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A NOTE ON THE COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF B-VALUED RANDOM VARIABLES

YongFeng Wu|Mingzhu Song
대한수학회 (The Korean Mathematical Society)|2015.05|대한수학회보 (Bulletin of the KMS)|제52권 제3호|pp. 825-836

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참고문헌

키워드

complete moment convergenceweighted sumsB-valued random variables
주제분류수학

초록

In this article, we discuss the complete moment convergence for arrays of B-valued random variables. We obtain some new results which improve the corresponding ones of Sung and Volodin [17].

Abstract

In this article, we discuss the complete moment convergence for arrays of B-valued random variables. We obtain some new results which improve the corresponding ones of Sung and Volodin [17].

참고문헌 (22)

  1. A. de Acosta, "Inequalities for B-valued random vectors with applications to the strong law of large numbers", Ann. Probab, 9(1), pp.157~161 (1981)
  2. S. E. Ahmed, "On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving avurage processes", Statist. Probab. Lett, 58(2), pp.185~194 (2002)
  3. L. E. Baum, "Convergence rates in the law of large numbers", Trans. Am. Math. Soc, 120, pp.108~123 (1965)
  4. Y. S. Chow, "On the rate of moment convergence of sample sums and extremes", Bull. Inst. Math. Acad. Sinica, 16(3), pp.177~201 (1988)
  5. A. Gut, "Complete convergence for arrays", Period. Math. Hungar, 25(1), pp.51~75 (1992)
  6. P. L. Hsu, "Complete convergence and the law of large numbers", Proc. Nat. Acad. Sci. USA, 33, pp.25~31 (1947)
  7. T. C. Hu, "On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements", Theory Probab. Appl, 47(3), pp.455~468 (2002)
  8. T. C. Hu, "On complete convergence for arrays of rowwise independent random elements in Banach spaces", Stochastic Anal. Appl, 17(6), pp.963~992 (1999)
  9. T. S. Kim, "On the complete convergence of moving average process with Banach space valued random elements", J. Theoret. Probab, 21(2), pp.431~436 (2008)
  10. T. S. Kim, "Complete moment convergence of moving average processes under dependence assumptions", Statist. Probab. Lett, 78(7), pp.839~846 (2008)
  11. D. Li, "Complete convergence and almost sure convergence of weighted sums of random variables", J. Theoret. Probab, 8(1), pp.49~76 (1995)
  12. Y. X. Li, "Complete moment convergence of moving-average processes under dependence assumptions", Statist. Probab. Lett, 70(3), pp.191~197 (2004)
  13. H. Y. Liang, "Complete moment and integral convergence for sums of negatively associated random variables", Acta Math. Sin. (Engl. Ser.), 26(3), pp.419~432 (2010)
  14. D. H. Qiu, "Complete convergence for weighted sums of arrays of Banach-space-valued random elements", Lith. Math. J, 52(3), pp.316~325 (2012)
  15. S. H. Sung, "Complete convergence for weighted sums of arrays of rowwise independent B-valued random variables", Stochastic Anal. Appl, 15(2), pp.255~267 (1997)
  16. S. H. Sung, "Moment inequalities and complete moment convergence", J. Inequal. Appl, 2009 (2009)[DOI]
  17. S. H. Sung, "A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements", Stochastic Anal. Appl, 29(2), pp.282~291 (2011)
  18. D. C. Wang, "Moment complete convergence for sequences of B-valued iid random elements", Acta Math. Appl. Sin, 27(3), pp.440~448 (2004)
  19. D. C. Wang, "Moment complete convergence for sums of a sequence of NA random variables", Appl. Math. J. Chinese Univ. Ser. A, 21(4), pp.445~450 (2006)
  20. X. Wang, "Convergence rates on strong laws of large numbers for arrays of rowwise independent elements", Stochastic Anal. Appl, 11(1), pp.115~132 (1993)
  21. Y. F. Wu, "Convergence properties of the maximal partial sums for arrays of rowwise NA random variables", Theory Probab. Appl, 56(3), pp.527~535 (2012)
  22. L. X. Zhang, "Complete convergence of moving average processes under dependence as-sumptions", Statist. Probab. Lett, 30(2), pp.165~170 (1996)

관련 논문AI추천

COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RANDOM ELEMENTS성수학대한수학회 · 대한수학회보2010 · 제47권 제2호Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2019 · 제56권 제4호On the complete convergence for arrays of rowwise extended negatively dependent random variablesAndrei Volodin, Dehua Qiu, Pingyan Chen, Rita Giuliano Antonini대한수학회 · 대한수학회지2013 · 제50권 제2호On the complete convergence for weighted sums of dependent random variables under condition of weighted integrabilityJong-Il Baek, Mi-Hwa Ko, Tae-Sung Kim대한수학회 · 대한수학회지2008 · 제45권 제4호ON COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR A CLASS OF RANDOM VARIABLESXuejun Wang, Yi Wu대한수학회 · 대한수학회지2017 · 제54권 제3호On the rate of complete convergence for weighted sums of arrays of random elements성수학, Andrei I. Volodin대한수학회 · 대한수학회지2006 · 제43권 제4호

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