Strong laws for the k-th order statistic when k\(\leq c\,\log _ 2\,n\)
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Publication:1075678
DOI10.1007/BF00343900zbMath0592.60020OpenAlexW4249368106MaRDI QIDQ1075678
Publication date: 1986
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00343900
order statisticsregularity conditionsuniform distributioniterated logarithm lawsupper and lower class sequences
Related Items (11)
On stability of intermediate order statistics ⋮ A tail empirical process approach to some nonstandard laws of the iterated logarithm ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. II. Distributions with heavy tails ⋮ Almost sure convergence of the Hill estimator ⋮ Strong laws for exponential order statistics and spacings ⋮ Stability theorems for large order statistics with varying ranks ⋮ A functional law of the iterated logarithm for tail quantile processes ⋮ Nonstandard strong laws for local quantile processes ⋮ Strong convergence bounds of the Hill-type estimator under second-order regularly varying conditions ⋮ Multivariate stability and strong limiting behaviour of intermediate order statistics ⋮ On the estimation of the adjustment coefficient in risk theory via intermediate order statistics
Cites Work
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- Laws of the iterated logarithm for order statistics of uniform spacings
- Linear bounds on the empirical distribution function
- Strong laws for the maximal k-spacing when k?c log n
- Symmetric Measures on Cartesian Products
- Upper and lower class sequences for minimal uniform spacings
- On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
- On the Application of the Borel-Cantelli Lemma
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