2 10.1080/10485252.2010.500385 10.3150/09-BEJ231 10.1111/j.1541-0420.2006.00713.x 10.1214/aos/1024691356 10.1016/j.spl.2005.12.007 10.1007/978-3-662-02888-9 10.1080/01621459.2000.10474284 10.1214/009053605000000660 10.1111/1467-9868.00393 10.1016/j.spl.2011.11.027 10.1016/S0167-7152(99)00036-X 10.1214/009053606000000830 10.1080/03610920802105176 10.1214/aos/1176349548 10.1214/009053606000000957 10.1016/j.jspi.2012.02.008 10.1016/j.jmva.2007.04.010 10.1016/j.jmva.2008.03.008 10.1111/j.1467-9469.2004.00404.x 10.1214/aos/1176345969 10.1016/j.jmva.2007.03.003 10.1016/S0304-4076(97)00011-0 10.1016/j.jmva.2008.06.008 10.1080/10485259108832516 10.1007/b98888 10.1111/j.2517-6161.1991.tb01821.x
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Keywords	Global convergence rate Functional linear models Uniform convergence rate Polynomial spline Varying coefficient model
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References	Cai, Fan, Yao (CR6) 2000; 95 Stone (CR27) 1985; 13 Aneiros-Pérez, Vieu (CR1) 2006; 76 Müller, Sentürk, Ferraty (CR21) 2011 de Boor (CR13) 2001 Hall, Horowitz (CR16) 2007; 35 Zhou, Shen, Wolfe (CR33) 1998; 26 Zhou, Chen (CR34) 2012; 82 Huang, Wu, Zhou (CR17) 2004; 14 Wong, Zhang, Ip, Li (CR28) 2008; 99 Xue, Yang (CR30) 2006; 16 Stone (CR26) 1982; 10 Cardot, Ferraty, Sarda (CR7) 1999; 45 Newey (CR22) 1997; 79 Ramsay, Silverman (CR23) 2005 Schumaker (CR25) 1981 Chen (CR10) 1991; 1 DeVore, Lorentz (CR14) 1993 Cardot, Sarda (CR9) 2008; 37 Aneiros-Pérez, Vieu (CR3) 2011; 52 Baíllo, Grané (CR4) 2009; 100 Chiou, Müller, Wang (CR11) 2003; 65 Lian (CR19) 2011; 23 Cai, Hall (CR5) 2006; 34 Rice, Silverman (CR24) 1991; 53 Huang, Shen (CR18) 2004; 31 Cardot, Ferraty, Sarda (CR8) 2003; 13 Wu, Fan, Müller (CR29) 2010; 16 Ferraty, Vieu (CR15) 2006 Lian (CR20) 2012; 142 Dabo-Niang, Guillas (CR12) 2010; 101 Aneiros-Pérez, Vieu (CR2) 2008; 99 Yao, Müller, Wang (CR31) 2005; 33 Zhang, Lin, Sowers (CR32) 2007; 63 A Baíllo (681_CR4) 2009; 100 G Aneiros-Pérez (681_CR3) 2011; 52 H Lian (681_CR19) 2011; 23 H Lian (681_CR20) 2012; 142 CJ Stone (681_CR27) 1985; 13 Z Cai (681_CR6) 2000; 95 F Yao (681_CR31) 2005; 33 WK Newey (681_CR22) 1997; 79 HG Müller (681_CR21) 2011 RA DeVore (681_CR14) 1993 H Cardot (681_CR8) 2003; 13 LL Schumaker (681_CR25) 1981 L Xue (681_CR30) 2006; 16 JZ Huang (681_CR18) 2004; 31 P Hall (681_CR16) 2007; 35 JA Rice (681_CR24) 1991; 53 CJ Stone (681_CR26) 1982; 10 G Aneiros-Pérez (681_CR2) 2008; 99 TT Cai (681_CR5) 2006; 34 G Aneiros-Pérez (681_CR1) 2006; 76 D Zhang (681_CR32) 2007; 63 JZ Huang (681_CR17) 2004; 14 H Chen (681_CR10) 1991; 1 S Dabo-Niang (681_CR12) 2010; 101 J Ramsay (681_CR23) 2005 H Cardot (681_CR9) 2008; 37 H Wong (681_CR28) 2008; 99 F Ferraty (681_CR15) 2006 J Zhou (681_CR34) 2012; 82 H Cardot (681_CR7) 1999; 45 C Boor de (681_CR13) 2001 JM Chiou (681_CR11) 2003; 65 Y Wu (681_CR29) 2010; 16 S Zhou (681_CR33) 1998; 26
References_xml	– year: 2006 ident: CR15 publication-title: Nonparametric functional data analysis – volume: 52 start-page: 751 year: 2011 end-page: 771 ident: CR3 article-title: Automatic estimation procedure in partial linear model with functional data publication-title: Stat Pap doi: 10.1007/s00362-009-0280-2 – volume: 14 start-page: 763 year: 2004 end-page: 788 ident: CR17 article-title: Polynomial spline estimation and inference for varying coefficient model with longitudinal data publication-title: Stat Sin – volume: 23 start-page: 115 year: 2011 end-page: 128 ident: CR19 article-title: Functional partial linear model publication-title: J Nonparametric Stat doi: 10.1080/10485252.2010.500385 – volume: 16 start-page: 730 year: 2010 end-page: 758 ident: CR29 article-title: Varying-coefficient functional linear regression publication-title: Bernoulli doi: 10.3150/09-BEJ231 – volume: 63 start-page: 351 year: 2007 end-page: 362 ident: CR32 article-title: Two-stage functional mixed models for evaluating the effect of longitudinal covariate profiles on a scalar outcome publication-title: Biometrics doi: 10.1111/j.1541-0420.2006.00713.x – volume: 26 start-page: 1760 year: 1998 end-page: 1782 ident: CR33 article-title: Local asymptotics for regression splines and confidence regions publication-title: Ann Stat doi: 10.1214/aos/1024691356 – volume: 76 start-page: 1102 year: 2006 end-page: 1110 ident: CR1 article-title: Semi-functional partial linear regression publication-title: Stat Probab Lett doi: 10.1016/j.spl.2005.12.007 – volume: 13 start-page: 571 year: 2003 end-page: 591 ident: CR8 article-title: Spline estimators for the functional linear model publication-title: Stat Sin – year: 1993 ident: CR14 publication-title: Constructive approximation doi: 10.1007/978-3-662-02888-9 – volume: 95 start-page: 941 year: 2000 end-page: 956 ident: CR6 article-title: Functional-coefficient regression model for nonlinear time series publication-title: J Am Stat Assoc doi: 10.1080/01621459.2000.10474284 – start-page: 225 year: 2011 end-page: 230 ident: CR21 article-title: Functional varying coefficient models. Recent advances in functional data analysis and related topics publication-title: Contributions to statistics – volume: 33 start-page: 2873 year: 2005 end-page: 2903 ident: CR31 article-title: Functional linear regression analysis for longitudinal data publication-title: Ann Stat doi: 10.1214/009053605000000660 – volume: 65 start-page: 405 year: 2003 end-page: 423 ident: CR11 article-title: Functional quasi-likelihood regression models with smooth random effects publication-title: J R Stat Soc B doi: 10.1111/1467-9868.00393 – volume: 82 start-page: 505 year: 2012 end-page: 513 ident: CR34 article-title: Spline estimators for semi-functional linear model publication-title: Stat Probab Lett doi: 10.1016/j.spl.2011.11.027 – year: 2001 ident: CR13 publication-title: A practical guide to splines – volume: 45 start-page: 11 year: 1999 end-page: 22 ident: CR7 article-title: Functional linear model publication-title: Stat Probab Lett doi: 10.1016/S0167-7152(99)00036-X – year: 2005 ident: CR23 publication-title: Functional data analysis – year: 1981 ident: CR25 publication-title: Splines function: basic theory – volume: 34 start-page: 2159 year: 2006 end-page: 2179 ident: CR5 article-title: Prediction in functional linear regression publication-title: Ann Stat doi: 10.1214/009053606000000830 – volume: 37 start-page: 3186 year: 2008 end-page: 3203 ident: CR9 article-title: Varying-coefficient functional linear regression models publication-title: Commun Stat doi: 10.1080/03610920802105176 – volume: 13 start-page: 689 year: 1985 end-page: 705 ident: CR27 article-title: Additive regression and other nonparametric models publication-title: Ann Stat doi: 10.1214/aos/1176349548 – volume: 35 start-page: 70 year: 2007 end-page: 91 ident: CR16 article-title: Methodology and convergence rates for functional linear regression publication-title: Ann Stat doi: 10.1214/009053606000000957 – volume: 142 start-page: 1669 year: 2012 end-page: 1677 ident: CR20 article-title: Empirical likelihood confidence intervals for nonparametric functional data analysis publication-title: J Stat Plan Inference doi: 10.1016/j.jspi.2012.02.008 – volume: 99 start-page: 834 year: 2008 end-page: 857 ident: CR2 article-title: Nonparametric time series prediction: a semi-functional partial linear modeling publication-title: J Multivar Anal doi: 10.1016/j.jmva.2007.04.010 – volume: 100 start-page: 102 year: 2009 end-page: 111 ident: CR4 article-title: Local linear regression for functional predictor and scalar response publication-title: J Multivar Anal doi: 10.1016/j.jmva.2008.03.008 – volume: 31 start-page: 515 year: 2004 end-page: 534 ident: CR18 article-title: Functional coefficient regression models for non-linear time series: a polynomial spline approach publication-title: Scand J Stat doi: 10.1111/j.1467-9469.2004.00404.x – volume: 10 start-page: 1040 year: 1982 end-page: 1053 ident: CR26 article-title: Optimal global rates of convergence for nonparametric regression publication-title: Ann Stat doi: 10.1214/aos/1176345969 – volume: 99 start-page: 278 year: 2008 end-page: 305 ident: CR28 article-title: Functional-coefficient partially linear regression model publication-title: J Multivariate Anal doi: 10.1016/j.jmva.2007.03.003 – volume: 79 start-page: 147 year: 1997 end-page: 168 ident: CR22 article-title: Convergence rates and asymptotic normality for series estimators publication-title: J Econ doi: 10.1016/S0304-4076(97)00011-0 – volume: 101 start-page: 307 year: 2010 end-page: 315 ident: CR12 article-title: Functional semiparametric partially linear model with autoregression errors publication-title: J Multivar Anal doi: 10.1016/j.jmva.2008.06.008 – volume: 16 start-page: 1423 year: 2006 end-page: 1446 ident: CR30 article-title: Additive coefficient modeling via polynomial spline publication-title: Stat Sin – volume: 1 start-page: 143 year: 1991 end-page: 156 ident: CR10 article-title: Polynomial splines and nonparametric regression publication-title: J Nonparametric Stat doi: 10.1080/10485259108832516 – volume: 53 start-page: 233 year: 1991 end-page: 243 ident: CR24 article-title: Estimating the mean and covariance structure nonparametrically when the data are curves publication-title: J R Stat Soc Ser B – volume: 65 start-page: 405 year: 2003 ident: 681_CR11 publication-title: J R Stat Soc B doi: 10.1111/1467-9868.00393 – volume: 23 start-page: 115 year: 2011 ident: 681_CR19 publication-title: J Nonparametric Stat doi: 10.1080/10485252.2010.500385 – volume: 100 start-page: 102 year: 2009 ident: 681_CR4 publication-title: J Multivar Anal doi: 10.1016/j.jmva.2008.03.008 – volume-title: Constructive approximation year: 1993 ident: 681_CR14 doi: 10.1007/978-3-662-02888-9 – volume: 45 start-page: 11 year: 1999 ident: 681_CR7 publication-title: Stat Probab Lett doi: 10.1016/S0167-7152(99)00036-X – volume-title: A practical guide to splines year: 2001 ident: 681_CR13 – volume: 52 start-page: 751 year: 2011 ident: 681_CR3 publication-title: Stat Pap doi: 10.1007/s00362-009-0280-2 – volume: 76 start-page: 1102 year: 2006 ident: 681_CR1 publication-title: Stat Probab Lett doi: 10.1016/j.spl.2005.12.007 – volume-title: Nonparametric functional data analysis year: 2006 ident: 681_CR15 – volume: 33 start-page: 2873 year: 2005 ident: 681_CR31 publication-title: Ann Stat doi: 10.1214/009053605000000660 – volume: 99 start-page: 278 year: 2008 ident: 681_CR28 publication-title: J Multivariate Anal doi: 10.1016/j.jmva.2007.03.003 – volume: 26 start-page: 1760 year: 1998 ident: 681_CR33 publication-title: Ann Stat doi: 10.1214/aos/1024691356 – volume: 142 start-page: 1669 year: 2012 ident: 681_CR20 publication-title: J Stat Plan Inference doi: 10.1016/j.jspi.2012.02.008 – volume: 101 start-page: 307 year: 2010 ident: 681_CR12 publication-title: J Multivar Anal doi: 10.1016/j.jmva.2008.06.008 – volume: 79 start-page: 147 year: 1997 ident: 681_CR22 publication-title: J Econ doi: 10.1016/S0304-4076(97)00011-0 – volume: 35 start-page: 70 year: 2007 ident: 681_CR16 publication-title: Ann Stat doi: 10.1214/009053606000000957 – volume: 16 start-page: 1423 year: 2006 ident: 681_CR30 publication-title: Stat Sin – volume: 10 start-page: 1040 year: 1982 ident: 681_CR26 publication-title: Ann Stat doi: 10.1214/aos/1176345969 – volume-title: Functional data analysis year: 2005 ident: 681_CR23 doi: 10.1007/b98888 – volume: 16 start-page: 730 year: 2010 ident: 681_CR29 publication-title: Bernoulli doi: 10.3150/09-BEJ231 – volume: 82 start-page: 505 year: 2012 ident: 681_CR34 publication-title: Stat Probab Lett doi: 10.1016/j.spl.2011.11.027 – volume: 31 start-page: 515 year: 2004 ident: 681_CR18 publication-title: Scand J Stat doi: 10.1111/j.1467-9469.2004.00404.x – start-page: 225 volume-title: Contributions to statistics year: 2011 ident: 681_CR21 – volume: 13 start-page: 689 year: 1985 ident: 681_CR27 publication-title: Ann Stat doi: 10.1214/aos/1176349548 – volume: 37 start-page: 3186 year: 2008 ident: 681_CR9 publication-title: Commun Stat doi: 10.1080/03610920802105176 – volume: 13 start-page: 571 year: 2003 ident: 681_CR8 publication-title: Stat Sin – volume: 1 start-page: 143 year: 1991 ident: 681_CR10 publication-title: J Nonparametric Stat doi: 10.1080/10485259108832516 – volume-title: Splines function: basic theory year: 1981 ident: 681_CR25 – volume: 95 start-page: 941 year: 2000 ident: 681_CR6 publication-title: J Am Stat Assoc doi: 10.1080/01621459.2000.10474284 – volume: 14 start-page: 763 year: 2004 ident: 681_CR17 publication-title: Stat Sin – volume: 99 start-page: 834 year: 2008 ident: 681_CR2 publication-title: J Multivar Anal doi: 10.1016/j.jmva.2007.04.010 – volume: 63 start-page: 351 year: 2007 ident: 681_CR32 publication-title: Biometrics doi: 10.1111/j.1541-0420.2006.00713.x – volume: 53 start-page: 233 year: 1991 ident: 681_CR24 publication-title: J R Stat Soc Ser B doi: 10.1111/j.2517-6161.1991.tb01821.x – volume: 34 start-page: 2159 year: 2006 ident: 681_CR5 publication-title: Ann Stat doi: 10.1214/009053606000000830
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Snippet	By relaxing the linearity assumption in partial functional linear regression models, we propose a varying coefficient partially functional linear regression...
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SubjectTerms	Approximation Coefficients Convergence Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Insurance Management Mathematical functions Mathematical models Mathematics and Statistics Operations Research/Decision Theory Parameter estimation Parameters Polynomials Probability Theory and Stochastic Processes Random variables Regression Regression analysis Regular Article Splines Statistical methods Statistics Statistics for Business Studies
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Title	Varying coefficient partially functional linear regression models
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