EUDML

Let be a Studentized U-statistic. It is proved that a Cramér type moderate deviation ( ≥ )/(1 − Φ()) → 1 holds uniformly in ∈ [0, ( )) when the kernel satisfies some regular conditions.

Fernique type inequalities and moduli of continuity for l2-valued Ornstein-Uhlenbeck Processes

Endre Csáki; Miklós Csörgö; Qi-Man Shao — 1992

Annales de l'I.H.P. Probabilités et statistiques

Cramér type moderate deviations for Studentized U-statistics

Tze Leng Lai; Qi-Man Shao; Qiying Wang — 2012

ESAIM: Probability and Statistics

Let be a Studentized U-statistic. It is proved that a Cramér type moderate deviation ( ≥ )/(1 − Φ()) → 1 holds uniformly in [0, ( )) when the kernel satisfies some regular conditions.

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Large and moderate deviations for Hotelling's $T^{2}$ -statistic.

Berry-Esseen bounds for projections of coordinate symmetric random vectors.

A note on directed polymers in Gaussian environments.

Asymptotic distributions and Berry-Esseen bounds for sums of record values.

Cram'er type moderate deviations for the maximum of self-normalized sums.

Cramér type moderate deviations for Studentized U-statistics

Fernique type inequalities and moduli of continuity for l2-valued Ornstein-Uhlenbeck Processes

Cramér type moderate deviations for Studentized U-statistics