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Volumn 23, Issue 6, 2009, Pages 275-282

Nonlinear regression checking via local polynomial smoothing with applications to thermogravimetric analysis

Author keywords

Goodness of fit; Hypothesis testing; Logistic mixture model; Nonparametric regression

Indexed keywords

STATISTICAL TESTS; THERMOGRAVIMETRIC ANALYSIS;

EID: 67649845990     PISSN: 08869383     EISSN: 1099128X     Source Type: Journal    
DOI: 10.1002/cem.1227     Document Type: Article
Times cited : (8)

References (38)
  • 1
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle W, Mammen E. Comparing nonparametric versus parametric regression fits. Ann. Stat. 1993; 21:1926-1947.
    • (1993) Ann. Stat , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 2
    • 51249161915 scopus 로고
    • Testing hypothesis of general linear model using non-parametric regression estimators
    • Gonzáiez-Manteiga W, Cao R. Testing hypothesis of general linear model using non-parametric regression estimators. Test 1993; 2:161-189.
    • (1993) Test , vol.2 , pp. 161-189
    • Gonzáiez-Manteiga, W.1    Cao, R.2
  • 4
    • 0001209445 scopus 로고
    • Testing linear regression models using non-parametric regression estimators when errors are non-independent
    • González-Manteiga W, Vilar JM. Testing linear regression models using non-parametric regression estimators when errors are non-independent. Comput. Stat. Data Anal. 1995; 20:521-541.
    • (1995) Comput. Stat. Data Anal , vol.20 , pp. 521-541
    • González-Manteiga, W.1    Vilar, J.M.2
  • 5
    • 0000617856 scopus 로고    scopus 로고
    • A consistent test of functional form via nonparametric estimation techniques
    • Zheng JX. A consistent test of functional form via nonparametric estimation techniques. J. Econom. 1996; 75:263-289.
    • (1996) J. Econom , vol.75 , pp. 263-289
    • Zheng, J.X.1
  • 6
    • 0032265107 scopus 로고    scopus 로고
    • Testing parametric versus semiparametric modeling in generalized linear models
    • Härdle W, Mammen E, Müller M. Testing parametric versus semiparametric modeling in generalized linear models. J. Am. Stat. Assoc. 1998; 93:1461-1474.
    • (1998) J. Am. Stat. Assoc , vol.93 , pp. 1461-1474
    • Härdle, W.1    Mammen, E.2    Müller, M.3
  • 7
    • 0346937817 scopus 로고    scopus 로고
    • A simple consistent bootstrap test for a parametric regression function
    • Li Q, Wang SJ. A simple consistent bootstrap test for a parametric regression function. J. Econom. 1998; 87:145-165.
    • (1998) J. Econom , vol.87 , pp. 145-165
    • Li, Q.1    Wang, S.J.2
  • 8
    • 0032536638 scopus 로고    scopus 로고
    • Testing the hypothesis of a generalized linear regression model using nonparametric regression estimation
    • Rodríguez-Campos MC, González-Manteiga W, Cao R. Testing the hypothesis of a generalized linear regression model using nonparametric regression estimation. J. Stat. Plan. Inference 1998; 67:99-122.
    • (1998) J. Stat. Plan. Inference , vol.67 , pp. 99-122
    • Rodríguez-Campos, M.C.1    González-Manteiga, W.2    Cao, R.3
  • 9
    • 0032344431 scopus 로고    scopus 로고
    • Validation of linear regression models
    • Dette H, Munk A. Validation of linear regression models. Ann. Stat. 1998; 26:778-800.
    • (1998) Ann. Stat , vol.26 , pp. 778-800
    • Dette, H.1    Munk, A.2
  • 11
    • 0033149329 scopus 로고    scopus 로고
    • Testing a regression model when we have smooth alternatives in mind
    • Härdle W, Kneip A. Testing a regression model when we have smooth alternatives in mind. Scand. Stat. Theory Appl. 1999; 26:221-238.
    • (1999) Scand. Stat. Theory Appl , vol.26 , pp. 221-238
    • Härdle, W.1    Kneip, A.2
  • 12
    • 0343807122 scopus 로고    scopus 로고
    • Resampling for checking linear regression models via non-parametric regression estimation
    • Vilar JM, González-Manteiga W. Resampling for checking linear regression models via non-parametric regression estimation. Comput. Stat. Data Anal. 2000; 35:211-231.
    • (2000) Comput. Stat. Data Anal , vol.35 , pp. 211-231
    • Vilar, J.M.1    González-Manteiga, W.2
  • 13
    • 0242467618 scopus 로고    scopus 로고
    • Minimum distance regression model checking
    • Koul HL, Ni P. Minimum distance regression model checking. J. Stat. Plan. Inference 2004; 119:109-141.
    • (2004) J. Stat. Plan. Inference , vol.119 , pp. 109-141
    • Koul, H.L.1    Ni, P.2
  • 14
    • 33744778082 scopus 로고    scopus 로고
    • Goodness-of-fit tests for linear regression models with missing response data
    • González-Manteiga W, Pérez-González A. Goodness-of-fit tests for linear regression models with missing response data. Can. J. Stat. 2006; 34:149-170.
    • (2006) Can. J. Stat , vol.34 , pp. 149-170
    • González-Manteiga, W.1    Pérez-González, A.2
  • 15
    • 0031520116 scopus 로고    scopus 로고
    • Nonparametric model checks for regression
    • Stute W. Nonparametric model checks for regression. Ann. Stat. 1997; 25:613-641.
    • (1997) Ann. Stat , vol.25 , pp. 613-641
    • Stute, W.1
  • 17
    • 0032271144 scopus 로고    scopus 로고
    • Model checks for regression: An innovation process approach
    • Stute W, Thies S, Zhu LX. Model checks for regression: an innovation process approach. Ann. Stat. 1998; 26:1916-1934.
    • (1998) Ann. Stat , vol.26 , pp. 1916-1934
    • Stute, W.1    Thies, S.2    Zhu, L.X.3
  • 18
    • 0035648087 scopus 로고    scopus 로고
    • Testing generalized linear and semiparametric models against smooth alternatives
    • Kauermann G, Tutz G. Testing generalized linear and semiparametric models against smooth alternatives. J. R. Stat. Soc. Series B Stat. Methodol. 2001; 63:147-166.
    • (2001) J. R. Stat. Soc. Series B Stat. Methodol , vol.63 , pp. 147-166
    • Kauermann, G.1    Tutz, G.2
  • 19
    • 31244432555 scopus 로고    scopus 로고
    • On testing the goodness-of-fit of nonlinear heteroscedastic regression models
    • Diebolt J, Zuber J. On testing the goodness-of-fit of nonlinear heteroscedastic regression models. Commun. Stat-Simul. Comput. 2001; 30:195-216.
    • (2001) Commun. Stat-Simul. Comput , vol.30 , pp. 195-216
    • Diebolt, J.1    Zuber, J.2
  • 20
    • 23744440060 scopus 로고    scopus 로고
    • Nonparametric checks for single-index models
    • Stute W, Zhu LX. Nonparametric checks for single-index models. Ann. Stat. 2005; 33:1048-1083.
    • (2005) Ann. Stat , vol.33 , pp. 1048-1083
    • Stute, W.1    Zhu, L.X.2
  • 21
    • 0036191616 scopus 로고    scopus 로고
    • Model-checking techniques based on cumulative residuals
    • Lin DY, Wei LJ, Ying Z. Model-checking techniques based on cumulative residuals. Biometrics 2002; 58:1-12.
    • (2002) Biometrics , vol.58 , pp. 1-12
    • Lin, D.Y.1    Wei, L.J.2    Ying, Z.3
  • 22
    • 0041309830 scopus 로고    scopus 로고
    • Nonparametric comparison of regression curves: An empirical process approach
    • Neumeyer N, Dette H. Nonparametric comparison of regression curves: An empirical process approach. Ann. Stat. 2003; 31:880-920.
    • (2003) Ann. Stat , vol.31 , pp. 880-920
    • Neumeyer, N.1    Dette, H.2
  • 23
    • 0038383116 scopus 로고    scopus 로고
    • Model checking of dimension-reduction type for regression
    • Zhu LX. Model checking of dimension-reduction type for regression. Stat. Sin. 2003; 13:283-296.
    • (2003) Stat. Sin , vol.13 , pp. 283-296
    • Zhu, L.X.1
  • 24
    • 23944511873 scopus 로고    scopus 로고
    • Martingale transforms goodness-of-fit tests in regression models
    • Khmaladze EV, Koul HL. Martingale transforms goodness-of-fit tests in regression models. Ann. Stat. 2004; 32:995-1034.
    • (2004) Ann. Stat , vol.32 , pp. 995-1034
    • Khmaladze, E.V.1    Koul, H.L.2
  • 25
    • 0035995081 scopus 로고    scopus 로고
    • Model checks for generalized linear models
    • Stute W, Zhu LX. Model checks for generalized linear models. Scand. Stat. Theor Appl. 2002; 29:535-545.
    • (2002) Scand. Stat. Theor Appl , vol.29 , pp. 535-545
    • Stute, W.1    Zhu, L.X.2
  • 26
    • 33845763322 scopus 로고    scopus 로고
    • A consistent diagnostic test for regression models using projections
    • Escanciano JC. A consistent diagnostic test for regression models using projections. Econ. Theory 2006; 22:1030-1051.
    • (2006) Econ. Theory , vol.22 , pp. 1030-1051
    • Escanciano, J.C.1
  • 27
    • 34247236219 scopus 로고    scopus 로고
    • Logistic mixture model vs Arrhenius for kinetic study of degradation of materials by dynamic thermogravimetric analysis
    • Naya S, Cao R, López-de-Ullibarri I, Artiaga R, Barbadillo F, García A. Logistic mixture model vs Arrhenius for kinetic study of degradation of materials by dynamic thermogravimetric analysis. J. Chemom. 2006; 20:158-163.
    • (2006) J. Chemom , vol.20 , pp. 158-163
    • Naya, S.1    Cao, R.2    López-de-Ullibarri, I.3    Artiaga, R.4    Barbadillo, F.5    García, A.6
  • 29
    • 0000091003 scopus 로고
    • Asymptotic properties of non-linear least squares estimators
    • Jennrich RI. Asymptotic properties of non-linear least squares estimators. Ann. Math. Stat. 1969; 40:633-643.
    • (1969) Ann. Math. Stat , vol.40 , pp. 633-643
    • Jennrich, R.I.1
  • 30
    • 0000480451 scopus 로고
    • Asymptotic theory of nonlinear least squares estimation
    • Wu CF. Asymptotic theory of nonlinear least squares estimation. Ann. Stat. 1981; 9:501-513.
    • (1981) Ann. Stat , vol.9 , pp. 501-513
    • Wu, C.F.1
  • 33
    • 67649869454 scopus 로고    scopus 로고
    • Local polynomial estimation of TGA derivatives using logistic regression for pilot bandwidth selection
    • Naya S, Cao R, Artiaga R. Local polynomial estimation of TGA derivatives using logistic regression for pilot bandwidth selection. Thermochim. Acta 2003; 6:319-322.
    • (2003) Thermochim. Acta , vol.6 , pp. 319-322
    • Naya, S.1    Cao, R.2    Artiaga, R.3
  • 35
    • 84947934780 scopus 로고
    • An effective bandwidth selector for local least squares regression
    • Ruppert D, Sheather SJ, Wand MP. An effective bandwidth selector for local least squares regression. J. Am. Stat. Assoc. 1995; 90:1257-1267.
    • (1995) J. Am. Stat. Assoc , vol.90 , pp. 1257-1267
    • Ruppert, D.1    Sheather, S.J.2    Wand, M.P.3
  • 38
    • 34250109475 scopus 로고
    • A central limit theorem for generalized quadratic forms
    • de Jong P. A central limit theorem for generalized quadratic forms. Probab. Theory Relat. Fields 1987; 75:261-277.
    • (1987) Probab. Theory Relat. Fields , vol.75 , pp. 261-277
    • de Jong, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.