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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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10.1007/s00107-012-0610-2

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1572-9036

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On Emphasis Type="Italic"L/EmphasisSubscript

Authors: J Sunklodas
Publish Date: 2008/01/30
Volume: 102, Issue: 1, Pages: 87-98
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Abstract

In the present paper we consider L 1 bounds for asymptotic normality for the sequence of rv’s X 1X 2… not necessarily stationary satisfying the ψmixing condition The L 1 bounds have been obtained in terms of Lyapunov fractions which in a particular case under finiteness of the third moments of summands and the finiteness of ∑r≥1 r 2 ψr are of order On −1/2 where the function ψ participates in the definition of the ψmixing condition

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  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
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  4. Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures
  5. Noncommutative Dynamical Models with Quantum Symmetries
  6. A BGK Model for Gas Mixtures
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  9. Variational Approach to the Inviscid Compressible Fluid
  10. The Numerical Asymptotically Stability of a Linear Differential Equation with Piecewise Constant Arguments of Mixed Type
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  16. Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids
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