Covariance inequalities for strongly mixing processes
Cramer Type Large Deviations for Studentized U-Statistics.
Cramér type moderate deviations for Studentized U-statistics
Let Tn be a Studentized U-statistic. It is proved that a Cramér type moderate deviation P(Tn ≥ x)/(1 − Φ(x)) → 1 holds uniformly in x ∈ [0, o(n1/6)) when the kernel satisfies some regular conditions.
Cramér type moderate deviations for Studentized U-statistics******
Let Tn be a Studentized U-statistic. It is proved that a Cramér type moderate deviation P(Tn ≥ x)/(1 − Φ(x)) → 1 holds uniformly in x∈ [0, o(n1/6)) when the kernel satisfies some regular conditions.
Critical branching diffusions : proper normalization and conditioned limit