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A RENEWAL THEOREM IN MULTIDIMENSIONAL TIME 总被引:1,自引:0,他引:1
Let Yl, Y2,… be i.i.d., positive, integer-valued random variables with means, μ. Let the sequences {Yij, j= 1,2,…}, i= 1,…, r be independent copies of {Y1, Y2,…}. For n={n1,…, nr.}, n1≥1, let Sn=S?n1k1=1= 1 …S?nrkr=1 Yik1… Yrkr. We show that S?Nk=1S?∞k1=1…S?∞nr=1 P[[Sn= k] ? [μ-r N logr-1 (N)/(r-1)!] as N →∞. 相似文献
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