Note on a Limit Theorem
Darling, D. A.
Ann. Probab., Tome 3 (1975) no. 6, p. 876-878 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
A simple derivation of a limiting distribution of Logan, Mallows, Rice and Shepp is found. This is the limiting distribution of a sequence of partial sums of independent, identically distributed random variables in the domain of attraction of a stable law, normalized by the partial sums of the absolute values of these variables.
Publié le : 1975-10-14
Classification:  60F0F,  Limit theorems,  stable distributions,  sums of independent random variables,  60G50 
@article{1176996274,
     author = {Darling, D. A.},
     title = {Note on a Limit Theorem},
     journal = {Ann. Probab.},
     volume = {3},
     number = {6},
     year = {1975},
     pages = { 876-878},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996274}
}

Darling, D. A. Note on a Limit Theorem. Ann. Probab., Tome 3 (1975) no. 6, pp.  876-878. http://gdmltest.u-ga.fr/item/1176996274/