【摘 要】
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This paper is a further investigation of large deviations for sums of random variables Sn =n∑i=1 Xi and S(t)=N(t)∑i=1 Xi,(t≥0), where {Xn,n≥1} are independe
【机 构】
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Department of Mathematics
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This paper is a further investigation of large deviations for sums of random variables Sn =n∑i=1 Xi and S(t)=N(t)∑i=1 Xi,(t≥0), where {Xn,n≥1} are independent identically distribution and non-negative random variables, and {N(t),t≥0} is a counting process of non-negative integer-valued random variables, independent of {Xn,n≥1}. In this paper, under the suppose F ∈G, which is a bigger heavy-tailed class than C, proved large deviation results for sums of random variables.
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