A Transformation Characterizing the Normal Distribution

DOI10.1080/03610926.2012.693238zbMath1319.62025OpenAlexW2013135387MaRDI QIDQ3167844

Italo Pegoraro

Publication date: 29 October 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.693238

zbMATH Keywords

characterization of normalityrandom variable transformationsremoval of nuisance parameterstesting for normality

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Characterization and structure theory of statistical distributions (62E10)

Cites Work

• Über eine Eigenschaft der normalen Verteilungsfunktion
• Some methods of constructing exact tests
• A Test for Normality of Observations and Regression Residuals
• On characterizing the normal distribution by Student's law
• On the Problem of Replacing Composite Hypotheses by Equivalent Simple Ones
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes

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