Empirical likelihood based diagnostics for heteroscedasticity in semiparametric varying-coefficient partially linear errors-in-variables models

References

• Engle, F. et al. 1986. Semiparametric estimates of the relation between weather and electricity sales. Journal of the American Statistical Association 80:310–9.
   Web of Science ®Google Scholar
• Fan, J., and T. Huang. 2005. Profile likelihood inferences on semi-parametric varying-coefficient partially linear models. Bernoulli 11:1031C1057.
   Web of Science ®Google Scholar
• Fan, G. L., H. Y. Liang, and J. F. Wang. 2013. Empirical likelihood for heteroscedastic partially linear errors-in-variables model with α-mixing errors. Statistical Papers 54 (1):85–112.
   Web of Science ®Google Scholar
• Fan, G. L., H. X. Xu, and Z. S. Huang. 2016. Empirical likelihood for semivarying coefficient model with measurement error in the nonparametric part. AStA Advances in Statistical Analysis 100 (1):21–41.
   Web of Science ®Google Scholar
• Gaffke, N., U. Grahoff, and R. Schwabe. 2014. Algorithms for approximate linear regression design with application to a first order model with heteroscedasticity. Computational Statistics and Data Analysis 71 (71):1113–23.
   Google Scholar
• Gao, J. T. 1995. Asymptotic theory for partly linear models. Communications in StatisticsC Theory and Methods 24:1985–2010.
   Web of Science ®Google Scholar
• Hu, X., Z. Wang, and Z. Zhao. 2009. Empirical likelihood for semiparametric varying-coefficient partially linear errors-in-variables models. Statistics and Probability Letters 79 (8):1044–52.
   Web of Science ®Google Scholar
• Kreiberg, D., T. S?derstr?m, and Y. W. Fan. 2016. Errors-in-variables system identification using structural equation modeling. Automatica 66:218–30.
   Web of Science ®Google Scholar
• Liang, H. 2012. Empirical likelihood for semiparametric Varying-coefficient heteroscedastic partially linear models. Journal of Mathematical Research with Applications 32 (1):95–107.
   Google Scholar
• Lin, J. G., Y. Y. Zhao, and H. X. Wang. 2015. Heteroscedasticity diagnostics in varying-coefficient partially linear regression models and applications in analyzing Boston housing data. Journal of Applied Statistics 42 (11):1–17.
   PubMed Web of Science ®Google Scholar
• Lin, J. G., L. X. Zhu, and F. C. Xie. 2009. Heteroscedasticity diagnostics for t, linear regression models. Metrika 70 (1):59–77.
   Web of Science ®Google Scholar
• Owen, A. B. 1988. Empirical likelihood ratio confidence intervals for single functional. Biometrika 75:237C249.
   Web of Science ®Google Scholar
• Owen, A. B. 1990. Empirical likelihood ratio confidence regions. The Annals of Statistics 18:90C120.
   Web of Science ®Google Scholar
• Owen, A. B. 1991. Empirical likelihood ratio for linear models. The Annals of Statistics 19:1725C1747.
   Web of Science ®Google Scholar
• Owen, A. B. 2001. Empirical Likelihood. Chapman and Hall CRC, London, Boca Raton, FL.
   Google Scholar
• Park, B. U., E. Mammen, Y. K. Lee. et al. 2015. Varying coefficient regression models: A review and new developments. International Statistical Review 83 (1):36–64.
   Web of Science ®Google Scholar
• Shalabh. 2011. Measurement error: Models, methods and applications. Journal of the Royal Statistical Society: Series A (Statistics in Society) 174 (2):506–7.
   Google Scholar
• Su, L., Y. Zhao, T. Yan. et al. 2012. Local polynomial estimation of heteroscedasticity in a multivariate linear regression model and its applications in economics. Plos One 7 (9):e43719.
   PubMed Web of Science ®Google Scholar
• Wang, L., L. Xue, A. Qu. et al. 2014. Estimation and model selection in generalized additive partial linear models for correlated data with diverging number of covariates. The Annals of Statistics 42 (2):592–624.
   Web of Science ®Google Scholar
• Wiedermann, W., R. Artner, and E. A. Von. 2017. Heteroscedasticity as a basis of direction dependence in reversible linear regression models. Multivariate Behavioral Research 2017:222–41.
   Google Scholar
• Wong, H., F. Liu, M. Chen. et al. 2009a. Empirical likelihood based diagnostics for heteroscedasticy in partial linear models. Computational Statistics and Data Analysis 53 (9):3466–77.
   Web of Science ®Google Scholar
• Wong, H., F. Liu, M. Chen. et al. 2009b. Empirical likelihood based diagnostics for heteroscedasticity in partially linear errors-in-variables models. Journal of Statistical Planning and Inference 139 (3):916–29.
   Web of Science ®Google Scholar
• Xu, P., and J. Liu. 2014. Variance components in errors-in-variables models: estimability, stability and bias analysis. Journal of Geodesy 88 (8):719–34.
   Web of Science ®Google Scholar
• You, J., and G. Chen. 2017. Wild bootstrap estimation in partially linear models with heteroscedasticity. Statistics and Probability Letters 76 (4):340–48.
   Google Scholar
• You, J., and G. Chen. 2005. Testing heteroscedasticity in partially linear regression models. Statistics and Probability Letters 73:61–70.
   Web of Science ®Google Scholar
• You, J., and G. Chen. 2006. Estimation of a semiparametric varying-coefficient partially linear errors-in-variables model. Journal of Multivariate Analysis 97:324C341.
   Web of Science ®Google Scholar
• You, J., and Y. Zhou. 2006. Empirical likelihood for semiparametric varying-coefficient partially linear regression models. Statistics and Probability Letters 76 (4):412–22.
   Web of Science ®Google Scholar
• Zhao, P., and L. Xue. 2010. Variable selection for semiparametric varying coefficient partially linear errors-in-variables models. Journal of Multivariate Analysis 101 (8):1872–83.
   Web of Science ®Google Scholar