Theory of Probability &Its Applications, Volume 66, Issue 3, Page 488-494, January 2021.
This paper gives the explicit expressions for moments of the $k$th record values from normal distribution and relations between the $r$th, $(r-2)$nd single, and product moments. These relations allow us to give skewness and kurtosis of record values and present a new characterization of normal distribution.

中文翻译：

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关于正态 ${k}$th 记录值的矩的关系和表征

Theory of Probability & Its Applications，第 66 卷，第 3 期，第 488-494 页，2021 年 1 月。
本文给出了正态分布中第 $k$ 个记录值的矩以及 $r$th, $( r-2)$nd 单个和产品时刻。这些关系使我们能够给出记录值的偏度和峰度，并呈现正态分布的新特征。