Relative stability of trimmed sums

DOI10.1007/BF00532796zbMath0552.60025MaRDI QIDQ3345502

Ross A. Maller

Publication date: 1984

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

zbMATH Keywords

strong law of large numbersrelative stabilitytrimmed sumiterated logarithm type behaviour

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (10)

Limit laws of modulus trimmed sums ⋮ ASYMPTOTIC BEHAVIOR OF TRIMMED SUMS ⋮ On the relationship between the almost sure stability of weighted empirical distributions and sums of order statistics ⋮ Non-classical law of the iterated logarithm behaviour for trimmed sums ⋮ A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games ⋮ Asymptotics of trimmed CUSUM statistics ⋮ Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type ⋮ Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean ⋮ Laws of the iterated logarithm for sums of the middle portion of the sample ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean

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