• Title/Summary/Keyword: ${\tilde{\rho}}$-mixing random variable sequence

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ON THE HAJECK-RENYI-TYPE INEQUALITY FOR $\tilde{\rho}$-MIXING SEQUENCES

  • Choi, Jeong-Yeol;Baek, Jong-Il
    • Honam Mathematical Journal
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    • v.30 no.3
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    • pp.479-486
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    • 2008
  • Let {${\Omega}$, F, P} be a probability space and {$X_n{\mid}n{\geq}1$} be a sequence of random variables defined on it. We study the Hajeck-Renyi-type inequality for p..mixing random variable sequences and obtain the strong law of large numbers by using this inequality. We also consider the strong law of large numbers for weighted sums of ${\tilde{\rho}}$-mixing sequences.