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Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire
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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.read more
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Extremal theory for long range dependent infinitely divisible processes
Gennady Samorodnitsky,Yizao Wang +1 more
TL;DR: In this article, the authors prove limit theorems of an entirely new type for certain long memory regularly varying stationary infinitely divisible random processes, which involve multiple phase transitions governed by how long the memory is.
Dissertation
Comportement asymptotique de la distribution des pluies extrêmes en France
TL;DR: In this article, le comportement des valeurs extremes de pluie en France a ete analyse au travers de variables locales telles que les maxima annuels ou saisonniers of pluies mesurees sur differents pas de temps entre l'heure et la journee, les valeur superieures a un seuil eleve, ou the serie temporelle de succession d'averses.
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Karamata's characterization theorem, feller and regular variation in probability theory
TL;DR: In this paper, the authors investigate the conditions under which Karamata's characterization theorem holds, and indicate manifestations in the identification of the spectral functions of the stable laws of a distribution function.
Journal ArticleDOI
Flood frequency estimation and uncertainty in arid/semi-arid regions
TL;DR: In this paper, the authors presented a comprehensive evaluation of FFA in arid/semi-arid watersheds in relation to the unique characteristics of these regions, such as the limited number of floods occurring each year and the large variability of the flood peak discharges.
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Mean-performance of sharp restart I: statistical roadmap
Iddo Eliazar,Shlomi Reuveni +1 more
TL;DR: This paper presents a comprehensive mean-performance analysis of sharp restart, and establishes universal criteria that determine when sharp restart improves or worsens mean- performance, i.e., decreases or increases mean first-passage/completion times.