LMAM;
and;
Department;
of;
Financial;
Mathematics,School;
of;
Mathematical;
Sciences,;
Peking;
University,;
Beijing;
100871,;
China;
Department;
of;
Business;
Studies,;
The;
Hong;
Kong;
Polytechnic;
University,;
Hong;
Kong;
Department;
of;
Applied;
Mathematics,;
The;
Hong;
Kong;
Polytechnic;
University,;
Hong;
Kong;
risk; analysis,; infinite; weighted; sum,; moving; average,; bilinear; model,; stochastic; difference; equation,; tail; probability,; vague; convergence.;