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Volumn 186, Issue 2, 2015, Pages 345-366

Some new asymptotic theory for least squares series: Pointwise and uniform results

Author keywords

Least squares series; Strong approximations; Uniform confidence bands

Indexed keywords

ECONOMIC AND SOCIAL EFFECTS; RANDOM NUMBER GENERATION;

EID: 84929263155     PISSN: 03044076     EISSN: 18726895     Source Type: Journal    
DOI: 10.1016/j.jeconom.2015.02.014     Document Type: Conference Paper
Times cited : (227)

References (41)
  • 1
    • 0000090466 scopus 로고
    • Asymptotic normality of series estimators for nonparametric and semiparametric models
    • D.W.K. Andrews Asymptotic normality of series estimators for nonparametric and semiparametric models Econometrica 59 1991 307 345
    • (1991) Econometrica , vol.59 , pp. 307-345
    • Andrews, D.W.K.1
  • 2
    • 33645019222 scopus 로고    scopus 로고
    • Quantile regression under misspecification, with an application to the U.S. Wage structure
    • J. Angrist, V. Chernozhukov, and I. Fernández-Val Quantile regression under misspecification, with an application to the U.S. wage structure Econometrica 74 2006 539 563
    • (2006) Econometrica , vol.74 , pp. 539-563
    • Angrist, J.1    Chernozhukov, V.2    Fernández-Val, I.3
  • 4
    • 84876108173 scopus 로고    scopus 로고
    • Optimal convergence rates, Bahadur representation, and asymptotic normality of partitioning estimators
    • M. Cattaneo, and M. Farrell Optimal convergence rates, Bahadur representation, and asymptotic normality of partitioning estimators J. Econometrics 174 2013 127 143
    • (2013) J. Econometrics , vol.174 , pp. 127-143
    • Cattaneo, M.1    Farrell, M.2
  • 5
    • 66049151266 scopus 로고    scopus 로고
    • Large sample sieve estimation of semi-nonparametric models
    • J.J. Heckman, E. Leamer, Elsevier (Chapter 76)
    • X. Chen Large sample sieve estimation of semi-nonparametric models J.J. Heckman, E. Leamer, Handbook of Econometrics vol. 6B 2007 Elsevier (Chapter 76)
    • (2007) Handbook of Econometrics , vol.6 B
    • Chen, X.1
  • 8
    • 84908254539 scopus 로고    scopus 로고
    • Anti-concentration and honest, adaptive confidence bands
    • V. Chernozhukov, D. Chetverikov, and K. Kato Anti-concentration and honest, adaptive confidence bands Ann. Statist. 42 5 2014 1787 1818
    • (2014) Ann. Statist. , vol.42 , Issue.5 , pp. 1787-1818
    • Chernozhukov, V.1    Chetverikov, D.2    Kato, K.3
  • 9
    • 84875481261 scopus 로고    scopus 로고
    • Intersection bounds: Estimation and inference
    • V. Chernozhukov, S. Lee, and A. Rosen Intersection bounds: estimation and inference Econometrica 81 2 2013 667 737
    • (2013) Econometrica , vol.81 , Issue.2 , pp. 667-737
    • Chernozhukov, V.1    Lee, S.2    Rosen, A.3
  • 13
    • 0000660999 scopus 로고
    • The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
    • R.M. Dudley The sizes of compact subsets of Hilbert space and continuity of Gaussian processes J. Funct. Anal. 1 1967 290 330
    • (1967) J. Funct. Anal. , vol.1 , pp. 290-330
    • Dudley, R.M.1
  • 14
    • 84971840190 scopus 로고
    • Adaptive rules for seminonparametric estimation that achieve asymptotic normality
    • B.J. Eastwood, and A.R. Gallant Adaptive rules for seminonparametric estimation that achieve asymptotic normality Econometric Theory 7 1991 307 340
    • (1991) Econometric Theory , vol.7 , pp. 307-340
    • Eastwood, B.J.1    Gallant, A.R.2
  • 15
    • 0000021006 scopus 로고
    • On the asymptotic normality of Fourier flexible functional form estimates
    • A.R. Gallant, and G. Souza On the asymptotic normality of Fourier flexible functional form estimates J. Econometrics 50 1991 329 353
    • (1991) J. Econometrics , vol.50 , pp. 329-353
    • Gallant, A.R.1    Souza, G.2
  • 16
    • 33746227538 scopus 로고    scopus 로고
    • Concentration inequalities and asymptotic results for ratio type empirical processes
    • E. Giné, and V. Koltchinskii Concentration inequalities and asymptotic results for ratio type empirical processes Ann. Probab. 34 2006 1143 1216
    • (2006) Ann. Probab. , vol.34 , pp. 1143-1216
    • Giné, E.1    Koltchinskii, V.2
  • 17
    • 33751093033 scopus 로고    scopus 로고
    • Lp-moments of random vectors via majorizing measures
    • Lp-moments of random vectors via majorizing measures Adv. Math. 208 2007 798 823
    • (2007) Adv. Math. , vol.208 , pp. 798-823
    • Guédon, O.1    Rudelson, M.2
  • 21
    • 0032387767 scopus 로고    scopus 로고
    • Projection estimation in multiple regression with application to functional ANOVA models
    • J. Huang Projection estimation in multiple regression with application to functional ANOVA models Ann. Statist. 26 1998 242 272
    • (1998) Ann. Statist. , vol.26 , pp. 242-272
    • Huang, J.1
  • 22
    • 0346499063 scopus 로고    scopus 로고
    • Asymptotics for polynomial spline regression under weak conditions
    • J.Z. Huang Asymptotics for polynomial spline regression under weak conditions Statist. Probab. Lett. 65 2003 207 216
    • (2003) Statist. Probab. Lett. , vol.65 , pp. 207-216
    • Huang, J.Z.1
  • 23
    • 0242511218 scopus 로고    scopus 로고
    • Local asymptotics for polynomial spline regression
    • J.Z. Huang Local asymptotics for polynomial spline regression Ann. Statist. 31 2003 1600 1635
    • (2003) Ann. Statist. , vol.31 , pp. 1600-1635
    • Huang, J.Z.1
  • 25
    • 84888882356 scopus 로고    scopus 로고
    • Quasi-Bayesian analysis of nonparametric instrumental variables models
    • K. Kato Quasi-Bayesian analysis of nonparametric instrumental variables models Ann. Statist. 41 2013 2359 2390
    • (2013) Ann. Statist. , vol.41 , pp. 2359-2390
    • Kato, K.1
  • 26
    • 0000426206 scopus 로고
    • Non-commutative Khintchine and Paley inequalities
    • L. Lust-Picard, and G. Pisier Non-commutative Khintchine and Paley inequalities Ark. Mat. 29 1991 241 260
    • (1991) Ark. Mat. , vol.29 , pp. 241-260
    • Lust-Picard, L.1    Pisier, G.2
  • 28
    • 0000105198 scopus 로고    scopus 로고
    • Convergence rates and asymptotic normality for series estimators
    • W.K. Newey Convergence rates and asymptotic normality for series estimators J. Econometrics 79 1997 147 168
    • (1997) J. Econometrics , vol.79 , pp. 147-168
    • Newey, W.K.1
  • 29
    • 0000016616 scopus 로고    scopus 로고
    • Nonparametric estimation of triangular simultaneous equations models
    • W. Newey, J. Powell, and F. Vella Nonparametric estimation of triangular simultaneous equations models Econometrica 67 1999 565 603
    • (1999) Econometrica , vol.67 , pp. 565-603
    • Newey, W.1    Powell, J.2    Vella, F.3
  • 31
    • 0033541884 scopus 로고    scopus 로고
    • Random vectors in the isotropic position
    • M. Rudelson Random vectors in the isotropic position J. Funct. Anal. 164 1 1999 60 72
    • (1999) J. Funct. Anal. , vol.164 , Issue.1 , pp. 60-72
    • Rudelson, M.1
  • 32
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • C.J. Stone Optimal global rates of convergence for nonparametric regression Ann. Statist. 10 1982 1040 1053
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1
  • 33
    • 0346862811 scopus 로고
    • The use of polynomial splines and their tensor products in multivariate function estimation. with discussion by Andreas Buja and Trevor Hastie and a rejoinder by the author
    • C.J. Stone The use of polynomial splines and their tensor products in multivariate function estimation. With discussion by Andreas Buja and Trevor Hastie and a rejoinder by the author Ann. Statist. 22 1994 118 184
    • (1994) Ann. Statist. , vol.22 , pp. 118-184
    • Stone, C.J.1
  • 34
    • 0030369277 scopus 로고    scopus 로고
    • Majorizing measures: The generic chaining
    • M. Talagrand Majorizing measures: the generic chaining Ann. Probab. 24 1996 1049 1103
    • (1996) Ann. Probab. , vol.24 , pp. 1049-1103
    • Talagrand, M.1
  • 37
    • 0000709835 scopus 로고
    • Estimating a regression function
    • S.A. van de Geer Estimating a regression function Ann. Statist. 18 1990 907 924
    • (1990) Ann. Statist. , vol.18 , pp. 907-924
    • Van De Geer, S.A.1
  • 38
    • 0036827541 scopus 로고    scopus 로고
    • M-estimation using penalties or sieves
    • S. van de Geer M-estimation using penalties or sieves J. Statist. Plann. Inference 108 2002 55 69
    • (2002) J. Statist. Plann. Inference , vol.108 , pp. 55-69
    • Van De Geer, S.1


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