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Some New Results on the Subexponential Class

Emily S. Murphree
Journal of Applied Probability
Vol. 26, No. 4 (Dec., 1989), pp. 892-897
DOI: 10.2307/3214395
Stable URL: http://www.jstor.org/stable/3214395
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Some New Results on the Subexponential Class
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Abstract

A distribution function F on (0, ∞) belongs to the subexponential class L if the ratio of 1 - F(2)(x) to 1 - F(x) converges to 2 as x x → ∞. A necessary condition for membership in L is used to prove that a certain class of functions previously thought to be contained in L has members outside of L. Sufficient conditions on the tail of F are found which ensure F belongs to L; these conditions generalize previously published conditions.

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