Limit Theorems for Sums of Random Fuzzy Sets
نویسندگان
چکیده
منابع مشابه
Limit theorems for sums of random exponentials
Received: date / Revised version: date Abstract. We study limiting distributions of exponential sums SN (t) = ∑N i=1 e tXi as t → ∞, N → ∞, where (Xi) are i.i.d. random variables. Two cases are considered: (A) ess supXi = 0 and (B) ess supXi = ∞. We assume that the function h(x) = − log P{Xi > x} (case B) or h(x) = − log P{Xi > −1/x} (case A) is regularly varying at ∞ with index 1 < % < ∞ (case...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7428