Geodesic
On relations for moments of the normal $k$th record values and a characterization
Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 3, pp. 610-618 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: $k$th upper record values, complete sequence of functions, characterization of probability distributions. 
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     title = {On relations for moments of the normal $k$th record values and a~characterization},
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P. Pawlas; D. Szynal. On relations for moments of the normal $k$th record values and a characterization. Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 3, pp. 610-618. http://geodesic.mathdoc.fr/item/TVP_2021_66_3_a12/

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