A new large deviation inequality for U-statistics of order 2
ESAIM: Probability and Statistics, Tome 3 (1999), pp. 151-162. 
@article{PS_1999__3__151_0,
     author = {Bretagnolle, Jean},
     title = {A new large deviation inequality for $U$-statistics of order $2$},
     journal = {ESAIM: Probability and Statistics},
     pages = {151--162},
     publisher = {EDP-Sciences},
     volume = {3},
     year = {1999},
     mrnumber = {1742613},
     zbl = {0957.60031},
     language = {en},
     url = {http://archive.numdam.org/item/PS_1999__3__151_0/}
}
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Bretagnolle, Jean. A new large deviation inequality for $U$-statistics of order $2$. ESAIM: Probability and Statistics, Tome 3 (1999), pp. 151-162. http://archive.numdam.org/item/PS_1999__3__151_0/

[1] M.A. Arcones and E. Giné, Limit Theorems for U-processes. Ann. Probab. 21 ( 1993) 1494-1542. | MR | Zbl

[2] V. De La Peña, Decoupling and Khintchine's inequalities for U-statistics. Ann. Probab. 20 ( 1992) 1887-1892. | Zbl

[3] B. Laurent, Efficient estimation of integral functionals of a density. Ann. Statist. 24 ( 1996) 659-681. | MR | Zbl

[4] B. Laurent and P. Massart, Adaptative estimation of a quadratic functional by model selection ( 1998) preprint. | MR | Zbl