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Yor studied the limit theorems for the one-dimensional symmetric stable process normalized by non-negative functions of the local times or by negative (killing)
Theorem 1 of [5] gives concentration bounds for a class of infinitely divisible laws with finite exponential moments, and in the compound Poisson case it reduces precisely to (5),
The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a
Key words: Support estimation, Nonparametric statistics, Central limit theorem, Tubular neigh- borhood.. AMS 2000 Subject Classification: Primary
In this paper we give a one-term Edgeworth expansion of the remainder term for the normal approximation of S n under mild conditions.. Key words: Edgeworth expansion, finite
A central limit theorem for random walk in a random environment on marked Galton-Watson trees.. Gabriel
Keywords: Malliavin calculus, Clark-Ocone formula, Brownian local time, Knight theorem, central limit theorem, Tanaka
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central