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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 3, Pages 610–618
DOI: https://doi.org/10.4213/tvp5391 (Mi tvp5391) 		 
Short Communications

On relations for moments of the normal $k$th record values and a characterization

P. Pawlas, D. Szynal

Institute of Mathematics, Maria Curie-Sklodowska University, Lublin, Poland
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DOI: https://doi.org/10.4213/tvp5391
Abstract: 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.
Received: 22.01.2020
Revised: 23.06.2020
Accepted: 06.07.2020
English version:
Theory of Probability and its Applications, 2021, Volume 66, Issue 3, Pages 488–494
DOI: https://doi.org/10.1137/S0040585X97T990551
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Pawlas, D. Szynal, “On relations for moments of the normal $k$th record values and a characterization”, Teor. Veroyatnost. i Primenen., 66:3 (2021), 610–618; Theory Probab. Appl., 66:3 (2021), 488–494
Citation in format AMSBIB
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\by P.~Pawlas, D.~Szynal
\paper On relations for moments of the normal $k$th record values and a~characterization
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 3
\pages 610--618
\mathnet{http://mi.mathnet.ru/tvp5391}
\crossref{https://doi.org/10.4213/tvp5391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4294344}
\zmath{https://zbmath.org/?q=an:1476.62084}
\transl
\jour Theory Probab. Appl.
\yr 2021
\vol 66
\issue 3
\pages 488--494
\crossref{https://doi.org/10.1137/S0040585X97T990551}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129590297}
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