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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 2

Complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent random variables

M. L.. Guo(SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE, ANHUI NORMAL UNIVERSITY, WUHU)
Sayfa
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Yayın Tarihi
2014-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent (abbreviated to END in the following) random variables is investigated.
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Temel Bulgular & Veri:As their applications, we extend the corresponding result of Wu (2012) to the case of arrays of row-wise END random variables.
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Sonuç & Katkı:Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.
🔬Tür:Research Article
📍Kapsam:2012 Verileri
⚙️Değişkenler:END random variables · Weighted sums · Complete moment convergence

Abstract

In this paper, the complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent (abbreviated to END in the following) random variables is investigated. By using Hoffmann-Jφrgensen type inequality and truncation method, some general results concerning complete qth moment convergence of weighted sums for arrays of row-wise END random variables are obtained. As their applications, we extend the corresponding result of Wu (2012) to the case of arrays of row-wise END random variables. The complete qth moment convergence of moving average processes based on a sequence of END random variables is obtained, which improves the result of Li and Zhang (2004). Moreover, the Baum-Katz type result for arrays of row-wise END random variables is also obtained.

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Bu Makaleye Atıf Yap

Guo, M. L. (2014). Complete qth moment convergence of weighted sums for arrays of row-wise extended negatively dependent random variables. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 2. https://ajindex.com/articles/1403419

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Kaynakça (16)

  1. 1] Hsu, P. L. and Robbins, H. Complete convergence and the law of large numbers. Proc. Natl. Acad. Sci. U.S.A., 33(2), 25–31, 1947.
  2. Baum, L. E. and Katz, M. Convergence rates in the law of large numbers. Trans. Am. Math. Soc., 120(1), 108–123, 1965.
  3. Liu, L. Precise large deviations for dependent random variables with heavy tails. Statist. Probab. Lett., 79(9), 1290–1298, 2009.
  4. Lehmann, E. L. Some concepts of dependence. Ann. Math. Statist., 37(5), 1137–1153, 1966.
  5. Joag-Dev, K. and Proschan, F. Negative association of random variables with applications. Ann. Statist., 11(1), 286–295, 1983. 334
  6. Shen, A. T. Probability inequalities for END sequence and their applications. J. Inequal. Appl., 2011, 98, 2011.
  7. Chen, Y. Q. and Chen, A. Y. and Ng, K. W. The strong law of large numbers for extend negatively dependent random variables. J. Appl. Prob., 47(4), 908–922, 2010.
  8. Baek, J. I., Choi, I. B. and Niu, S. l. On the complete convergence of weighted sums for arrays of negatively associated variables. J. Korean Stat. Soc., 37(1), 73–80, 2008.
  9. Baek, J. I. and Park, S. T. Convergence of weighted sums for arrays of negatively dependent random variables and its applications. J. Stat. Plan. Infer., 140(9), 2461–2469, 2010.
  10. Wu, Q. A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables. J. Inequal. Appl.,2012: 50, 2012.
  11. Chow, Y. S. On the rate of moment convergence of sample sums and extremes. Bull. Inst. Math. Acad. Sinica, 16(3), 177–201, 1988.
  12. Liang, H. Y., Li, D. L. and Rosalsky, A. Complete moment convergence for sums of negatively associated random variables. Acta Math. Sinica, English Series, 26(3), 419–432, 2010.
  13. Sung, S. H. Complete qth moment convergence for arrays of random variables. J. Inequal. Appl., 2013, 24, 2013.
  14. Guo, M. L. On complete moment convergence of weighted sums for arrays of row-wise negatively associated random variables. Stochastics: Int. J. Probab. Stoch. Proc., 86(3), 415-428, 2014.
  15. Li, Y. X. and Zhang, L. X. Complete moment convergence of moving-average processes under dependence assumptions. Statist. Probab. Lett., 70(3), 191–197, 2004.
  16. Wu, Q. Y. Probability Limit Theory for Mixed Sequence. China Science Press, Beijing, 2006.