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Original Articles

Testing of Homogeneity for Correlation and Variance in Nonlinear Regression Models with DBL(p, 0, 1) Random Errors

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Pages 2441-2463 | Published online: 02 Sep 2006

References

  • Beran , J. 1992 . Statistical methods for data with long-range dependence . Statist. Sci. , 7 : 404 – 427 .
  • Chi , E. M. and Reinsel , G. C. 1989 . Models for longitudinal data with random effects and AR(1) errors . J. Amer. Stat. Assoc. , 84 : 452 – 459 .
  • Cook , R. D. and Weisberg , S. 1983 . Diagnostics for heteroscedasticity in regression . Biometrika , 70 : 1 – 10 .
  • Cox , D. R. and Hinkley , D. V. 1974 . Theoretical statistics London : Chapman and Hall .
  • Epps , T. W. and EPPS , M. L. 1977 . The robustness of some standard tests for autocorrelation and heteroscedasticity when both problems are present . Econometrica , 45 : 745 – 753 .
  • Fraccaro , R. , Hyndman , R. J. and Veevers , A. 2000 . Residual diagnostic plots for checking for model mis-specification in time series regression . Aust. N.Z.J. Stat. , 42 : 463 – 477 .
  • Garr , M. M. 1988 . On the third-order moment structure and spectral analysis of some bilinear time series . J. Time Series Analysis , 9 : 11 – 20 .
  • Guegan , D. and Pham , T. D. 1992 . Power of the score test against bilinear time series models . Statist. Sinica , 2 : 157 – 169 .
  • Harrison , M. J. and Mccabe , B. P. M. 1979 . A test for heteroscedasticity based on ordinary least squares residuals . J. Am. Statist. Assoc. , 74 : 494 – 500 .
  • Kantz , H. and Schreiber , T. 1997 . Nonlinear Time Series Analysis Cambridge University Press .
  • Lin , J. G. and WEI , B. C. 2003 . Testing for heteroscedasticity in nonlinear regression models . Comm. Statist. Theory—Method , 32 : 171 – 192 .
  • Seber , G. A. F. and Wild , C. L. 1989 . Nonlinear Regression New York : Wiley .
  • Tran , L. T. , Roussas , G. G. , Yakowitz , S. and Truong , V. 1996 . Fixed-design regression for linear time series . Ann. Statist. , 24 : 975 – 991 .
  • Tsai , C. L. 1986 . Score test for the first-order autoregreesive model with heteroscedasticity . Biometrika , 73 : 455 – 460 .
  • Tsay , R. S. 1984 . Regression models with time series errors . J. Amer. Statist. Assoc. , 79 : 118 – 124 .

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