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Volumn 32, Issue 5, 2004, Pages 1858-1907

Sieve empirical likelihood ratio tests for nonparametric functions

Author keywords

Conditional estimating equations; Nonparametric test; Sieve empirical likelihood; Varying coefficient models; Wilks' theorem

Indexed keywords


EID: 24344436405     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000210     Document Type: Article
Times cited : (43)

References (46)
  • 1
    • 0000357414 scopus 로고
    • On the use of nonparametric regression for checking linear relationships
    • AZZALINI, A. and BOWMAN, A. N. (1993). On the use of nonparametric regression for checking linear relationships. J. Roy. Statist. Soc. Ser. B 55 549-557.
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 549-557
    • Azzalini, A.1    Bowman, A.N.2
  • 3
    • 0001824125 scopus 로고
    • Testing for goodness of fit: A new approach
    • (A. K. Md. E. Salen, ed.) North-Holland, Amsterdam
    • BICKEL, P. J. and RITOV, Y. (1992). Testing for goodness of fit: A new approach. In Nonparametric Statistics and Related Topics (A. K. Md. E. Salen, ed.) 51-57. North-Holland, Amsterdam.
    • (1992) Nonparametric Statistics and Related Topics , pp. 51-57
    • Bickel, P.J.1    Ritov, Y.2
  • 4
    • 0032356568 scopus 로고    scopus 로고
    • Smoothing spline models for the analysis of nested and crossed samples of curves
    • BRUMBACK, B. and RICE, J. A. (1998). Smoothing spline models for the analysis of nested and crossed samples of curves (with discussion). J. Amer. Statist. Assoc. 93 961-994.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 961-994
    • Brumback, B.1    Rice, J.A.2
  • 5
    • 2242444502 scopus 로고    scopus 로고
    • Efficient estimation and inferences for varying-coefficient models
    • CAI, Z., FAN, J. and LI, R. (2000). Efficient estimation and inferences for varying-coefficient models. J. Amer. Statist. Assoc. 95 888-902.
    • (2000) J. Amer. Statist. Assoc. , vol.95 , pp. 888-902
    • Cai, Z.1    Fan, J.2    Li, R.3
  • 6
    • 2242466770 scopus 로고    scopus 로고
    • Functional-coefficient regression models for nonlinear time series
    • CAI, Z., FAN, J. and YAO, Q. (2000). Functional-coefficient regression models for nonlinear time series. J. Amer. Statist. Assoc. 95 941-956.
    • (2000) J. Amer. Statist. Assoc. , vol.95 , pp. 941-956
    • Cai, Z.1    Fan, J.2    Yao, Q.3
  • 8
    • 85053520810 scopus 로고
    • Local regression models
    • (J. M. Chambers and T. J. Hastie, eds.) CRC Press, Boca Raton, FL
    • CLEVELAND, W. S., GROSSE, E. and SHYU, W. M. (1991). Local regression models. In Statistical Models in S (J. M. Chambers and T. J. Hastie, eds.) 309-376. CRC Press, Boca Raton, FL.
    • (1991) Statistical Models in S , pp. 309-376
    • Cleveland, W.S.1    Grosse, E.2    Shyu, W.M.3
  • 9
    • 21144469069 scopus 로고
    • Functional-coefficient autoregressive models
    • CHEN, R. and TSAY, R. S. (1993). Functional-coefficient autoregressive models. J. Amer. Statist. Assoc. 88 298-308.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 298-308
    • Chen, R.1    Tsay, R.S.2
  • 12
    • 21144482103 scopus 로고
    • Testing goodness-of-fit in regression via order selection criteria
    • EUBANK, R. L. and HART, J. D. (1992). Testing goodness-of-fit in regression via order selection criteria. Ann. Statist. 20 1412-1425.
    • (1992) Ann. Statist. , vol.20 , pp. 1412-1425
    • Eubank, R.L.1    Hart, J.D.2
  • 13
    • 21144481988 scopus 로고
    • Asymptotic comparison of Cramér-von Mises and nonparametric function estimation techniques for testing goodness-of-fit
    • EUBANK, R. L. and LARICCIA, V. N. (1992). Asymptotic comparison of Cramér-von Mises and nonparametric function estimation techniques for testing goodness-of-fit. Ann. Statist. 20 2071-2086.
    • (1992) Ann. Statist. , vol.20 , pp. 2071-2086
    • Eubank, R.L.1    Lariccia, V.N.2
  • 14
    • 84950423285 scopus 로고
    • Design-adaptive nonparametric regression
    • FAN, J. (1992). Design-adaptive nonparametric regression. J. Amer. Statist. Assoc. 87 998-1004.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 998-1004
    • Fan, J.1
  • 15
    • 0030549054 scopus 로고    scopus 로고
    • Test of significance based on wavelet thresholding and Neyman's truncation
    • FAN, J. (1996). Test of significance based on wavelet thresholding and Neyman's truncation. J. Amer. Statist. Assoc. 91 674-688.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 674-688
    • Fan, J.1
  • 16
    • 1542678352 scopus 로고    scopus 로고
    • Goodness-of-fit test for parametric regression models
    • FAN, J. and HUANG, L. (2001). Goodness-of-fit test for parametric regression models. J. Amer. Statist. Assoc. 96 640-652.
    • (2001) J. Amer. Statist. Assoc. , vol.96 , pp. 640-652
    • Fan, J.1    Huang, L.2
  • 17
    • 0035633948 scopus 로고    scopus 로고
    • Generalized likelihood ratio statistics and Wilks phenomenon
    • FAN, J., ZHANG, C. and ZHANG, J. (2001). Generalized likelihood ratio statistics and Wilks phenomenon. Ann. Statist. 29 153-193.
    • (2001) Ann. Statist. , vol.29 , pp. 153-193
    • Fan, J.1    Zhang, C.2    Zhang, J.3
  • 18
    • 0033233728 scopus 로고    scopus 로고
    • Statistical estimation in varying coefficient models
    • FAN, J. and ZHANG, W. (1999). Statistical estimation in varying coefficient models. Ann. Statist. 27 1491-1518.
    • (1999) Ann. Statist. , vol.27 , pp. 1491-1518
    • Fan, J.1    Zhang, W.2
  • 19
    • 0030353969 scopus 로고    scopus 로고
    • Consistent model specification tests: Omitted variables and semiparametric functional forms
    • FAN, Y. and LI, Q. (1996). Consistent model specification tests: Omitted variables and semiparametric functional forms. Econometrica 64 865-890.
    • (1996) Econometrica , vol.64 , pp. 865-890
    • Fan, Y.1    Li, Q.2
  • 21
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • HÄRDLE, W. and MAMMEN, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Statist. 21 1926-1947.
    • (1993) Ann. Statist. , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 25
    • 0242510033 scopus 로고    scopus 로고
    • Inference on predictability of foreign exchange rates via generalized spectrum and nonlinear time series models
    • HONG, Y. and LEE, T.-H. (2003). Inference on predictability of foreign exchange rates via generalized spectrum and nonlinear time series models. Rev. Econom. Statist. 85 1048-1062.
    • (2003) Rev. Econom. Statist. , vol.85 , pp. 1048-1062
    • Hong, Y.1    Lee, T.-H.2
  • 26
    • 0034991055 scopus 로고    scopus 로고
    • An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative
    • HOROWITZ, J. L. and SPOKOINY, G. G. (2001). An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative. Econometrica 69 599-631.
    • (2001) Econometrica , vol.69 , pp. 599-631
    • Horowitz, J.L.1    Spokoiny, G.G.2
  • 27
    • 0036746457 scopus 로고    scopus 로고
    • An adaptive, rate-optimal test of linearity for median regression models
    • HOROWITZ, J. L. and SPOKOINY, G. G. (2002). An adaptive, rate-optimal test of linearity for median regression models. J. Amer. Statist. Assoc. 97 822-835.
    • (2002) J. Amer. Statist. Assoc. , vol.97 , pp. 822-835
    • Horowitz, J.L.1    Spokoiny, G.G.2
  • 28
    • 0030363428 scopus 로고    scopus 로고
    • Asymptotic optimality of data-driven Neyman's tests for uniformity
    • INGLOT, T. and LEDWINA, T. (1996). Asymptotic optimality of data-driven Neyman's tests for uniformity. Ann. Statist. 24 1982-2019.
    • (1996) Ann. Statist. , vol.24 , pp. 1982-2019
    • Inglot, T.1    Ledwina, T.2
  • 29
    • 0003058689 scopus 로고
    • Asymptotically minimax hypothesis testing for nonparametric alternatives. I-III
    • INGSTER, YU. I. (1993). Asymptotically minimax hypothesis testing for nonparametric alternatives. I-III. Math. Methods Statist. 2 85-114, 171-189, 249-268.
    • (1993) Math. Methods Statist. , vol.2 , pp. 85-114
    • Ingster, Yu.I.1
  • 30
    • 21744458278 scopus 로고    scopus 로고
    • Data-driven smooth tests when the hypothesis is composite
    • KALLENBERG, W. C. M. and LEDWINA, T. (1997). Data-driven smooth tests when the hypothesis is composite. J. Amer. Statist. Assoc. 92 1094-1104.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 1094-1104
    • Kallenberg, W.C.M.1    Ledwina, T.2
  • 31
    • 0031529223 scopus 로고    scopus 로고
    • Empirical likelihood methods with weakly dependent processes
    • KITAMURA, Y. (1997). Empirical likelihood methods with weakly dependent processes. Ann. Statist. 25 2084-2102.
    • (1997) Ann. Statist. , vol.25 , pp. 2084-2102
    • Kitamura, Y.1
  • 32
    • 21844521480 scopus 로고
    • Semiparametric regression functionals
    • LEBLANC, M. and CROWLEY, J. (1995). Semiparametric regression functionals. J. Amer. Statist. Assoc. 90 95-105.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 95-105
    • Leblanc, M.1    Crowley, J.2
  • 33
    • 70350342017 scopus 로고
    • Efficient estimation of models with conditional moment restrictions
    • (G. S. Maddala, C. R. Rao and H. D. Vinod, eds.) North-Holland, Amsterdam
    • NEWEY, W. K. (1993). Efficient estimation of models with conditional moment restrictions. In Econometrics. Handbook of Statistics 11 (G. S. Maddala, C. R. Rao and H. D. Vinod, eds.) 419-453. North-Holland, Amsterdam.
    • (1993) Econometrics. Handbook of Statistics , vol.11 , pp. 419-453
    • Newey, W.K.1
  • 34
    • 0000060427 scopus 로고
    • Empirical likelihood ratio confidence intervals for a single functional
    • OWEN, A. B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75 237-249.
    • (1988) Biometrika , vol.75 , pp. 237-249
    • Owen, A.B.1
  • 35
    • 0002552463 scopus 로고
    • Empirical likelihood ratio confidence regions
    • OWEN, A. B. (1990). Empirical likelihood ratio confidence regions. Ann. Statist. 18 90-120.
    • (1990) Ann. Statist. , vol.18 , pp. 90-120
    • Owen, A.B.1
  • 37
    • 0347609095 scopus 로고
    • Empirical likelihood and general estimating equations
    • QIN, J. and LAWLESS, J. (1994). Empirical likelihood and general estimating equations. Ann. Statist. 22 300-325.
    • (1994) Ann. Statist. , vol.22 , pp. 300-325
    • Qin, J.1    Lawless, J.2
  • 39
    • 0030342998 scopus 로고    scopus 로고
    • Adaptive hypothesis testing using wavelets
    • SPOKOINY, V. G. (1996). Adaptive hypothesis testing using wavelets. Ann. Statist. 24 2477-2498.
    • (1996) Ann. Statist. , vol.24 , pp. 2477-2498
    • Spokoiny, V.G.1
  • 42
    • 0001972601 scopus 로고
    • The large-sample distribution of the likelihood ratio for testing composite hypotheses
    • WILKS, S. S. (1938). The large-sample distribution of the likelihood ratio for testing composite hypotheses. Ann. Math. Statist. 9 60-62.
    • (1938) Ann. Math. Statist. , vol.9 , pp. 60-62
    • Wilks, S.S.1
  • 43
    • 0032283833 scopus 로고    scopus 로고
    • Asymptotic confidence regions for kernel smoothing of a varying-coefficient model with longitudinal data
    • WU, C. O., CHIANG, C.-T. and HOOVER, D. R. (1998). Asymptotic confidence regions for kernel smoothing of a varying-coefficient model with longitudinal data. J. Amer. Statist. Assoc. 93 1388-1401.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 1388-1401
    • Wu, C.O.1    Chiang, C.-T.2    Hoover, D.R.3
  • 44
    • 0242427746 scopus 로고    scopus 로고
    • Adaptive tests of regression functions via multi-scale generalized likelihood ratios
    • ZHANG, C. M. (2003). Adaptive tests of regression functions via multi-scale generalized likelihood ratios. Canad. J. Statist. 31 151-171.
    • (2003) Canad. J. Statist. , vol.31 , pp. 151-171
    • Zhang, C.M.1
  • 45
    • 0037769838 scopus 로고    scopus 로고
    • Sieve empirical likelihood and extensions of generalized least squares
    • ZHANG, J. and GIJBELS, I. (2003). Sieve empirical likelihood and extensions of generalized least squares. Scand. J. Statist. 30 1-24.
    • (2003) Scand. J. Statist. , vol.30 , pp. 1-24
    • Zhang, J.1    Gijbels, I.2
  • 46
    • 85037874367 scopus 로고    scopus 로고
    • Local polynomial fitting based on empirical likelihood
    • ZHANG, J. and LIU, A. (2003). Local polynomial fitting based on empirical likelihood. Bernoulli 9 579-605.
    • (2003) Bernoulli , vol.9 , pp. 579-605
    • Zhang, J.1    Liu, A.2


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