Journal of Inequalities and Applications (Jan 2009)

Moment Inequality for φ-Mixing Sequences and Its Applications

  • Wang Xuejun,
  • Hu Shuhe,
  • Shen Yan,
  • Yang Wenzhi

DOI
https://doi.org/10.1155/2009/379743
Journal volume & issue
Vol. 2009

Abstract

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Firstly, the maximal inequality for φ-mixing sequences is given. By using the maximal inequality, we study the convergence properties for φ-mixing sequences. The Hájek-Rényi-type inequality, strong law of large numbers, strong growth rate and the integrability of supremum for φ-mixing sequences are obtained.