A simple characterization of Student's distributions and normal distributions

DOI10.1016/J.SPL.2011.03.037zbMath1218.62009OpenAlexW1991234950MaRDI QIDQ552967

Jian Tian Wang

Publication date: 26 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.spl.2011.03.037

zbMATH Keywords

order statisticscharacterizationregressional property

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

Characterizations based on regression assumptions of order statistics

Cites Work

• A simple characterization of Student's \(t_2\) distribution
• A characterization by linearity of the regression function based on order statistics.
• A simple characterization of Student's \(t_3\) distribution
• ON CHARACTERIZING DISTRIBUTIONS VIA LINEARITY OF REGRESSION FOR ORDER STATISTICS
• New Characterizations by Properties of Midrange and Related Statistics

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