On the rate of convergence in the central limit theorem
Z. Rychlik, D. Szynal (1979)
Banach Center Publications
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Displaying similar documents to “On the convergence rate of empirical estimates in chance constrained stochastic programming”
On the rate of convergence in the central limit theorem
Homogenization of a singular random one-dimensional PDE
Bogdan Iftimie, Étienne Pardoux, Andrey Piatnitski (2008)
Annales de l'I.H.P. Probabilités et statistiques
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This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.
Three-dimensional reflected driftless random walks in troughs : new asymptotic behavior
Sanjar Aspandiiarov, Roudolf Iasnogorodski (1999)
Annales de l'I.H.P. Probabilités et statistiques
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Upper bounds for minimal distances in the central limit theorem
Emmanuel Rio (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We obtain upper bounds for minimal metrics in the central limit theorem for sequences of independent real-valued random variables.
Additive properties of random sequences of positive integers
Paul Erdös, A Rényi (1960)
Acta Arithmetica
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A note on sums of independent uniformly distributed random variables
Rafał Latała, Krzysztof Oleszkiewicz (1995)
Colloquium Mathematicae
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