supported by the National Natural Science Foundation of China(Nos.11501325,11231005)
This paper deals with strong laws of large numbers for sublinear expectation under controlled 1st moment condition. For a sequence of independent random variables,the author obtains a strong law of large numbers under...
supported by National Natural Science Foundation of China(Grant No.11231005)
We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed(IID) random variables for sub-linear expectations initiated by Peng.It turns out...
Supported by the National Natural Science Foundation of China(No.11211061 and No.11231005);Natural Science Foundation of Shandong Province(No.ZR2013AQ021)
In this paper, we derive a law of large numbers under the nonlinear expectation generated by backward stochastic differential equations driven by G-Brownian motion.
supported by National Basic Research Program of China(973 Program)(Grant No.2011CB808002);National Natural Science Foundation of China(Grant Nos.11231007,11301298,11471231,11401404,11371226,11071145 and 11231005);China Postdoctoral Science Foundation(Grant No.2014M562321);Foundation for Innovative Research Groups of National Natural Science Foundation of China(Grant No.11221061);the Program for Introducing Talents of Discipline to Universities(the National 111Project of China's Higher Education)(Grant No.B12023)
This paper studies linear quadratic games problem for stochastic Volterra integral equations(SVIEs in short) where necessary and sufficient conditions for the existence of saddle points are derived in two different wa...
Supported by the National Natural Science Foundation of China(11231005);Promotive research fund for excellent young and middle-aged scientists of Shandong Province(BS2014SF006);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(15KJB110009)
In the dual risk model, we consider the optimal dividend and capital injection problem, which involves a random time horizon and a ruin penalty. Both fixed and proportional costs from the transactions of capital injec...
supported by China Postdoctoral Science Foundation(Grant No.2013M541899);the Natural Science Foundation of Shandong Province of China(Grant Nos.ZR2013AQ021 and ZR2014AM002);National Natural Science Foundation of China(Grant Nos.11471190,11401414 and 11231005);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20140299)
We obtain a general invariance principle of G-Brownian motion for the law of the iterated logarithm(LIL for short). For continuous bounded independent and identically distributed random variables in G-expectation spac...