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Submitted
Jul 21, 2020
Published
Dec 25, 2018
WEAK LAWS OF LARGE NUMBERS FOR RANDOM WEIGHTED SUM OF PAIRWISE INDEPENDENT RANDOM VARIABLES WITH INFINITE r-th MOMENTS
Corresponding Author(s) : Le Van Dung
lvdung@ued.udn.vn
UED Journal of Social Sciences, Humanities and Education,
Vol. 8 No. 4 (2018): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Abstract
Keywords
infinite moments; weak laws of large numbers; random variables, random sums, pairwise independence.
Ho Minh Chau, Le Van Dung, & Luong Thi My Hanh. (2018). WEAK LAWS OF LARGE NUMBERS FOR RANDOM WEIGHTED SUM OF PAIRWISE INDEPENDENT RANDOM VARIABLES WITH INFINITE r-th MOMENTS. UED Journal of Social Sciences, Humanities and Education, 8(4), 1-7. https://doi.org/10.47393/jshe.v8i4.212
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References
-
[1] Bingham N., Goldie C., và Teugels J. (1989). Regular Variation. Cambridge University Press.
[2] Dung L. V., Son T. C., Yen N. T. H. (2018). Weak Laws of Large Numbers for sequences of random variables with infinite rth moments. Acta Mathematica Hungarica, 156, 2, 408-423.
[3] Nakata T. (2016). Weak laws of large numbers for weighted independent random variables with infinite mean. Statistics and Probability Letter, 109, 124-129.
[4] Szewczak Z. S. (2010). Marcinkiewicz laws with infinite moments. Acta Mathematica Hungarica, 127, 64-84.
[5] Sung S. H. (2014). Marcinkiewicz–Zygmund Type Strong Law of Large Numbers for Pairwise i.i.d. Random Variables. Journal of Theoretical Probability, 27, 1, 96-106.
[6] Su C. và Tong T. J. (2004). Almost sure convergence of the general Jamison weighted sum of -valued random variables. Acta Mathematica Sinica, English Series, 20, 1, 181-192.