Stability for sums of i.i.d. random variables when extreme terms are excluded

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Publication:4119900

DOI10.1007/BF00532880zbMath0349.60054MaRDI QIDQ4119900

Toshio Mori

Publication date: 1977

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




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A phase transition in random coin tossingThe influence of extremes on the law of the iterated logarithmOn the relationship between the almost sure stability of weighted empirical distributions and sums of order statisticsConvergence in distribution of lightly trimmed and untrimmed sums are equivalentA functional law of the iterated logarithm for distributions in the domain of partial attraction of the normal distributionA strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg gamesExtrema of Luroth Digits and a zeta function limit relationSymmetric Birkhoff sums in infinite ergodic theoryChover-type laws of the iterated logarithm for weighted sums.Dimension of Gibbs measures with infinite entropyAsymptotics of trimmed CUSUM statisticsMean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tailsIntermediately trimmed strong laws for Birkhoff sums on subshifts of finite typeStrong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite meanLaws of the iterated logarithm for symmetric stable processesQuantitative ergodic theorems for weakly integrable functionsLaws of the iterated logarithm for sums of the middle portion of the sampleRelative stability of trimmed sumsSupplement to the law of large numbers when extreme terms are excludedStrong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite meanConvergence rates in the law of large numbers when extreme terms are excludedA LIL and limit distributions for trimmed sums of random vectors attracted to operator semi-stable lawsTrimmed sums for non-negative, mixing stationary processes.An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi lawStrong approximation theorems for sums of random variables when extreme terms are excludedExtreme values and the law of the iterated logarithmLimit law of the iterated logarithm for \(B\)-valued trimmed sums



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