Dear allstaters,
I appreciate very much directing me to a concrete references
(books or papers) which prove the following for a discrete distribution
with p.m.f p(x), x=0,1,2,... :
1. p(x) is log-convex ==> p(x) is convex
2. p(x) is log-convex ==> p(x) is infinitely divisible
3. p(x) is log-convex ==> R(x)=P(X >= x) is log-convex
Thanks in advance.
M.E. Ghitany
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