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Volumn 100, Issue 7, 2009, Pages 1551-1566

Testing independence in nonparametric regression

Author keywords

Bootstrap; Goodness of fit; Kernel estimator; Nonparametric regression; Test for independence

Indexed keywords


EID: 64449086355     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2009.01.012     Document Type: Article
Times cited : (28)

References (48)
  • 1
    • 0000887734 scopus 로고    scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan J., and Gijbels I. Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation. J. Roy. Statist. Soc. Ser. B 57 (1996) 371-394
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 2
    • 0031574573 scopus 로고    scopus 로고
    • Testing for the equality of two nonparametric regression curves
    • Koul H.L., and Schick A. Testing for the equality of two nonparametric regression curves. J. Statist. Plann. Inference 65 (1997) 293-314
    • (1997) J. Statist. Plann. Inference , vol.65 , pp. 293-314
    • Koul, H.L.1    Schick, A.2
  • 3
    • 0035457247 scopus 로고    scopus 로고
    • Nonparametric estimation of the residual distribution
    • Akritas M., and van Keilegom I. Nonparametric estimation of the residual distribution. Scand. J. Statist. 28 (2001) 549-567
    • (2001) Scand. J. Statist. , vol.28 , pp. 549-567
    • Akritas, M.1    van Keilegom, I.2
  • 4
    • 0242720189 scopus 로고    scopus 로고
    • Estimating linear functionals of the error distribution in nonparametric regression
    • Müller U.U., Schick A., and Wefelmeyer W. Estimating linear functionals of the error distribution in nonparametric regression. J. Statist. Plann. Inference 119 (2004) 75-93
    • (2004) J. Statist. Plann. Inference , vol.119 , pp. 75-93
    • Müller, U.U.1    Schick, A.2    Wefelmeyer, W.3
  • 5
    • 42449132560 scopus 로고    scopus 로고
    • Estimating the error distribution function in semiparametric regression
    • Müller U.U., Schick A., and Wefelmeyer W. Estimating the error distribution function in semiparametric regression. Statist. Decisions 25 (2007) 1-18
    • (2007) Statist. Decisions , vol.25 , pp. 1-18
    • Müller, U.U.1    Schick, A.2    Wefelmeyer, W.3
  • 6
    • 8644254345 scopus 로고    scopus 로고
    • Asymptotic distributions of error density and distribution function estimators in nonparametric regression
    • Cheng F. Asymptotic distributions of error density and distribution function estimators in nonparametric regression. J. Statist. Plann. Inference 128 (2005) 327-349
    • (2005) J. Statist. Plann. Inference , vol.128 , pp. 327-349
    • Cheng, F.1
  • 7
    • 33745311451 scopus 로고    scopus 로고
    • Bootstrap tests for the error distribution in linear and nonparametric regression models
    • Neumeyer N., Dette H., and Nagel E.-R. Bootstrap tests for the error distribution in linear and nonparametric regression models. Aust. N. Z. J. Stat. 48 (2006) 129-156
    • (2006) Aust. N. Z. J. Stat. , vol.48 , pp. 129-156
    • Neumeyer, N.1    Dette, H.2    Nagel, E.-R.3
  • 8
    • 36249015452 scopus 로고    scopus 로고
    • Comparison of regression curves based on the estimation of the error distribution
    • Pardo-Fernández J.C., van Keilegom I., and González-Manteiga W. Comparison of regression curves based on the estimation of the error distribution. Statist. Sinica 17 (2007) 1115-1137
    • (2007) Statist. Sinica , vol.17 , pp. 1115-1137
    • Pardo-Fernández, J.C.1    van Keilegom, I.2    González-Manteiga, W.3
  • 9
    • 47849089007 scopus 로고    scopus 로고
    • Tests for independence in nonparametric regression
    • Einmahl J., and van Keilegom I. Tests for independence in nonparametric regression. Statist. Sinica 18 (2008) 601-616
    • (2008) Statist. Sinica , vol.18 , pp. 601-616
    • Einmahl, J.1    van Keilegom, I.2
  • 10
    • 38149097046 scopus 로고    scopus 로고
    • Specification tests in nonparametric regression
    • Einmahl J., and van Keilegom I. Specification tests in nonparametric regression. J. Econometrics 143 (2008) 88-102
    • (2008) J. Econometrics , vol.143 , pp. 88-102
    • Einmahl, J.1    van Keilegom, I.2
  • 12
    • 0002262161 scopus 로고    scopus 로고
    • A consistent specification test of independence
    • Zheng J.X. A consistent specification test of independence. J. Nonparametr. Stat. 7 (1997) 297-306
    • (1997) J. Nonparametr. Stat. , vol.7 , pp. 297-306
    • Zheng, J.X.1
  • 13
    • 0000830828 scopus 로고
    • Consistent nonparametric entropy-based testing
    • Robinson P.M. Consistent nonparametric entropy-based testing. Rev. Econom. Stud. 58 (1991) 437-453
    • (1991) Rev. Econom. Stud. , vol.58 , pp. 437-453
    • Robinson, P.M.1
  • 14
    • 0000861053 scopus 로고
    • A nonparametric test of independence
    • Hoeffding W. A nonparametric test of independence. Ann. Math. Statist. 19 (1948) 546-557
    • (1948) Ann. Math. Statist. , vol.19 , pp. 546-557
    • Hoeffding, W.1
  • 15
    • 0000360523 scopus 로고
    • Distribution free tests of independence based on the sample distribution function
    • Blum J.R., Kiefer J., and Rosenblatt M. Distribution free tests of independence based on the sample distribution function. Ann. Math. Statist. 32 (1961) 485-498
    • (1961) Ann. Math. Statist. , vol.32 , pp. 485-498
    • Blum, J.R.1    Kiefer, J.2    Rosenblatt, M.3
  • 16
    • 0002542168 scopus 로고
    • A quadratic measure of deviation of two-dimensional density estimates and a test of independence
    • Rosenblatt M. A quadratic measure of deviation of two-dimensional density estimates and a test of independence. Ann. Statist. 3 (1975) 1-14
    • (1975) Ann. Statist. , vol.3 , pp. 1-14
    • Rosenblatt, M.1
  • 17
    • 13444298360 scopus 로고
    • A Kolmogorov-Smirnov type test for independence and multivariate samples
    • Deheuvels P. A Kolmogorov-Smirnov type test for independence and multivariate samples. Rev. Roumaine Math. Pures Appl. 26 (1981) 213-226
    • (1981) Rev. Roumaine Math. Pures Appl. , vol.26 , pp. 213-226
    • Deheuvels, P.1
  • 18
    • 0001161521 scopus 로고    scopus 로고
    • Testing symmetry of an unknown density function by Kernel method
    • Ahmad I.A., and Li Q. Testing symmetry of an unknown density function by Kernel method. J. Nonparametr. Stat. 7 (1997) 279-293
    • (1997) J. Nonparametr. Stat. , vol.7 , pp. 279-293
    • Ahmad, I.A.1    Li, Q.2
  • 19
    • 0001743858 scopus 로고
    • The empirical distribution function of residuals from generalized regression
    • Loynes R.M. The empirical distribution function of residuals from generalized regression. Ann. Statist. 8 (1980) 285-298
    • (1980) Ann. Statist. , vol.8 , pp. 285-298
    • Loynes, R.M.1
  • 20
    • 84950426508 scopus 로고
    • Bootstrapping in nonparametric regression: Local adaptive smoothing and confidence bands
    • Härdle W., and Bowman A.W. Bootstrapping in nonparametric regression: Local adaptive smoothing and confidence bands. J. Amer. Statist. Assoc. 83 (1988) 102-110
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 102-110
    • Härdle, W.1    Bowman, A.W.2
  • 21
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle W., and Mammen E. Comparing nonparametric versus parametric regression fits. Ann. Statist. 21 (1993) 1926-1947
    • (1993) Ann. Statist. , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 22
    • 0000617856 scopus 로고    scopus 로고
    • A consistent test of functional form via nonparametric estimation techniques
    • Zheng J.X. A consistent test of functional form via nonparametric estimation techniques. J. Econometrics 75 (1996) 263-289
    • (1996) J. Econometrics , vol.75 , pp. 263-289
    • Zheng, J.X.1
  • 23
    • 0031520116 scopus 로고    scopus 로고
    • Nonparametric model checks for regression
    • Stute W. Nonparametric model checks for regression. Ann. Statist. 25 (1997) 613-641
    • (1997) Ann. Statist. , vol.25 , pp. 613-641
    • Stute, W.1
  • 24
    • 0032271144 scopus 로고    scopus 로고
    • Model checks for regression: An innovation process approach
    • Stute W., Thies S., and Zhu L.-X. Model checks for regression: An innovation process approach. Ann. Statist. 26 (1998) 1916-1934
    • (1998) Ann. Statist. , vol.26 , pp. 1916-1934
    • Stute, W.1    Thies, S.2    Zhu, L.-X.3
  • 26
    • 0033248627 scopus 로고    scopus 로고
    • A consistent test for the functional form of a regression based on a difference of variance estimators
    • Dette H. A consistent test for the functional form of a regression based on a difference of variance estimators. Ann. Statist. 27 (1999) 1012-1040
    • (1999) Ann. Statist. , vol.27 , pp. 1012-1040
    • Dette, H.1
  • 27
    • 48249103959 scopus 로고    scopus 로고
    • Goodness-of-fit tests in parametric regression based on the estimation of the error distribution
    • Van Keilegom I., González-Manteiga W., and Sánchez Sellero C. Goodness-of-fit tests in parametric regression based on the estimation of the error distribution. TEST 17 (2008) 401-415
    • (2008) TEST , vol.17 , pp. 401-415
    • Van Keilegom, I.1    González-Manteiga, W.2    Sánchez Sellero, C.3
  • 28
    • 0002804689 scopus 로고
    • Detecting heteroscedasticity in nonparametric regression
    • Eubank R.L., and Thomas W. Detecting heteroscedasticity in nonparametric regression. J. Roy. Statist. Soc. Ser. B 55 (1993) 145-155
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 145-155
    • Eubank, R.L.1    Thomas, W.2
  • 29
    • 0000589091 scopus 로고    scopus 로고
    • Testing heteroscedasticity in nonparametric regression
    • Dette H., and Munk A. Testing heteroscedasticity in nonparametric regression. J. Roy. Statist. Soc. Ser. B 60 (1998) 693-708
    • (1998) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 693-708
    • Dette, H.1    Munk, A.2
  • 30
    • 0037089960 scopus 로고    scopus 로고
    • A consistent test for heteroscedasticity in nonparametric regression based on the Kernel method
    • Dette H. A consistent test for heteroscedasticity in nonparametric regression based on the Kernel method. J. Statist. Plann. Inference 103 (2002) 311-329
    • (2002) J. Statist. Plann. Inference , vol.103 , pp. 311-329
    • Dette, H.1
  • 31
    • 0035493550 scopus 로고    scopus 로고
    • Heteroscedasticity checks for regression models
    • Zhu L., Fujikoshi Y., and Naito K. Heteroscedasticity checks for regression models. Sci. China Ser. A 44 (2001) 1236-1252
    • (2001) Sci. China Ser. A , vol.44 , pp. 1236-1252
    • Zhu, L.1    Fujikoshi, Y.2    Naito, K.3
  • 32
    • 0037293583 scopus 로고    scopus 로고
    • Testing homoscedasticity in nonparametric regression
    • Liero H. Testing homoscedasticity in nonparametric regression. J. Nonparametr. Stat. 15 (2003) 31-51
    • (2003) J. Nonparametr. Stat. , vol.15 , pp. 31-51
    • Liero, H.1
  • 33
    • 0000570384 scopus 로고
    • On non-parametric estimates of density functions and regression curves
    • Nadaraya É.A. On non-parametric estimates of density functions and regression curves. J. Probab. Appl. 10 (1964) 186-190
    • (1964) J. Probab. Appl. , vol.10 , pp. 186-190
    • Nadaraya, É.A.1
  • 34
    • 0001762424 scopus 로고
    • Smooth Regression Analysis
    • Watson G.S. Smooth Regression Analysis. Sankhya A 26 (1964) 359-372
    • (1964) Sankhya A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 35
    • 0011297566 scopus 로고
    • Physica Verlag, Heidelberg
    • Müller H.-G. Boundary Effects in Nonparametric Curve Estimation. Compstat vol. 1984 (1984), Physica Verlag, Heidelberg 84-89
    • (1984) Compstat , vol.1984 , pp. 84-89
    • Müller, H.-G.1
  • 38
    • 0034354980 scopus 로고    scopus 로고
    • A note on a specification test of independence
    • Dette H., and Neumeyer N. A note on a specification test of independence. Metrika 51 (2000) 133-144
    • (2000) Metrika , vol.51 , pp. 133-144
    • Dette, H.1    Neumeyer, N.2
  • 40
    • 64449083743 scopus 로고    scopus 로고
    • Smooth residual bootstrap for empirical processes of nonparametric regression residuals
    • in press
    • N. Neumeyer, Smooth residual bootstrap for empirical processes of nonparametric regression residuals. Scand. J. Statist. 2008 (in press)
    • (2008) Scand. J. Statist
    • Neumeyer, N.1
  • 41
    • 33748324384 scopus 로고    scopus 로고
    • R Foundation for Statistical Computing, Vienna, Austria, project.org
    • R Development Core Team, R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org, 2006
    • (2006) R: A language and environment for statistical computing
  • 43
    • 0000006440 scopus 로고
    • Bandwidth choice for nonparametric regression
    • Rice J. Bandwidth choice for nonparametric regression. Ann. Statist. 12 (1984) 1215-1230
    • (1984) Ann. Statist. , vol.12 , pp. 1215-1230
    • Rice, J.1
  • 44
    • 24944468239 scopus 로고    scopus 로고
    • Analysis of Lidar Fields using local polynomial regression
    • Lindström T., Holst U., and Weibring P. Analysis of Lidar Fields using local polynomial regression. Environmetrics 16 (2005) 619-634
    • (2005) Environmetrics , vol.16 , pp. 619-634
    • Lindström, T.1    Holst, U.2    Weibring, P.3
  • 45
    • 0001872520 scopus 로고
    • Central limit theorem of integrated square error of multivariate nonparametric density estimators
    • Hall P. Central limit theorem of integrated square error of multivariate nonparametric density estimators. J. Multivariate Anal. 14 (1984) 1-16
    • (1984) J. Multivariate Anal. , vol.14 , pp. 1-16
    • Hall, P.1
  • 46
    • 0000047875 scopus 로고
    • Martingale central limit theorems
    • Brown B.M. Martingale central limit theorems. Ann. Math. Statist. 42 (1971) 59-66
    • (1971) Ann. Math. Statist. , vol.42 , pp. 59-66
    • Brown, B.M.1
  • 47
    • 0003236153 scopus 로고
    • Martingale limit theory and its application
    • Academic Press, Inc., New York, London
    • Hall P., and Heyde C.C. Martingale limit theory and its application. Probability and Mathematical Statistics (1980), Academic Press, Inc., New York, London
    • (1980) Probability and Mathematical Statistics
    • Hall, P.1    Heyde, C.C.2


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