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Original Articles

Testing Linear Regression Models in Non Regular Case

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Pages 4476-4490 | Received 23 Dec 2012, Accepted 08 Mar 2013, Published online: 11 Nov 2015

References

  • Dette, H. (1999). A consistent test for the functional form of a regression based on a difference of variance estimators. Ann. Stat. 27(3): 1012–1040.
  • Dette, H., Munk, A. (1998). Validation of linear regression models. Ann. Stat. 26(2): 778–800.
  • Dette, H., Munk, A., Wagner, T. (1998). Estimating the variance in nonparametric regression - what is a reasonable choice?J. Roy. Stat. Soc. Ser. B 60(4): 751–764.
  • Dette, H., Hetzler, B. (2009). A simple test for the parametric form of the variance function in nonparametric regression. Ann. Inst. Stat. Math. 61(4): 861–886.
  • Dette, H., Marchlewski, M. (2008). A test for the parametric form of the variance function in a partial linear regression model. J. Stat. Plan. Inf. 138(10): 3005–3021.
  • Eubank, R.L., Hart, J.D. (1992). Testing goodness-of-fit in regression via order selection criteria. Ann. Stat. 20(3): 1412–1425.
  • Eubank, R.L., Spiegelman, C.H. (1990). Testing the goodness-of-fit of a linear model via nonparametric regression techniques. J. Am. Stat. Assoc. 85(410): 387–392.
  • Gasser, T., Sroka, L., Jennen-Steinmetz, C. (1986). Residual variance and residual pattern in nonlinear regression. Biometrika 73(3): 625–633.
  • González-Manteiga, W., Cao, R. (1993). Testing the hypothesis of a general linear model using nonparametric regression estimation. Test 2(1–2): 161–188.
  • Härdle, W., Mammen, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Stat. 21(4): 1926–1947.
  • Khmaladze, E.V., Koul, H.L. (2004). Martingale transforms goodness-of-fit tests in regression models. Ann. Stat. 32(3): 995–1034.
  • Koul, H.L. (2011). Minimum distance lack-of-fit tests for fixed design. J. Stat. Plan. Inf. 141(1): 65–79.
  • Koul, H.L., Aggarwal, D. (2008). Minimum empirical distance goodness-of-fit tests for current status data. J. Ind. Stat. Assoc. 46(2): 79–125.
  • Koul, H.L., Ni, P. (2004). Minimum distance regression model checking. J. Stat. Plan. Inf. 119(1): 109–141.
  • Liebscher, E. (2012). Model checks for parametric regression models. Test 21(1): 132–155.
  • Mohdeb, Z., Mokkadem, A. (2004). Average squared residuals approach for testing linear hypothesis in nonparametric regression. J. Nonparametric Stat. 16(1–2): 3–12.
  • Munk, A., Dette, H. (1998). Nonparametric comparison of several regression functions: exact and asymptotic theory. Ann. Stat. 26(6): 2339–2368.
  • Orey, S. (1958). A central limit theorem for m-dependent random variables. Duke Math. J. 25(4): 543–546.
  • Stute, W. (1997). Nonparametric model checks for regression. Ann. Stat. 25(2): 613–641.
  • You, J., Chen, G. (2005). Testing heteroscedasticity in partially linear regression models. Stat. Probab. Lett. 73(1): 61–70.

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