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Recent Advances in the Central Limit Theorem and Its Weak Invariance Principle for Mixing Sequences of Random Variables (A Survey)
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Asymptotic Properties for Linear Processes of Functionals of Reversible or Normal Markov Chains
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The convergence of moments in the central limit theorem for 𝜌-mixing sequences of random variables
No full textIn this paper we establish maximal inequalities for
ρ
\rho
-mixing sequences and, as a consequence, we obtain the convergence of the expected value of functions of partial sums to the corresponding ones of the normal distribution.</p
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