Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables

Szasz, D.

Szasz, D.

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 1902-1913 / Harvested from Project Euclid

Résumé

A necessary condition is given for the convergence of distributions of the sums of a random number of independent random variables. This is made on the basis of a theorem which gives sufficient conditions for the convergence of distributions of randomly stopped stochastic processes. The random indices are supposed to be independent of the sequence of summands.

Publié le : 1972-12-14
Classification:

@article{1177690861,
     author = {Szasz, D.},
     title = {Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 1902-1913},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177690861}
}

Szasz, D. Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  1902-1913. http://gdmltest.u-ga.fr/item/1177690861/