On the asymptotic normality of self-normalized sums

DOI10.1017/S0305004100070018zbMath0723.62008MaRDI QIDQ3210704

Philip S. Griffin, David M. Mason

Publication date: 1991

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalitynecessary and sufficient conditionsmodulus trimmed sumscalar normalized versionStudentized version

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)

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Cites Work

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• The asymptotic distribution of magnitude-Winsorized sums via self- normalization
• Limit distributions of self-normalized sums
• Uniform approximation to distributions of extreme order statistics
• Student's t-Test Under Symmetry Conditions
• The Influence of the Maximum Term in the Addition of Independent Random Variables