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Original Articles

Two Adjusted Empirical-Likelihood-Based Methods in Generalized Varying-Coefficient Partially Linear Model

Pages 2252-2263 | Received 08 Jun 2012, Accepted 10 Dec 2012, Published online: 12 Jun 2014

References

  • Cai, Z., Fan, J., Li, R. (2000). Efficient estimation and inferences for varying-coefficient models. Journal of The American Statistical Association 95:888–902.
  • Chen, R., Tsay, S. (1993). Functional-coefficient autoregressive models. Journal of the American Statistical Association 88:298–308.
  • Fan, J.Q., Gijbels, I. (1996). Local Polynomial Modeling and its Applications. London: Chapman and Hall.
  • Fan, J.Q., Huang, T. (2005). Profile likelihood inferences on semiparametric varying-coefficient partially linear models. Bernoulli 11:1031–1057.
  • Fan, J.Q., Zhang, W.Y. (1999). Statistical estimation in varying-coefficient models. The Annals of Statistics 27:1491–1518.
  • Green, P.J., Silverman, B.W. (1994). Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach. London: Chapman and Hall.
  • Härdle, W., Liang, H., Gao, J. (2000). Partially Linear Models. Heidelberg: Springer.
  • Hastie, T.J., Tibshirani, R. (1993). Varying-coefficient models. Journal of Royal Statistical Society B 55:757–796.
  • Huang, Z.S. (2009). Empirical likelihood for nonparametric parts in semiparametric varying-coefficient partially linear models. Statistics Probability Letters 79:1798–1808.
  • Huang, Z.S. (2011). Empirical likelihood for generalized partially linear varying-coefficient models. Journal of Applied Statistics 38:1265–1275.
  • Huang, Z.S., Zhang, R. (2010). Empirical likelihood for the varying-coefficient single-index model. The Canadian Journal of Statistics 38:434–452.
  • Lam, C., Fan, J.Q. (2008). Profile-kernel likelihood inference with diverging number of parameters. The Annals of Statistics 36:2232–2260.
  • Li, R., Liang, H. (2008). Variable selection in semiparametric regression modeling. The Annals of Statistics 36:261–286.
  • Liang, H., Qin, Y., Zhang, X., Ruppert, D. (2009). Empirical likelihood-based inferences for generalized partially linear models. Scandinavian Journal of Statistics 36:433–443.
  • Lu, Y.Q. (2008). Generalized partially linear varying-coefficient models. Journal of Statistical Planning and Inference 138:901–914.
  • McCullagh, P., Nelder, J.A. (1989). Generalized Linear Models (2nd ed.). London: Chapman and Hall.
  • Owen, A.B. (1988). Empirical likelihood ratio confidence intervals for a single function. Biometrika 75:237–249.
  • Owen, A.B. (1991). Empirical likelihood for linear models. The Annals of Statistics 19:1725–1747.
  • Owen, A. B. (2001). Empirical Likelihood. Boca Raton, FL: Chapman & Hall/CRC.
  • Rao, J. N.K., Scott, A.J. (1981). The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables. Journal of The American Statistical Association 76:221–230.
  • Severini, T.A., Staniswalis, J.G. (1994). Qasi-likelihood estimation in semiparametric models. Journal of The American Statistical Association 89:501–511.
  • Severini, T.A., Wong, W.H. (1992). Profile likelihood and conditionally parametric models. The Annals of Statistics 20:1768–1802.
  • Shi, J., Lau, T.S. (2000). Empirical likelihood for partially linear models. Journal of Multivariate Analysis 41:425433.
  • Wang, Q.H., Rao, J. N.K. (2002). Empirical likelihood-based inference in linear errors-in-covariables models with validation data. Biometrika 89:345–358.
  • Wu, C.O., Chiang, C.T., Hoover, D.R. (1998). Asymptotic confidence regions for kernel smoothing of a varying-coefficient model with longitudinal data. Journal of the American Statistical Association 93:1388–1402.
  • Xia, Y., Zhang, W., Tong, H. (2004). Efficient estimation for semivarying coefficient models. Biometrika 91:661–681.
  • Xue, L.G., Zhu, L.X. (2007). Empirical likelihood for a varying coefficient model with longitudinal data. Journal of The American Statistical Association 102:642–654.
  • Zhang, W., Lee, S.Y., Song, X. (2002). Local polynomial fitting in semivarying coefficient models. Journal of Multivariate Analysis 82:166–188.
  • Zhu, L.X., Xue, L.G. (2006). Empirical likelihood confidence regions in a partially linear single-index model. Journal of Royal Statistical Society B 68:549–570.

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