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Strong law of large numbers for double arrays of random variables with respect to capacities

Authors:
Dương Xuân Giáp, Ngô Hà Châu Loan
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In this paper, we introduce the concept of partially limit of double arrays of real numbers
and prove that the lower limit and upper limit defined in [3], are minimum and maximum of
partially limits, respectively. Therefore, we apply to establish strong law of large numbers
for double arrays of random variables with respect to capacities. This result extends [6,
Theorem 1] to the case of double arrays of random variables.
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Vinh University journal of science

Tạp chí khoa học Trường Đại học Vinh

ISSN: 1859 - 2228

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