The following publications are listed in chronological order (authors with * are my former or ongoing students.)


  • Wu, L., Liu, W., and Zhang, H. (2019). Mixed Effects Models with MeasurementĀ  Errors in Time-dependent Covariates in CRC Handbook on Measurement Error Models.
  • Wu, L. and Liu, W. (2013). Nonlinear Models inĀ The Sage Handbook of Multilevel Modeling, 249-270.


  • Liu, W. and Wei, D.* (2020). Joint Likelihood Inference for Semiparametric Nonlinear Mixed-Effects Models with Covariate Measurement Errors and Change Points. Submitted.
  • Zhang, Y.*, Liu, W., and Qiu, W. (2020). A Model-Based Clustering via Mixture of Bayesian Hierarchical Models with Covariate Adjustment for Detecting Differentially Expressed Genes from Paired Design. Submitted.
  • Ye, X., Liu, W., Heidari, A. A., Wang, M., and Chen, H. (2020). Modified Whale Optimization Algorithm for Solar Cell and PV Module Parameter Identification. Complexity. Submitted
  • Wei, Y., Wang, Q., and Liu, W. (2019). Model Averaging for Linear Models with Responses Missing at Random. Annals of the Institute of Statistical Mathematics. Accepted
  • Bian, S., Liu, W., and Zhang, D. (2019). The Sovereign Credit and the Limited Foreign Exchange Outflow and the Liquidity Management of Foreign Exchange Reserves. Journal of the Operational Research Society, 70, 867-871.
  • Zhang, X., Liu, W., Wang, J., Tian, H., Wang, W., and Ru, S. (2018). Quantitative Analysis of In-vivo Responses of Reproductive and Thyroid Endpoints in Male Goldfish Exposed to Monocrotophos Pesticide. Comparative Biochemistry and Physiology, Part C: Toxicology & Pharmacology, 211, 41-47.
  • Liu, W. and Li, S. (2015). A multiple imputation approach to nonlinear mixed-effects models with covariate measurement errors and missing values. Journal of Applied Statistics, 42, 463-476.
  • Liu, J., Liu, W., Wu, L., and Yan, G. (2015). A flexible approach for multivariate mixed-effects models with non-ignorable missing values. Journal of Statistical Computation and Simulation, 85, 3727-3743.
  • Cao, L., Tao, J, Shi, N., and Liu, W. (2015). A Stepwise confidence interval procedure under unknown variances based on an asymmetric loss function for toxicological evaluation. Australian & New Zealand Journal of Statistics, 57, 73-98.
  • Li, S., Lu, X., Mi, Y., and Liu, W. (2015). The estimation and inference on the equal ratios of means to standard deviations of normal populations. Statistical Papers, 42, 157-165.
  • Liu, W. and Wu, L. (2012). Two-step and likelihood methods for HIV viral dynamic models with covariate measurement errors and missing data. Journal of Applied Statistics, 39, 963-978.
  • Wu, L., Liu, W., Yi, G., and Huang, Y. (2012). Analysis of Longitudinal and Survival Data: Joint Modeling, Inference Methods and Issues. Journal of Probability and Statistics, doi:10.1155/2012/640153.
  • Lee, C. C., Liu, W., Park, C. G., and Peng, J. (2012). Inference for comparing a multinomial distribution with a known standard. Statistical Papers, 53, 775-788.
  • Yi, G. Y., Liu, W., and Wu, L. (2011). Simultaneous inference and bias analysis for longitudinal data with covariate measurement error and missing responses. Biometrics, 67, 67-75.
  • Liu, W. and Wu, L. (2010). A Bayesian approach to nonlinear mixed-effects models with measurement errors and missingness in covariates. Advances and Applications in Statistics, 18, 73-87.
  • Wu, L., Liu, W., and Hu, X. J. (2010). Joint inference on HIV viral dynamics and immune suppression in presence of measurement errors. Biometrics, 66, 327-335.
  • Lee, D., Liu, W., Peng, J., and Wu, L. (2010). A note on the ordered means of exponential families. Far East Journal of Theoretical Statistics, 31, 69-75.
  • Liu, W. and Wu, L.(2010). Some asymptotic results for semiparametric nonlinear mixed-effects models with incomplete data. Journal of Statistical Planning and Inference, 140, 52-64.
  • Wu, L., Liu, W., and Liu, J. (2009). A longitudinal study of children's aggressive behaviors based on multivariate mixed models with incomplete data. Canadian Journal of Statistics, 37, 435-452.
  • Wang, Q., Liu, W., and Liu, C. (2009). Probability density estimation for survival data with censoring indicators missing at random. Journal of Multivariate Analysis, 100, 835--850.
  • Liu, W. and Wu, L.(2008). A semiparametric nonlinear mixed-effects model with non-ignorable missing data and measurement errors for HIV viral data. Computational Statistics & Data Analysis, 53, 112-122.
  • Liu, W. and Wu, L. (2007). Simultaneous inference for semiparametric nonlinear mixed-effects models with covariate measurement errors and missing responses. Biometrics, 63, 342-350.
  • Liu, W. and Shi, N. (1994). The projection onto a direct product of convex cones. Northeastern Mathematical Journal, 10, 109-114.