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Subexponential distributions and integrated tails. (English) Zbl 0651.60020
Let F be a distribution function on [0,\(\infty)\) with finite expectation. The author has introduced the concept of weak tail equivalence and proved the subexponentiality of F under certain conditions and further he showed that these conditions are useful in random walk problems arising in risk theory and queueing theory.
Reviewer: V.Thangaraj

MSC:
60E05 Probability distributions: general theory
60G50 Sums of independent random variables; random walks
60K25 Queueing theory (aspects of probability theory)
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