Geodesic
On integro-local CLT for sums of independent random vectors
Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 4, pp. 707-724

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The remainder term in the integro-local version of the multidimensional central limit theorem for a sum of independent random vectors is studied with due account of asymptotic expansions. It is assumed that the distribution of this sum can be absolutely continuous and/or lattice in some coordinates.
Keywords: central limit theorem, independent random vectors, lattice random vectors, volume of a Borel set, asymptotic expansions. 
@article{TVP_2019_64_4_a4,
     author = {L. V. Rozovskii},
     title = {On integro-local {CLT}  for sums of independent random vectors},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {707--724},
     publisher = {mathdoc},
     volume = {64},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2019_64_4_a4/}
}
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L. V. Rozovskii. On integro-local CLT  for sums of independent random vectors. Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 4, pp. 707-724. http://geodesic.mathdoc.fr/item/TVP_2019_64_4_a4/