A Necessary Condition on the Infinite Divisibility of Probability Distributions
Ruegg, Alan F.
Ann. Math. Statist., Tome 42 (1971) no. 6, p. 1681-1685 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
For a probability distribution function on the real line, a necessary condition on its infinite divisibility is given which deals with its one-sided asymptotic behavior; the proof is based on properties of characteristic functions which are analytic in the upper (lower) half plane.
Publié le : 1971-10-14
Classification:  
@article{1177693166,
     author = {Ruegg, Alan F.},
     title = {A Necessary Condition on the Infinite Divisibility of Probability Distributions},
     journal = {Ann. Math. Statist.},
     volume = {42},
     number = {6},
     year = {1971},
     pages = { 1681-1685},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177693166}
}

Ruegg, Alan F. A Necessary Condition on the Infinite Divisibility of Probability Distributions. Ann. Math. Statist., Tome 42 (1971) no. 6, pp.  1681-1685. http://gdmltest.u-ga.fr/item/1177693166/