Some characterizations of the normal distribution

DOI10.1016/S0167-7152(98)00235-1zbMath0957.62009OpenAlexW2059083031MaRDI QIDQ1962220

Naveen K. Bansal, Hao Zhang, J. Behboodian, Eric S. Key, Hans W. Volkmer, Gholamhossein G. Hamedani

Publication date: 20 March 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(98)00235-1

zbMATH Keywords

momentscharacteristic functionMacLaurin seriesCauchy distribution

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

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Cites Work

• Some elementary proofs of the normality of \(XY/(X^ 2+Y^ 2)^{1/2}\) when X and Y are normal
• Characterizations of the normal distribution by suitable transformations
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