A limit theorem for sums of independent non-identically distributed random variables
Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 188-192
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The paper contains a generalization and strengthening of Chen's theorem connected with the strong law of large numbers for sums of independent non-identically distributed random variables.
@article{ZNSL_1979_85_a14,
author = {V. V. Petrov},
title = {A~limit theorem for sums of independent non-identically distributed random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {188--192},
year = {1979},
volume = {85},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a14/}
}
V. V. Petrov. A limit theorem for sums of independent non-identically distributed random variables. Zapiski Nauchnykh Seminarov POMI, Investigations in the theory of probability distributions. Part IV, Tome 85 (1979), pp. 188-192. http://geodesic.mathdoc.fr/item/ZNSL_1979_85_a14/