中文摘要：

By the Cramér method, the large deviation principle for a form of compound Poisson process S(t)=∑N(t)i=1h(t-Si)Xi is obtained,where N(t), t>0, is a nonhomogeneous Poisson process with intensity λ(t)>0, Xi, i≥1, are i.i.d. nonnegative random variables independent of N(t), and h(t), t>0, is a nonnegative monotone real function. Consequently, weak convergence for S(t) is also obtained.

英文摘要：

By the Cramer method, the large deviation principle for a form of compound Poisson process S（t） =∑N（t）i=1（t）h（t - Si）Xi is obtained, where N （ t ）, t 〉 0, is a nonhomogeneous Poisson process with intensity A （t） 〉 O, Xi, i ≥ 1, are i. i. d. nonnegative random variables independent of N（ t）, and h （ t）, t 〉 O, is a nonnegative monotone real function. Consequently, weak convergence for S（t） is also obtained.