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Strong laws of large numbers for weighted sums of random elements in normed linear spaces

Author

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  • Andre Adler
  • Andrew Rosalsky
  • Robert L. Taylor

Abstract

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Suggested Citation

  • Andre Adler & Andrew Rosalsky & Robert L. Taylor, 1989. "Strong laws of large numbers for weighted sums of random elements in normed linear spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-23, January.
    • Handle: RePEc:hin:jijmms:545706
    DOI: 10.1155/S0161171289000657
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    Citations

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    Cited by:

    1. André Adler & Andrew Rosalsky & Andrej I. Volodin, 1997. "Weak Laws with Random Indices for Arrays of Random Elements in Rademacher Type p Banach Spaces," Journal of Theoretical Probability, Springer, vol. 10(3), pages 605-623, July.
    2. Jinyu Zhou & Jigao Yan & Dongya Cheng, 2024. "Strong consistency of tail value-at-risk estimator and corresponding general results under widely orthant dependent samples," Statistical Papers, Springer, vol. 65(6), pages 3357-3394, August.
    3. Nan Cheng & Chao Lu & Jibing Qi & Xuejun Wang, 2022. "Complete moment convergence for randomly weighted sums of extended negatively dependent random variables with application to semiparametric regression models," Statistical Papers, Springer, vol. 63(2), pages 397-419, April.
    4. Yan Wang & Xuejun Wang, 2021. "Complete f-moment convergence for Sung’s type weighted sums and its application to the EV regression models," Statistical Papers, Springer, vol. 62(2), pages 769-793, April.
    5. Yan, Ji Gao, 2018. "On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and its Applications," IRTG 1792 Discussion Papers 2018-042, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    6. J. Hoffmann-Jørgensen & K-L. Su & R. L. Taylor, 1997. "The Law of Large Numbers and the Ito-Nisio Theorem for Vector Valued Random Fields," Journal of Theoretical Probability, Springer, vol. 10(1), pages 145-183, January.
    7. Ieva Axt & Roland Fried, 2020. "On variance estimation under shifts in the mean," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(3), pages 417-457, September.
    8. Sookyo Jeong & Hongseok Namkoong, 2020. "Assessing External Validity Over Worst-case Subpopulations," Papers 2007.02411, arXiv.org, revised Feb 2022.

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