Moderate Deviations and Large Deviations for Kernel Density Estimators

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Particles approximations of Vlasov equations with singular forces : Propagation of chaos (2011, unknown): “Gao obtains in [26] large (and moderate) deviation principles for ‖f − f‖∞.”
Probability and moment inequalities under dependence (2013, background): “The latter problem has been studied for i.i.d. random variables; see Louani (1998), Gao (2003), and Joutard (2006), among others.”
A review of the mean field limits for Vlasov equations (2014, background): “8 of that article, see also [67], [24] for similar estimates) Proposition 7.”
Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces (2005, unknown): “We refer to Gao [15] for a recent study of deviation inequalities for empirical distribution functions, both in moderate and large deviations regimes.”
DELTA METHOD IN LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR ESTIMATORS (2011, background): “…Arcones (2002), Inglot and Kallenberg (2003), Djellout, Guillin and Wu (2006) and Ermakov (2008) for moderate deviations of estimators; Louani (1998), Worms (2001), Gao (2003), Lei and Wu (2005) for large deviations and moderate deviations of kernel density estimators, and references therein.”