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On the strong convergence for weighted sums of random variables

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  • Soo Sung

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  • Soo Sung, 2011. "On the strong convergence for weighted sums of random variables," Statistical Papers, Springer, vol. 52(2), pages 447-454, May.
    • Handle: RePEc:spr:stpapr:v:52:y:2011:i:2:p:447-454
    DOI: 10.1007/s00362-009-0241-9
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    References listed on IDEAS

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    1. Pingyan, Chen & Shixin, Gan, 2007. "Limiting behavior of weighted sums of i.i.d. random variables," Statistics & Probability Letters, Elsevier, vol. 77(16), pages 1589-1599, October.
    2. Wu, Wei Biao, 1999. "On the strong convergence of a weighted sum," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 19-22, August.
    3. Sung, Soo Hak, 2001. "Strong laws for weighted sums of i.i.d. random variables," Statistics & Probability Letters, Elsevier, vol. 52(4), pages 413-419, May.
    4. Guang-hui Cai, 2008. "Strong laws for weighted sums of NA random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(3), pages 323-331, November.
    5. Bai, Z. D. & Cheng, Philip E., 2000. "Marcinkiewicz strong laws for linear statistics," Statistics & Probability Letters, Elsevier, vol. 46(2), pages 105-112, January.
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    Cited by:

    1. Xuejun Wang & Meimei Ge & Yi Wu, 2019. "The asymptotic properties of the estimators in a semiparametric regression model," Statistical Papers, Springer, vol. 60(6), pages 2087-2108, December.
    2. Vu T. N. Anh & Nguyen T. T. Hien & Le V. Thanh & Vo T. H. Van, 2021. "The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences," Journal of Theoretical Probability, Springer, vol. 34(1), pages 331-348, March.
    3. Xuejun Wang & Xin Deng & Fengxi Xia & Shuhe Hu, 2017. "The consistency for the estimators of semiparametric regression model based on weakly dependent errors," Statistical Papers, Springer, vol. 58(2), pages 303-318, June.
    4. Qinchi Zhang & Wenzhi Yang & Shuhe Hu, 2014. "On Bahadur representation for sample quantiles under α-mixing sequence," Statistical Papers, Springer, vol. 55(2), pages 285-299, May.
    5. Aiting Shen & Yu Zhang & Benqiong Xiao & Andrei Volodin, 2017. "Moment inequalities for m-negatively associated random variables and their applications," Statistical Papers, Springer, vol. 58(3), pages 911-928, September.
    6. Soo Sung, 2013. "On the strong convergence for weighted sums of ρ * -mixing random variables," Statistical Papers, Springer, vol. 54(3), pages 773-781, August.
    7. Wei Li & Pingyan Chen & Soo Hak Sung, 2016. "Complete Moment Convergence for Sung’s Type Weighted Sums of -Valued Random Elements," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-8, March.

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