Journal ArticleDOI
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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The distribution of the maximum of a random number of random variables with applications
TL;DR: In this paper, the authors show that the asymptotic distribution of the maximum of a random number of random variables taken from the model below is the same as when their number is a fixed integer.
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Random walkers with extreme value memory: modelling the peak-end rule
TL;DR: This paper investigated whether increased noise/disruption always leads to more switching between decisions, and found that the long-time behaviour is dependent on the scale used for reflection, which could have implications for questionnaire design.
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Extreme value theory for continuous parameter stationary processes.
M. R. Leadbetter,Holger Rootzén +1 more
TL;DR: In this paper, Gnedenko's theorem was proved for maxima of continuous parameter stochastic processes with a finite number of upcrossings per unit time and a finite mean.
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Long run peso/dollar exchange rates and extreme value behavior: Value at Risk modeling
TL;DR: In this paper, an extended VaR integrating a generalized extreme value distribution was applied to estimate potential losses from investing in the peso/dollar exchange market using daily data for the period 1970-2007; the block maxima approach was used to minimize impact from dependency in prices due to the presence of heteroscedasticity.
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On limit reliability functions of large multi-state systems with ageing components
TL;DR: In this paper, basic multi-state systems defining and their reliability functions fixing the classes of possible limit reliability functions for series, parallel, series-parallel and parallel-series non-homogeneous systems are given and some applications of the results to reliability and risk evaluation of real technical systems are presented.