Limite theories of se-valued random variables;
Limite theories of fuzzy set-valued random variables;
Stochastic analysis theory under uncertainty and their applications.
In 2007, Li Guan and Shoumei Li got the best paper awards on the 8th International Conference on Intelligent Technologies;
In 2009, Li Guan and Shoumei Li got the excellent paper awards on Intech’09 Towards Intelligent Technologies to Economics and Management.
 Shoumei Li and Li Guan, Decomposition and representation theorem of set-valued amarts. International Journal of Approximation Reasoning, (2007), Vol.46, 35－46.（SCI, EI）
 Shoumei Li and Li Guan, Fuzzy set-valued Gaussian processes and Brownian motions. Information Sciences, (2007), Vol.177, 3251－3259. (EI, ISTP）
 Li Guan and Shoumei Li, Laws of large numbers for weighted sums of fuzzy set-valued random variables, Inter. J. of Uncertainty, Fuzziness and Knowledge-based System, (2004), Vol.12, 811－825. (SCI, EI)
 Li Guan, Shoumei Li and Yukio Ogura, A strong law of large numbers of fuzzy set-valued random variables with slowly varying weights,International Journal of Automation and Control, (2008), Vol.2, 365 - 375. (EI)
 Li Guan and Shoumei Li, Convergence theorems for fuzzy set-valued amart in a Banach Space, Proceeding of the 9th international conference on intelligent technologies. (2008), 57-64. International Journal of Intelligent Technologies and Applied Statistics. (2009), Vol.2, No.1, 29-44. (EI)
 Li Guan and Shoumei Li, A strong law of large numbers for set-valued random variables in Rademacher type p Banach space, Proceedings of the fifth International Conference on Machine Learning and Cybernetic, (2006), Vol.3, 1768-1773. (EI)
 Li Guan, Shoumei Li and Hiroshi Inoue, Strong laws of large numbers for set-valued random variables in Rademacher type p Banach space, Scientiae Mathematicae Japonicae, (2008), Vol.67, No.3, 377-392.
 Li Guan and Shoumei Li, Stationary processes and limit theorems with upper semi-continuous function values, Proceeding of the 10th international conference on intelligent technologies, 2009, 515-520. International Journal of Intelligent Technology and Applied Statistics, (2010), Vol.3, No.1, 33-44.（ISTP）
 Shoumei Li and Li Guan, Optional sampling theorem and representation of set-valued amart, Soft Methods for Integrated Uncertainty Modeling, Springer, (2006), 137-144. (ISTP)
 Li Guan, Shoumei Li and Inoue Hiroshi, Strong laws of large numbers for rowwise exchangeable fuzzy set-valued random variables. Proceedings of the 11th world congress of international fuzzy systems association, (2005), 411-415.
 Li Guan and Shoumei Li, Integral of general set-valued random processes with respect to finite variation processes, Proceedings of the Fourth International Conference on Machine Learning and Cybernetic, (2005), 2551－2556. (EI)
 Li Guan and Shoumei Li. The convergence theorems of set-valued pramart in a Banach space. International Journal of Intelligent Technologies and Applied Statistics, vol.4, 403-417. (EI)
 Hiroshi Inoue, Masatoshi Miyake and Li Guan. Influence of Risk Incentive by Limited Dividend Provision. Nonlinear mathematics for Uncertainty and its applications. 2011, Vol 100, 255-262. (EI)
 Li Guan and Shoumei Li. a law of large numbers for exchangeable random variables on nonadditive measures. Synergies of Soft Computing and Statistics for Intelligent Data Analysis，145-152,2012.
 Li Guan. Limit Theorems for Negatively Dependent Fuzzy Set-Valued Random Variables，International Journal of Statistics and Probability，2017, 6 (1): 40-47.
 Li Guanand Ying Wan. A strong law of large numbers for set-valued negatively dependent random variables, International Journal of Statistics and Probability，2016, 5(3): 102-112.
 Lamei Shen and Li Guan. Strong Laws of Large Numbers for Fuzzy Set-Valued Random Variables in Ga Space, Advances in Pure Mathematics，2016, 6: 583-592.
Li Guan, female, Associate Professor, Master Student Supervisor. She got PhD degree and Excellent Ph.D. Thesis Award from Beijing University of Technology in 2007. Her research work is about laws of large numbers of set-valued and fuzzy set-valued random variables, asymptotic martingale theories, and stochastic analysis theory under uncertainty and their applications. So far, she has published about 20 papers. She has taken part in international conferences many times. Now her research work was mainly supported by National Social Science Fund.