Relative stability and the strong law of large numbers

DOI10.1007/BF00668456zbMath0366.60035MaRDI QIDQ4142399

Ross A. Maller

Publication date: 1978

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

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (19)

On relative stability and weighted laws of large numbers ⋮ Stability of sums of independent random variables ⋮ Gnedenko-Raikov's theorem, central limit theory, and the weak law of large numbers ⋮ Regular variation and probability: The early years ⋮ Limit theorems for dependent random variables with infinite means ⋮ On one-sided boundedness of normed partial sums ⋮ On the law of large numbers for stationary sequences ⋮ Weak laws of large numbers for weighted independent random variables with infinite mean ⋮ On the strong law of large numbers for normed weighted sums of I.I.D. random variables ⋮ Marcinkiewicz laws with infinite moments ⋮ A criterion for strong relative stability of random walk on the line ⋮ Limit Theorems for a Generalized Feller Game ⋮ Minimal conditions in \(p\)-stable limit theorems ⋮ Relative stability of trimmed sums ⋮ On exact laws of large numbers for Oppenheim expansions with infinite mean ⋮ Unnamed Item ⋮ The weak law of large numbers for nonnegative summands ⋮ Weak laws of large numbers for cooperative gamblers ⋮ A renewal theorem for relatively stable variables

Cites Work

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• Strong and weak limit points of a normalized random walk
• ON SUMS OF INDEPENDENT RANDOM VARIABLES WITH INFINITE MOMENTS AND „FAIR” GAMES
• Relatively Stable Walks
• Regularly Varying Sequences

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