On the speed of convergence to the Gaussian law of weighted sums of gap series
Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 445-461
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Some estimates are obtained for the remainder terms in the well-known theorems due to Salem–Zygmund (see theorem 1) and Fortét–Kac (see theorems 2 and 2').
@article{TVP_1968_13_3_a3,
author = {V. F. Gaposhkin},
title = {On the speed of convergence to the {Gaussian} law of weighted sums of gap series},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {445--461},
year = {1968},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a3/}
}
V. F. Gaposhkin. On the speed of convergence to the Gaussian law of weighted sums of gap series. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 445-461. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a3/