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Limiting behavior for arrays of rowwise ρ *-mixing random variables

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Abstract

We study the limiting behavior of maximal partial sums for arrays of rowwise ρ *-mixing random variables and obtain some new results that improve the corresponding theorem of Zhu [M.H. Zhu, Strong laws of large numbers for arrays of rowwise ρ *-mixing random variables, Discrete Dyn. Nat. Soc., 2007, Article ID 74296, 6 pp., 2007].

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References

  1. R.C. Bradley, Equivalent mixing conditions for random fields, Technical report No. 336, Center for Stochastic Processes, Dept. Statistics, Univ. North Carolina, Chapel Hill, 1990.

  2. Y.S. Chow, On the rate of moment complete convergence of sample sums and extremes, Bull. Inst. Math., Acad. Sin., 16:177–201, 1988.

    MATH  Google Scholar 

  3. P.L. Hsu and H. Robbins, Complete convergence and the law of large numbers, Proc. Natl. Acad. Sci. USA, 33(2):25–31, 1947.

    Article  MathSciNet  MATH  Google Scholar 

  4. C.C. Moore, The degree of randomness in a stationary time series, Ann. Math. Stat., 34:1253–1258, 1963.

    Article  MATH  Google Scholar 

  5. S. Utev and M. Peligrad, Maximal inequalities and an invariance principle for a class of weakly dependent random variables, J. Theor. Probab., 16(1):101–115, 2003.

    Article  MathSciNet  MATH  Google Scholar 

  6. M.H. Zhu, Strong laws of large numbers for arrays of rowwise ρ *-mixing random variables, Discrete Dyn. Nat. Soc., 2007, Article ID 74296, 6 pp., 2007.

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Correspondence to Yongfeng Wu.

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This work was partially supported by the Humanities and Social Sciences Foundation for The Youth Scholars of Ministry of Education of China (No. 12YJCZH217) and the Anhui Province College Excellent Young Talents Fund Project of China (No. 2011SQRL143).

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Wu, Y., Wang, C. & Volodin, A. Limiting behavior for arrays of rowwise ρ *-mixing random variables. Lith Math J 52, 214–221 (2012). https://doi.org/10.1007/s10986-012-9168-2

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  • DOI: https://doi.org/10.1007/s10986-012-9168-2

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