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Journal ArticleDOI

Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire

B. W. Gnedenko
- 01 Jul 1943 - 
- Vol. 44, Iss: 3, pp 423
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This article is published in Annals of Mathematics.The article was published on 1943-07-01. It has received 2037 citations till now.

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Journal ArticleDOI

Rateless Lossy Compression via the Extremes

Albert No, +1 more
- 01 Oct 2016 - 
TL;DR: In this article, a simple lossy compressor operating at near-zero rate was proposed, where the encoder merely describes the indices of the few maximal source components, while the decoder's reconstruction is a natural estimate of the source components based on this information.
Journal ArticleDOI

Asymptotic behavior for iterated functions of random variables

Deli Li, +1 more
- 01 Nov 1999 - 
TL;DR: In this paper, the authors studied the asymptotic behavior of the hierarchical sequence of measurable iterated functions in a closed domain and established general asymPTotic results for such sequences under some surprisingly relaxed conditions.
Journal ArticleDOI

A Note on the Moments and Computer Generation of the Shifted Gompertz Distribution

Fernando Jiménez, +1 more
- 17 Oct 2008 - 
TL;DR: In this article, the authors derived a closed-form expression for the quantile function of the shifted Gompertz distribution in terms of the Lambert W function and showed that the domains of attraction for maxima and minima are the Gumbel and Weibull distributions, respectively.
Journal ArticleDOI

On the discrepancy of jittered sampling

Florian Pausinger, +1 more
- 01 Apr 2016 - 
TL;DR: In this paper, the authors studied the discrepancy of jittered sampling sets, where a set P? 0, 1 d is generated for fixed m? N by partitioning 0, 1 d into m d axis aligned cubes of equal measure and placing a random point inside each of the n = m d cubes.
Book ChapterDOI

Confidence Intervals for Flood Return Level Estimates Assuming Long-Range Dependence

Henning W. Rust, +3 more
TL;DR: In this article, the authors compare four bootstrap strategies, out of which one yields promising results, and the performance of this semi-parametric bootstrap strategy is studied in more detail.