On standard normal convergence of the multivariate Student -statistic for symmetric random vectors.
Domains of attraction in Banach spaces
Corrections : “Domains of attraction in Banach spaces”
Large deviations in spaces of stable type
Correction to “Domains of attraction in several dimensions”
Domains of partial attraction in several dimensions
Rates of strong uniform consistency for multivariate kernel density estimators
On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals
Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”
The bootstrap of the mean with arbitrary bootstrap sample size
On the central limit theorem in Hilbert space.
The object of this paper is to prove a central limit theorem in (separable) Hilbert space using a method based on the so called découpage de Lévy, the Lindeberg proof for the Gaussian case and an elementary proof of Poisson convergence for the direct part, and on elementary probabilistic inequalities for the converse. In particular, characteristic functions are only used in unicity questions. Several results of Varadhan (1962) can be obtained either directly as corollaries of the main theorem or...
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