Geodesic
A~Berry--Esseen bound for $U$-statistics
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 54-79

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The rate of convergence in the central limit theorem for non-degenerate $U$-statistics of $n$ independent random variables is investigated under minimal sufficient moment conditions on canonical functions of Hoeffding representation. 
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     author = {L. V. Gadasina},
     title = {A~Berry--Esseen bound for $U$-statistics},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {54--79},
     publisher = {mathdoc},
     volume = {298},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a3/}
}
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L. V. Gadasina. A~Berry--Esseen bound for $U$-statistics. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 54-79. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a3/