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Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences

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State Key Laboratory of Mechanics and Control of Mechanical Structures, Institute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2
Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 618; https://doi.org/10.3390/math8040618
Received: 15 February 2020 / Revised: 10 April 2020 / Accepted: 14 April 2020 / Published: 17 April 2020
(This article belongs to the Section Probability and Statistics Theory)
In this paper, we prove the almost sure convergences for the maximum and minimum of nonstationary and stationary standardized normal vector sequences under some suitable conditions. View Full-Text
Keywords: extreme value; almost sure central limit theorem; multivariate vectors; maximum and minimum; nonstationary and stationary normal sequences extreme value; almost sure central limit theorem; multivariate vectors; maximum and minimum; nonstationary and stationary normal sequences
MDPI and ACS Style

Chen, Z.; Zhang, H.; Liu, X. Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences. Mathematics 2020, 8, 618.

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