Strong laws for weighted sums of independent identically distributed random variables

DOI10.1215/S0012-7094-97-08808-6zbMath0883.60023OpenAlexW60076420MaRDI QIDQ1362074

Idris Assani

Publication date: 23 February 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08808-6

zbMATH Keywords

strong law of large numbersmaximal inequalityergodic dynamical systemrow-wise independent

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (8)

The return times property for the tail on logarithm-type spaces ⋮ Ergodic theorems for higher order Cesàro means ⋮ Extrapolation on \(L^{p,\infty}({\mu})\) ⋮ Breaking the duality in the return times theorem ⋮ A counting problem in ergodic theory and extrapolation for one-sided weights ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ An \(L^1\) counting problem in ergodic theory

Cites Work

• Unnamed Item
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Maximal inequalities of weak type
• Inequalities for the ergodic maximal function
• Convergence of weighted averages of independent random variables
• Complete Convergence and the Law of Large Numbers

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