Large deviations for bootstrapped empirical measures

José Trashorras (1) , Olivier Wintenberger (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We investigate the Large Deviations properties of bootstrapped empirical measure with exchangeable weights. Our main result shows in great generality how the resulting rate function combines the LD properties of both the sample weights and the observations. As an application we recover known conditional and unconditional LDPs and obtain some new ones.

Mots clés: Large deviations; Exchangeable bootstrap

Domaines: Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]

José Trashorras, Olivier Wintenberger. Large deviations for bootstrapped empirical measures. Bernoulli, 2014, pp.10.3150/13-BEJ544. ⟨hal-00633707⟩