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Xian Zhou

Xian_ZhouFormal Name: Xian Zhou

Personal Title: Dr

Position: Associate Professor

Organisational Unit: Department of Actuarial Studies

Qualification: B.Sc. in Mathematics Shanghai; M.A. in Statistics, Ph.D. in Mathematics UCSB

Telephone: (+61-2) 9850-8566.

Fax: (+61-2) 9850-9481.

Email: xzhou@efs.mq.edu.au

Location: E4A 617

Profile

After graduation with his B.Sc. in Mathematics from Shanghai Jiao Tong University, Xian Zhou went overseas to study at University of California at Santa Barbara, where he completed his M.A. in Statistics and Ph.D. in Mathematics.

Before joining Macquarie University, he worked at University of Western Australia and The Hong Kong Polytechnic University as Lecturer, Assistant Professor and Associate Professor. His research interests include survival analysis, actuarial science, and stochastic scheduling. He has jointly published over 60 papers in these areas on international journals, including Annals of Statistics, Journal of American Statistical Association, Biometrika, Biometrics, Insurance Mathematics and Economics, Operations Research, and Journal of Scheduling.

Xian Zhou has played active roles in actuarial education, including the Programme Leader for B.Sc. (Honours) in Actuarial Science at The Hong Kong Polytechnic University and teaching major actuarial subjects such as risk theory, survival analysis, loss models and credibility theory, at both undergraduate and Masters levels.

Publications

Book (monograph)

  • Maller, R.A. and Zhou, X. Survival Analysis with Long-Term Survivors, Wiley, Chichester, New York, London, 1996.

Journal papers


  • Zhao, X.B., Zhou, X. and Wu, X. (2009) A change-point model for survival data with long-term survivors. Statistica Sinica, 19, 377-390.
  • You, J. and Zhou, X. (2009) Partially linear models and polynomial spline approximation for the analysis of unbalanced panel data, Journal of Statistical Planning and Inference, 139(3), 679695.
  • Wen, L., Wu, X. and Zhou, X. (2009) The credibility premiums for models with dependence induced by common effects. Insurance: Mathematics and Economics, 44(1), 19-25.
  • Wu, X. Wang, J. and Zhou, X. (2009) Estimation of Multi-Stage Survival Distributions Based on Age Stage Data. Australian Actuarial Journal, 15(1), 117-142.
  • You, J., Zhou, X. and Zhu, L.X. (2009) Inference on a regression model with noised variables and serially correlated errors. Journal of Multivariate Analysis, 100(6), 1182-1197.
  • Cai, X., Wu, X. and Zhou, X. (2009) Stochastic scheduling on parallel machines to minimize discounted holding costs. Journal of Scheduling, 12(4), 375-388.
  • Zhao, X.B., Zhou, X. (2009) Semiparametric modeling of medical cost data containing zeros. Statistics & Probability Letters, 79(9), 1207-1214.
  • Zhao, X.B., Zhou, X. and Wang, J.L. (2009) Semiparametric model for prediction of individual claim loss reserving Insurance: Mathematics and Economics, 45(I), 1-8.
  • Sun, X.and Zhou, X. (2008) Improved minimax estimation of the bivariate normal precision matrix under the squared loss, Statistics & Probability Letters Volume: 78 Issue 2: 127-134.
  • Sun, X., Zhou, X. and Wang J. (2008) Confidence intervals for the scale parameter of exponential distribution based on Type II doubly censored samples, Journal of Statistical Planning and Inference, Volume 138, Issue 7, 2045-2058.
  • Zhao, X.B, Zhou, X. (2008) Discrete-time survival models with long-term survivors, Statistics in Medicine, 27:1261–1281.
  • Wu, X. and Zhou, X. (2008) Stochastic scheduling to minimize expected maximum lateness, European Journal of Operations Research, vol. 190, issue 1, 103-115.
  • Wang, S., Shao, Q and Zhou, X. Knot-Optimizing Spline Networks (KOSNETS) for Nonparametric Regression, Journal of Industrial and Management Optimization, Vol.4, No.1 33-52.
  • Sun, L. and Zhou, X. (2008) Inference in the additive risk model with time-varying covariates subject to measurement errors. Statistics & Probability Letters, Volume 78, issue 16, 2559-2566.
  • Cai, X., Wang, L. and Zhou, X. Single-machine scheduling to stochastically minimize maximum lateness. Journal of Scheduling, 10, 293-301, 2007.
  • Cai, X., Wu, X. and Zhou, X. Single-Machine scheduling with general costs under compound-type distributions. Journal of Scheduling, 10, 77-84, 2007.
  • Zhao, X.B,  Zhou, X. and Wu, X. Local linear regression in proportional hazards model with censored data.  Communications in Statistics-Theory and Methods, 36(15), 2007.
  • Wu, X and Zhou, X. A new characterization of distortion premiums via countable additivity for comonotonic risks. Insurance Mathematics and Economics, 38, 324-334, 2006.
  • Cai, X. and Zhou, X. Stochastic scheduling with asymmetric earliness and tardiness penalties under random machine breakdowns. Probability in the Engineering and Informational Sciences, 20, 635-654, 2006.
  • Zhao, X.B. and Zhou, X. Proportional hazards models for survival data with long-term survivors.  Statistics & Probability Letters,76, 1685-1693, 2006.
  • Wu, X., Wang, J. and Zhou, X. Commonotonically additive premium principles and some related topics. Actuarial Science: Theory and Methodology, Chapter 3 (pp.93-132), Editor: H.J. Shang, Higher Education Press, China and World Scientific Publishing Co Pte Ltd, Singapore, ISBN 9812565051, 2006.
  • You, J. and Zhou, X. Statistical inference in a panel data semiparametric regression model with serially correlated errors. Journal of Multivariate Analysis, 97, 844-873, 2006.
  • Wu, X., You, J. and Zhou, X. Asymptotic properties of the ISE in nonparametric regressions with serially correlated errors. Communications in Statistics-Theory and Methods, 34, 943-953, 2005.
  • Chen, G., You, J. and Zhou, X. B-Spline estimation in a semiparametric regression model with nonlinear time series errors. American Journal of Applied Sciences, 2, 1343-1349, 2005.
  • Cai, X., Wu, X and Zhou, X. Dynamically optimal policies for stochastic scheduling subject to preemptive-repeat machine breakdowns. IEEE Transactions on Automation Science and Engineering,2, 158-172, 2005.
  • You, J. and Zhou, X. Empirical likelihood in a Regression model with noised variables. Journal of Statistical Planning and Inference 2(9), 1343-1349, 2005.
  • You, J. and Zhou, X. The law of iterated logarithm of estimators for partially linear panel data models. Statistics & Probability Letters, 75,267-279, 2005.
  • You, J. and Zhou, X. Bootstrap of a semiparametric partially linear model with autoregressive errors. Statistica Sinica, 15, 117-133, 2005.
  • Cai, X. and Zhou, X. Single-machine scheduling with exponential processing times and general stochastic cost functions. Journal of Global Optimization, 31, 317-332, 2005.
  • You, J. and Zhou, X. Wavelet estimation in varying-coefficient partially linear regression models. Statistics and Probability Letters, 68, 91-104, 2004.
  • Cai, X., Sun, X. and Zhou, X. Stochastic scheduling subject to machine breakdowns: the preemptive-repeat model with discounted reward and other criteria. Naval Research Logistics, 51, 800-817, 2004.
  • Sun, L., Sun, J. and Zhou, X. A Uniform semiparametric approach for longitudinal data analysis, Far East Journal of Theoretical Statistics, 13, 233-256, 2004.
  • Cai, X. and Zhou, X. Deterministic and stochastic scheduling with team-work jobs. Naval Research Logistics, 51, 818-840, 2004.
  • Shao, Q. and Zhou, X. A new parametric model for survival data with long-term survivors. Statistics in Medicine, 23, 3525-3543, 2004.
  • Cai, X. and Zhou, X. Stochastic scheduling with earliness and tardiness penalties. Handbook of Scheduling: Algorithm, Models, and Performance Analysis, Chapter 39, Editor: J. Y-T. Leung, Chapman & Hall/CRC, New York, ISBN 1584883979, 2004.
  • Cheung, C.K., Shi, W.Z. and Zhou, X. A probability-based uncertainty model for point-in-polygon analysis. GeoInformatica 8:1, 71-98, 2004.
  • Sun, L. and Zhou, X. Additive hazards regression with missing censoring information. Statistica Sinica, 13, 1237-1257, 2003.
  • Cai, X., Sun, X. and Zhou, X. Stochastic scheduling with preemptive-repeat machine breakdowns to minimize the expected weighted flowtime. Probability in the Engineering and Informational Sciences, 17, 467-485, 2003.
  • Maller, R.A. and Zhou, X. Testing for individual heterogeneity in parametric models for event-history data. Mathematical Methods of Statistics, 12, 276-304, 2003.
  • You, J. and Zhou, X. Jackknifing in Partially Linear Regression Models with Serially Correlated Errors. Journal of Multivariate Analysis, 92, 386-404, 2003.
  • Choi, K.C. and Zhou, X. Large-sample properties of mixture models with covariates for competing risks. Journal of Multivariate Analysis, 82, 331-366, 2002.
  • Maller, R.A. and Zhou, X. Analysis of parametric models for competing risks data. Statistica Sinica,12, 725-750, 2002.
  • Maller, R.A.. Sun, L. and Zhou, X. Estimating the expected total number of events in a process. Journal of the American Statistical Association, 97, 577-589, 2002.
  • Sun, L. and Zhou, X. Regression analysis for a semiparametric model with panel data. Statistics and Probability Letters, 58, 309-317, 2002.
  • Chen, G., Sun, J., You, J and Zhou, X. Convergence rates of estimators in partial linear regression models with MA(∞) error process. Communications in Statistics – Theory and Methods, 31, 2251-2273, 2002.
  • Sun, X., Wang, J. and Zhou, X. Estimation of the multivariate normal precision matrix under the entropy loss. Annals of the Institute of Statistical Mathematics, 53, 760-768, 2001.
  • Sun, L., and Ren, H. and Zhou, X. Survival function and density estimation for truncated dependent data. Statistics and Probability Letters, 52, 47-57, 2001.
  • Sun, L., and Ren, H. and Zhou, X. Quantile estimation for left truncated and right censored data. Statistica Sinica, 10, 1217-1229, 2000.
  • Cai, X. and Zhou, X. Asymmetric earliness-tardiness scheduling with exponential processing times on an unreliable machine. Annals of Operations Research, 98, 313-331, 2000.
  • Cai, X. and Zhou, X. Stochastic scheduling on parallel machines subject to random breakdowns to minimize expected costs for earliness and number of tardy jobs. Operations Research, 47, 422-437, 1999.
  • Maller, R.A., Vu, H.T. and Zhou, X. Asymptotic properties of a class of mixture models for failure data: the interior and boundary cases. Annals of the Institute of Statistical Mathematics, 50, 627-653, 1998.
  • Vu, H.T. and Zhou, X. Generalisation of likelihood ratio tests under nonstandard conditions. Annals of Statistics, 25, 897-916, 1997.
  • Cai, X. and Zhou, X. Sequencing jobs with random processing times to minimize weighted completion time variance (1997).  Annals of Operations Research, 70, 241-260, 1997.
  • Ghitany, M. and Zhou, X. Asymptotic results for Exponential failure models with imperfect signalling and covariates. Communication in Statistics –Theory and Methods, 26, 801-820, 1997.
  • Cai, X. and Zhou, X. Scheduling stochastic jobs with asymmetric earliness and tardiness penalties. Naval Research Logistics, 44, 531-557, 1997.
  • Cai, X. and Zhou, X. General stochastic single-machine scheduling with regular cost functions. Mathematical and Computer Modelling. 26, 95-108, 1997.
  • Cai, X. and Zhou, X. Variance minimization: a relation between completion time variance and waiting time variance. Journal of Australian Mathematical Society, Series B, 38, 126-139, 1996.
  • Maller, R.A. and Zhou, X. Testing for sufficient followup and outliers in survival data. Journal of the American Statistical Association, 89, 1499-1506, 1995.
  • Ghitany, M.E., Maller, R.A. and Zhou, X. Estimating the proportion of immunes in censored samples: a simulation study. Statistics in Medicine, 14, 39-49, 1995.
  • Maller, R.A., Speed, T. and Zhou, X. On a shared allele test of random mating. Australian Journal of Statistics, 37, 61-72, 1995.
  • Maller, R.A. and Zhou, X. Testing for the presence of immune or cured individuals in censored survival data. Biometrics, 51, 1197-1205, 1995.
  • Maller, R.A. and Zhou, X. Likelihood ratio test for the presence of immunes in a censored sample. Statistics, 27, 181-201, 1995.
  • Exponential mixture models with long-term survivors and covariates (with M. E. Ghitany and R. A. Maller). Journal of Multivariate Analysis, 49, 218-241, 1994.
  • Jammalamadaka, S. and Zhou, X. Goodness of fit in multidimensions based on nearest neighbor distances. Journal of Nonparametric Statistics, 2, 271-284, 1993.
  • Maller, R.A. and Zhou, X. The probability that the largest observation is censored. Journal of Applied Probability, 30, 602-615, 1993.
  • Maller, R.A. and Zhou, X. Estimating the proportion of immunes in a censored sample. Biometrika, 79, 731-739, 1992.
  • Jammalamadaka, S. and Zhou, X. Some goodness of fit tests in higher dimensions based on interpoint distances.  Proceedings of the R. C. Bose Symposium on Probability, Statistics an Design of  Experiments, Delhi, 27-30, (1988),  Wiley Eastern, New Delhi, 391-404, 1990.
  • Bruss, T., Jammalamadaka, S. and Zhou, X. On an interval splitting problem. Statistics and Probability Letter, 10, 321-324, 1990.
  • Jammalamadaka, S. and Zhou, X. Bahadur efficiencies of spacings tests for goodness of fit. Annals of the Institute of Statistical Mathematics, 41, 541-533, 1989.
  • Jammalamadaka, S., Tiwari, R. and Zhou, X. Asymptotic efficiencies of spacings tests for goodness of fit.  Metrika, 36, 355-377, 1989.
  • Aras, G., Jammalamadaka, S., Tiwari, R. and Zhou, X. Limit distribution of spacings statistics when the sample size is random. Statistics and Probability Letters, 8, 451-456, 1989.

Conference and Invited Presentations

  • Zhou, X. (2009) Nonparametric Bayesian estimation based on beta prior in cure model. The 3rd International Conference on Bioinformatics and Biomedical Engineering (iCBBE 2009) in Beijing, China.
  • Zhou, X. (2007) Stochastic Scheduling subject to Multiple-type Machine Breakdowns with Discounted Reward Criteria, The 7th International Conference on Optimization: Techniques and Applications (ICOTA7), Kobe, Japan.
  • Zhou, X. (2007) Stochastic scheduling Subject to preemptive-repeat breakdowns with incomplete information, The Institute for Operations Research and the Management Sciences (INFORMS) Annual Meeting, Seattle, Washington State, USA.
  • Zhou, X. (2007) Stochastic scheduling subject to preemptive-repeat machine breakdowns with earliness/tardiness penalties, The Fifth International Conference on Nonlinear Analysis and Convex Analysis (NACA2007), Hsinchu, Taiwan.
  • Zhou, X. (2007) Local linear regression in proportional hazards model with censored data, The 15th International Conference of Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical & Statistical Techniques (IMST 2007), Shanghai, China.