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The speed of convergence of a martingale

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Publication:1251855
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DOI10.1007/BF02761187zbMath0392.60043MaRDI QIDQ1251855

Harry Kesten

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

MartingaleSpeed of ConvergenceIterated Logarithm


Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15)


Related Items (5)

Convergent martingales of asymptotically minimal fluctuation ⋮ On the limiting behavior of tail series ⋮ On the rate of convergence of series of banach space valued random elements ⋮ On convergence of series of random variables with applications to martingale convergence and to convergence of series with orthogonal summands ⋮ On convergence of series of independent random elements in banach spaces



Cites Work

  • On the oscillation of the Brownian motion process
  • How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
  • Iterated Logarithm laws for weighted averages
  • On central limit and iterated logarithm supplements to the martingale convergence theorem
  • A log log improvement to the Riemann hypothesis for the Hawkins random sieve
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