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Probability tail for linearly negative quadrant dependent random variables of partial sums and application to linear model

Zoubeyr KaddourDepartment of Mathematics and computer sciences, Ahmed Salhi University center of Nama, 45000, Nama, AlgeriaAbderrahmane BelguernaS.A University center of NaamaSamir BenaissaDepartment of Probabilities and Statistics, Djillali Liabes University of Sidi Bel Abbes, Algeria
2022en
ABI

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In this paper, we establish a new concentration inequality and complete convergence of weighted sums for arrays of rowwise linearly negative quadrant dependent (LNQD, in short) random variables and obtain a result dealing with complete convergence of first-order autoregressive processes with identically distributed LNQD innovations.

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