Convergence rates in the law of large numbers when extreme terms are excluded

DOI10.1007/BF00533245zbMath0391.60035OpenAlexW1970178443MaRDI QIDQ4172707

Hirohisa Hatori, Makoto Maejima, Toshio Mori

Publication date: 1979

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533245

zbMATH Keywords

Strong Law of Large NumbersConvergence Rate

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (4)

Asymptotic normality of lightly trimmed means – a converse ⋮ On the limit distributions of lightly trimmed sums ⋮ Relative stability of trimmed sums ⋮ Supplement to the law of large numbers when extreme terms are excluded

Cites Work

• An Extremal Problem in Probability Theory
• The strong law of large numbers when extreme terms are excluded from sums
• Stability for sums of i.i.d. random variables when extreme terms are excluded
• Convergence Rates in the Law of Large Numbers
• Strong Laws for Ruled Sums
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