On Log-Concave and Log-Convex Infinitely Divisible Sequences and Densities
Hansen, Bjorn G.
Ann. Probab., Tome 16 (1988) no. 4, p. 1832-1839 / Harvested from Project Euclid
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We consider nonnegative infinitely divisible random variables whose Levy measures are either absolutely continuous or supported by the integers. Necessary conditions are found ensuring that such distributions are $\log$-concave or $\log$-convex.
Publié le : 1988-10-14
Classification:  Infinitely divisible distribution,  discrete distribution,  absolutely continuous distribution,  strongly unimodal,  log-concave,  log-convex,  completely monotone,  60E07 
@article{1176991600,
     author = {Hansen, Bjorn G.},
     title = {On Log-Concave and Log-Convex Infinitely Divisible Sequences and Densities},
     journal = {Ann. Probab.},
     volume = {16},
     number = {4},
     year = {1988},
     pages = { 1832-1839},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991600}
}

Hansen, Bjorn G. On Log-Concave and Log-Convex Infinitely Divisible Sequences and Densities. Ann. Probab., Tome 16 (1988) no. 4, pp.  1832-1839. http://gdmltest.u-ga.fr/item/1176991600/