1. RESEARCH INTERESTS

    Currently, I focus upon investigating broadcasting and epidemiology in network communication so as to build a reliable, efficient and secure information disseminating method. Generally, my interest includes theory of reliability and life-testing,  stochastic orders and their applications,  computer and network security.

    I mainly study both stochastic and statistical models in engineering reliability, business, economics and network security etc. My research works are very often related to  dependence,  risk,  aging properties,  stochastic orders,  nonparametric methods,  sample spacings,  network security.

2. ACADEMIC ACTIVITIES

June 27, Xiamen, International Workshop on Stochastic Orders in Reliability and Risk Management, Xiamen University, an invited talk entitled “ Allocation of active redundancies to coherent systems – a brief review”.

June 20, Beijing, The 7th International Conference on Mathematical Methods in Reliability, Beijing Institute of Technology, an invited talk entitled “Generalized Marshall-Olkin distributions, and related bivariate aging properties”.

June 10, Madrid, The 4th International Workshop on Applied Probability, University de Carlos III, Spain. an invited entitled “Stochastic orders in Network Security”.

Dec 08, New Orleans, ASA Louisiana Chapter Fall 2008 Meeting, University of New Orleans, Louisiana, U.S. a talk entitled “Resilience and Reliability Analysis of P2P Network Systems”.

May 07, Houston, The 3rd Lehmman’s Conference on Statistics, Rice University, Texas, U.S. a talk entitled “Stochastic comparison on conditional order statistics – some new results”.

Mar 06, Portland, A visit to Department of Mathematics and Statistics, Portland State University, Oregon, U.S. an invited talk entitled “Negative dependence in frailty models”.

June 05, Beijing, The 7th Chinese Conference on Theory of Reliability, an invited talk entitled “Stochastic orders in theory of reliability”.

April 05, Hefei, A visit to University of Science and Technology, China, an invited talk entitled “Stochastic orders based on the generalized total time on test transform”.

Jun 04, Santa Fe, The 4th International Conference on Mathematical Methods in Reliability, a talk entitled “A note on some stochastic orders and aging properties in the accelerated life model”.

Mar 04, Tucson, A visit to Department of Mathematics, University of Arizona, Tucson, Arizona, U.S,.an invited talk entitled  “Redistributing probability”.

Jun 02, Trondheim, The 3rd International Conference on Mathematical Methods in Reliability, a talk entitled “Behaviors of some aging concepts based upon the residual life of k-out-of-n systems”.

3. RESEARCH PROJECTS

Jan, 08 - Dec, 10, Stochastic properties of sample spacings with applications. National Natural Science Foundation of China (10771090).

Jan, 05 - Dec, 07, Probability transform and its applications in actuarial science, mathematical economics and reliability. Program for New Century Excellent Talents in Universities, China.

Sep, 03 - Sep, 05, Several topics in modern theory of actuarial science Action Programming, Lanzhou University.

Jan, 03 - Dec, 05, Investigation on behavior of residual life of some reliability structures. National Natural Science Foundation of China (10201010).

Jan, 01 - Dec, 03. Research on the partial order of life distributions based upon the total time on test transform with applications. National Natural Science Foundation of China (TY 10126014).

Jan, 99 - Dec, 01, Survey on properties and inferences on several new classes of life distributions. National Natural Science Foundation of China (undertaken with other researchers).

4. RECENT PUBLICATIONS

Stochastic orders with applications

1. Li, Xiaohu and Pellerey, F. (2011) Generalized Marshall-Olkin distributions, and related bivariate aging properties. Journal of Multivariate  Analysis 102， 1399-1409.

2. Li, Xiaohu and Lin, J. (2011) Stochastic orders in time transformed exponential models with applications. Insurance: Mathematics and Economics 49, 47-52.

3. Li, Xiaohu and Zhang, S. (2011) Some new results on Renyi entropy of residual life and inactivity time. Probability in the Engineering and Informational Sciences 25, 237-250.

4. Zhao, P., Li, Xiaohu and Da, G. (2010) Right spread order of the second order statistic from heterogeneous exponential random variables. Communications in Statistics -theory and methods. (in press)

5. Li, Xiaohu, Da, G. and Zhao, P. (2010) On Reversed hazard rate in general mixture models. Statistics and Probability Letters 80, 664-651.

6. Li, Xiaohu and Da, G. (2010) Stochastic comparisons in multivariate mixed model of proportional reversed hazard rate with applications. Journal of Multivariate Analysis 101, 1016-1025.

Reliability and life-testing

7. Ding, W.,  Li, Xiaohu and Balakrishnan, N. (2011) Monotonicity properties of residual lifetimes of parallel systems and inactivity times of series systems with heterogeneous components. Probability in the Engineering and Informational Sciences. (in press)

8. Li, Xiaohu, Da, G. and Zhao, P. (2011) Competing between two groups of individuals following frailty models. Methodology and Computing in Applied Probability. (on line, DOI 10.1007/s11009-011-9218-y)

9. Li, Xiaohu, Yan, R. and Hu, X. (2011) On allocation of redundancies in series and parallel systems. Communications in Statistics - Theory and Methods 40, 959-968.

10. Zhang, S. and Li, Xiaohu (2010) Some new results on moment generating function order and related life distributions. Journal of Applied Probability 47, 923-933.

11. Zhang, Z. and Li, Xiaohu (2010) Some new results on stochastic orders and aging properties of coherent systems. IEEE transactions on Reliability 59, 718-724.

12. Da, G, Ding, W. and Li, Xiaohu (2010) On hazard rate order of parallel systems with independent components. Journal of Statistical Planning and Inference 140, 2148-2154.

13. Li, Xiaohu and Ding, W. (2010) Optimal allocation of active redundancies to k-out-of-n systems with heterogenous components. Journal of Applied Probability 47, 254-263.

Computer and network security

14. Xu, S., Li, Xiaohu, Parker, P. and Wang, X. (2011) Exploiting trust-based social networks for distributed protection of sensitive data. IEEE Transactions on Information Forensics and Security 6, 39-52.

15. Li, Xiaohu, Parker, P. and Xu, S. (2011) A stochastic model for quantitative security analysis of networked systems. IEEE Transactions on Dependable and Secure Computing 8, 28-43.

Bioinformatics/Biostatistics

16. Fang, Z., Li, Xiaohu and Xu, L. (2010) A new normalization method for affymatrix oligonucleotide microarray experiments. Journal of Data Science 8, 505-519.