A Stable Local Limit Theorem
Mineka, J.
Ann. Probab., Tome 2 (1974) no. 6, p. 167-172 / Harvested from Project Euclid
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Conditions are given which imply that the partial sums of a sequence of independent integer-valued random variables, suitably normalized, converge in distribution to a stable law of exponent $\alpha, 0 < \alpha < 2$, and imply as well that a strong version of the corresponding local limit theorem holds.
Publié le : 1974-02-14
Classification:  Stable local limit theorem,  sums of independent integer-valued random variables,  60F99,  60G50 
@article{1176996764,
     author = {Mineka, J.},
     title = {A Stable Local Limit Theorem},
     journal = {Ann. Probab.},
     volume = {2},
     number = {6},
     year = {1974},
     pages = { 167-172},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996764}
}

Mineka, J. A Stable Local Limit Theorem. Ann. Probab., Tome 2 (1974) no. 6, pp.  167-172. http://gdmltest.u-ga.fr/item/1176996764/