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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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Best Practice Life Expectancy: An Extreme value Approach

TL;DR: In this paper, the authors examined the evolution of best-practice life expectancy by using extreme value theory and showed that generalized extreme value distributions offer a theoretically justified way to model best practice life expectancies.
Journal ArticleDOI

Fatigue strength characterization of Al-Si cast material incorporating statistical size effect

TL;DR: In this article, two different specimen geometries are manufactured from varying positions of an Al-Si-Cu alloy casting, and the crack initiation is dominated by the comparably greatest defects in this highly-stressed volume, which is known as Weibull's weakest link model.
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Estimation de la moyennes des valeurs les plus elevees d'une population finie: application aux inventaires forestiers

TL;DR: In this article, the authors compare the performance of two types of estimateurs, LRSR and LSC, in the context of estimating the moyenne des r plus grands individus of a population.
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Multiscale relaxation in aging colloidal gels: From localized plastic events to system-spanning quakes.

TL;DR: In this article, the authors provide a spatially and temporally resolved survey of the restructuring and aging processes that spontaneously occur in physical gels originating from an arrested phase separation and show that the temporal dynamics is characterized by an intermittent sequence of spatially localized ''microquakes'' that eventually lead to global rearrangements occurring at a rate that scales with the gel age.
Journal ArticleDOI

Conditional Maximum-Likelihood Estimators, from Singly Censored Samples, of the Scale Parameters of Type II Extreme-Value Distributions

TL;DR: In this paper, the scale parameters of the Type II asymptotic distribution of largest and smallest values of the exponential distribution were derived from the first m order statistics of a sample of size n. The probability densities of v n, | K = and v1, | K, where 2m /θ has the chi-square distribution with 2m degrees of freedom, were obtained by making use of the fact that v n, | k, and v 1, each of which for given m is the same for any n > m.