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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
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3214395
Page Count: 6
You can always find the topics here!Topics: Mathematical functions, Mathematical growth, Mathematical theorems, Distribution functions, Sufficient conditions, Necessary conditions, Distributivity, Mathematics
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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.
Journal of Applied Probability © 1989 Applied Probability Trust