Supported by the National Natural Science Foundation of China (No.10671139)
The paper gives estimates for the finite-time ruin probability with insurance and financial risks. When the distribution of the insurance risk belongs to the class L(γ) for some γ〉0 or the subexponential distribu...
Supported by the National Natural Science Foundation of China (No. 10671139);the research foundation of Suzhou University of Science and Technology
The paper obtains some equivalent conditions of local asymptotics for the solutions of defective renewal equations in the heavy-tailed case. As applications, the paper gives a different proof of a classical result abo...
The National Natural Science Foundation of China (No.10671139,11001052);the Natural Science Foundation of Jiangsu Province(No. BK2008284 );China Postdoctoral Science Foundation ( No.20100471365);the Natural Science Foundation of Higher Education Institutions of Jiangsu Province (No. 09KJD110003);Postdoctoral Research Program of Jiangsu Province (No.0901029C)
The differences between two sequences of nonnegative independent and identically distributed random variables with sub-exponential tails and the random index are studied. The random index is a strictly stationary rene...
Supported by National Natural Science Foundation of China (No. 10761011,10671139,10901135);Natural Science Foundation of Yunnan Province(No. 2008CD081);Special Foundation for Middle and Young Excellent Teachers of Yunnan University
This paper proposes some regularity conditions, which result in the existence, strong consistency and asymptotic normality of maximum quasi-likelihood estimator (MQLE) in quasi-likelihood nonlinear models (QLNM) w...