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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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Joint power control and user scheduling in multicell wireless networks: Capacity scaling laws
David Gesbert,Marios Kountouris +1 more
TL;DR: This paper addresses the optimization of the sum rate performance in multicell interference-limited singlehop networks where access points are allowed to cooperate in terms of joint resource allocation and provides scaling laws for upper and lower bounds for the network capacity, corresponding to zero-interference and worst-case interference scenarios.
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Local limit theorems for the maxima of discrete random variables
TL;DR: In this article, the authors give conditions under which there exist constants an > 0 and bn such that where G(x) is taken to be one of the extreme value distributions G1(x), G2, G3, G4, G5, G6, G7, G8, G10, G11, G12, G13, G14, G15, G16, G17, G18, G20, G21, G22, G23, G24, G25, G26, G27, G28
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Estimating an Endpoint of a Distribution with Resampling Methods
TL;DR: In this paper, the problem of estimating an endpoint of a distribution is revisited, using the bootstrap and random subsample methods, and it is shown that one can in fact construct asymptotically valid confidence intervals in some situations.
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The random acceleration process in bounded geometries
TL;DR: In this article, a point particle is accelerated by Gaussian white noise with zero mean, and the acceleration is considered on the half line x > 0 and on the finite line 0 < x < 1.
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Estimating the conditional extreme-value index under random right-censoring
TL;DR: This paper introduces an estimator of the extreme-value index in the presence of a random covariate when the response variable is right-censored, whether its conditional distribution belongs to the Frechet, Weibull or Gumbel domain of attraction.