On the strong law of large numbers for normed weighted sums of I.I.D. random variables

DOI10.1080/07362998708809131zbMath0636.60027OpenAlexW2032383140MaRDI QIDQ3776309

Andrew Rosalsky, André Adler

Publication date: 1987

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998708809131

zbMATH Keywords

weighted sums of i.i.d. random variablesgeneral strong law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (6)

Some Strong and Weak Limit Theorems for Weighted Sums of i.i.d. Banach Space Valued Random Elements with Slowly Varying Weights ⋮ Almost sure limit behaviour of Cesàro sums with small order ⋮ On the Jajte strong law of large numbers ⋮ On strong law of large numbers and growth rate for a class of random variables ⋮ On some properties of randomly indexed sequences of random elements ⋮ On the limiting behavior of randomly weighted partial sums

Cites Work

• Stability of random variables and iterated logarithm laws for martingales and quadratic forms
• Iterated logarithm laws for asymmetric random variables barely with or without finite mean
• Relative stability and the strong law of large numbers
• Some general strong laws for weighted sums of stochastically dominated random variables
• Note on the Law of Large Numbers and "Fair" Games
• Unnamed Item

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