The Accuracy of Infinitely Divisible Approximations to Sums of Independent Variables with Application to Stable Laws
Boonyasombut, Virool ; Shapiro, Jesse M.
Ann. Math. Statist., Tome 41 (1970) no. 6, p. 237-250 / Harvested from Project Euclid
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Let $\{F_n\}$ be a sequence of distribution functions defined on the real line, and suppose $\{F_n(x)\}$ converges to some limiting distribution function $F(x)$. It is of interest to investigate the error involved in using $F(x)$ as an approximation to $F_n(x)$, that is to investigate the rate of convergence of $\{F_n\}$ to $F$. This leads to the problem of finding bounds on $M_n = \sup_{-\infty
Publié le : 1970-02-14
Classification:  
@article{1177697205,
     author = {Boonyasombut, Virool and Shapiro, Jesse M.},
     title = {The Accuracy of Infinitely Divisible Approximations to Sums of Independent Variables with Application to Stable Laws},
     journal = {Ann. Math. Statist.},
     volume = {41},
     number = {6},
     year = {1970},
     pages = { 237-250},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177697205}
}

Boonyasombut, Virool; Shapiro, Jesse M. The Accuracy of Infinitely Divisible Approximations to Sums of Independent Variables with Application to Stable Laws. Ann. Math. Statist., Tome 41 (1970) no. 6, pp.  237-250. http://gdmltest.u-ga.fr/item/1177697205/