The asymptotic distribution of magnitude-Winsorized sums via self- normalization

DOI10.1007/BF01063331zbMath0696.60025MaRDI QIDQ910804

Marjorie G. Hahn, James Kuelbs, Daniel Charles Weiner

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

trimmed sumsself-normalized sumsmagnitude- Winsorized sumstightness and weak convergence theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

On the asymptotic normality of self-normalized sums ⋮ Asymptotic behavior of self-normalized trimmed sums: Nonnormal limits. II ⋮ The asymptotic distribution of magnitude trimmed sums for distributions in the Feller class

Cites Work

• Unnamed Item
• What portion of the sample makes a partial sum asymptotically stable or normal?
• Matrix normalized sums of independent identically distributed random vectors
• The asymptotic distribution of trimmed sums
• Asymptotic normality of Winsorized means
• Asymptotic normality and subsequential limits of trimmed sums
• Asymptotic normality of lightly trimmed means – a converse
• On the limit distributions of lightly trimmed sums
• The central limit problem for trimmed sums