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

Zhicheng Chen, Hongyun Zhang and Xinsheng Liu
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Zhicheng Chen: 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
Hongyun Zhang: Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China
Xinsheng Liu: 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

Mathematics, 2020, vol. 8, issue 4, 1-11

Abstract: 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.

Keywords: extreme value; almost sure central limit theorem; multivariate vectors; maximum and minimum; nonstationary and stationary normal sequences (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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