نتایج جستجو برای: geometric random variable

تعداد نتایج: 608815  

Journal: :The Annals of Applied Probability 2011

Journal: :The Annals of Applied Probability 2016

Journal: :Probability in the Engineering and Informational Sciences 2013

Journal: :IEEE Transactions on Network Science and Engineering 2019

Journal: :EPL (Europhysics Letters) 2017

Journal: :Methodology and Computing in Applied Probability 2021

Abstract This work introduces and compares approaches for estimating rare-event probabilities related to the number of edges in random geometric graph on a Poisson point process. In one-dimensional setting, we derive closed-form expressions variety conditional develop Monte Carlo algorithms this basis. We prove rigorously reduction variance when compared crude estimators illustrate magnitude im...

Journal: :Journal of Complex Networks 2017

2009
Nicolas Broutin Luc Devroye Gabor Lugosi

A random geometric irrigation graph Γn(rn, ξ) has n vertices identified by n independent uniformly distributed points X1, . . . , Xn in the unit square [0, 1]. Each point Xi selects ξi neighbors at random, without replacement, among those points Xj (j 6= i) for which ‖Xi − Xj‖ < rn, and the selected vertices are connected to Xi by an edge. The number ξi of the neighbors is an integer-valued ran...

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