Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
S. Kwapień (1972)
Studia Mathematica
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Displaying similar documents to “Oscillations of anharmonic Fourier series and the wave equation.”
Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
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Mazhar, S.M., Al-Budaiwi, Aisha (1987)
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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.
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F. Móricz, K. Tandori (1986)
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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...