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Some new results on the subexponential class

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Publication:3031701
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DOI10.2307/3214395zbMath0689.60021OpenAlexW2331252774MaRDI QIDQ3031701

Emily S. Murphree

Publication date: 1989

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214395


zbMATH Keywords

renewal theorybranching processslow growthsubexponential class


Mathematics Subject Classification ID

Probability distributions: general theory (60E05)


Related Items (8)

Asymptotics of convolution with the semi-regular-variation tail and its application to risk ⋮ Some discussions on the local distribution classes ⋮ On asymptotic equivalence among the solutions of some defective renewal equations ⋮ Convolution and convolution-root properties of long-tailed distributions ⋮ New examples of heavy-tailed O-subexponential distributions and related closure properties ⋮ The local asymptotic estimation for the supremum of a random walk with generalized strong subexponential summands ⋮ Asymptotic expansions for waiting time probabilities in an \(M/G/1\) queue with long-tailed service time ⋮ A necessary and sufficient condition for the subexponentiality of the product convolution




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