On asymptotic expansions in the ``interval'' CLT for sums of independent random vectors
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 273-288

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We investigate the remainder term taking into account the asymptotic expansions in the multidimensional central limit theorem for sum of independent random vectors. The dependence of the remainder term on the measure of hitting set is investigated.
@article{ZNSL_2017_466_a17,
     author = {L. V. Rozovsky},
     title = {On asymptotic expansions in the ``interval'' {CLT} for sums of independent random vectors},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {273--288},
     publisher = {mathdoc},
     volume = {466},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a17/}
}
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L. V. Rozovsky. On asymptotic expansions in the ``interval'' CLT for sums of independent random vectors. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 273-288. http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a17/