Some combinatorial and probabilistic inequalities and their application to Banach space theory
Stanisław Kwapień, Carsten Schütt (1985)
Studia Mathematica
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Stanisław Kwapień, Carsten Schütt (1985)
Studia Mathematica
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Bruce Berndt, Ronald Evans (1986)
Acta Arithmetica
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J. Meder (1958)
Annales Polonici Mathematici
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Alain Haraux, Vilmos Komornik (1985)
Revista Matemática Iberoamericana
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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ utt + (-1)m Δmu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u|Γ = ... = Δm-1 u|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...
S. Kwapień (1972)
Studia Mathematica
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A. Lachal, S. Leorato, E. Orsingher (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Olivier Durieu, Dalibor Volný (2008)
Annales de l'I.H.P. Probabilités et statistiques
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The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposition developed by Gordin in (1969), the projective criterion introduced by Dedecker in (1998), which was subsequently improved by Dedecker and Rio in (2000) and the condition introduced by Maxwell and Woodroofe in (2000) later improved upon...
Jérôme Dedecker, Emmanuel Rio (2008)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we give estimates of the minimal distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.