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Supplement to the law of large numbers when extreme terms are excluded

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Publication:3862163
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DOI10.1007/BF00538888zbMath0426.60028OpenAlexW2045670158MaRDI QIDQ3862163

Hirohisa Hatori, Makoto Maejima, Toshio Mori

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00538888


zbMATH Keywords

convergence rateslaw of large numbers


Mathematics Subject Classification ID

Strong limit theorems (60F15)





Cites Work

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  • The strong law of large numbers when extreme terms are excluded from sums
  • Some One-Sided Theorems on the Tail Distribution of Sample Sums with Applications to the Last Time and Largest Excess of Boundary Crossings
  • Stability for sums of i.i.d. random variables when extreme terms are excluded
  • Convergence rates in the law of large numbers when extreme terms are excluded




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