Ratios of trimmed sums and order statistics
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Publication:1203657
DOI10.1214/aop/1176989530zbMath0764.60034OpenAlexW1994496254MaRDI QIDQ1203657
Publication date: 22 February 1993
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176989530
Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Related Items (12)
Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Some effects of trimming on the law of the iterated logarithm ⋮ Random deletion does not affect asymptotic normality or quadratic negligibility ⋮ A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games ⋮ Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type ⋮ Small-time compactness and convergence behavior of deterministically and self-normalised Lévy processes ⋮ Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ Exceeding of partial sums of independent uniformly distributed real random variables with undefined mean ⋮ Distributional representations and dominance of a Lévy process over its maximal jump processes ⋮ Overshoots over curved boundaries
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