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COVID-19 transmission risk in Surabaya and Sidoarjo: an inhomogeneous marked Poisson point process approach. [PDF]
Stoch Environ Res Risk Assess, 2023 Understanding the spatio-temporal dynamics of COVID-19 transmission is necessary to plan better strategies for controlling the spread of the disease. However, only a few studies explore the COVID-19 transmission risk over a fine spatial resolution while ...
Choiruddin A +3 more
europepmc +2 more sources
The radial spanning tree of a Poisson point process [PDF]
Annals of Applied Probability, 2007 We analyze a class of spatial random spanning trees built on a realization of a homogeneous Poisson point process of the plane. This tree has a simple radial structure with the origin as its root. We first use stochastic geometry arguments to analyze local functionals of the random tree such as the distribution of the length of the edges or the mean ...
François Baccelli, Charles Bordenave
exaly +7 more sources
Approximation of a Sample by a Poisson Point Process
Journal of Mathematical Sciences, 2005 The distribution of a sum of \(n\) independent random variables \(X_i\) has been approximated by that of the `accompanying' infinitely divisible law, with an error bound uniformly over all distributions: see, for example, \textit{È. L. Presman} [Theory Probab. Appl. 18, 378--384 (1973); translation from Teor. Veroyatn. Primen.
A Yu Zaitsev, Zaitsev A Yu
exaly +3 more sources
The two-parameter Poisson–Dirichlet point process
Bernoulli, 2009 The two-parameter Poisson--Dirichlet distribution is a probability distribution on the totality of positive decreasing sequences with sum 1 and hence considered to govern masses of a random discrete distribution. A characterization of the associated point process (that is, the random point process obtained by regarding the masses as points in the ...
Kenji Handa
exaly +4 more sources
Navigation on a Poisson point process
Annals of Applied Probability, 2008 On a locally finite point set, a navigation defines a path through the point set from one point to another. The set of paths leading to a given point defines a tree known as the navigation tree. In this article, we analyze the properties of the navigation tree when the point set is a Poisson point process on $\mathbb{R}^d$.
Charles Bordenave
exaly +6 more sources
Poisson Cox Point Processes for Vehicular Networks
IEEE Transactions on Vehicular Technology, 2018 This paper analyzes statistical properties of the Poisson line Cox point process useful in the modeling of vehicular networks. The point process is created by a two-stage construction: a Poisson line process to model road infrastructure and independent Poisson point processes, conditionally on the Poisson lines, to model vehicles on the roads.
Chang-Sik Choi, François Baccelli
exaly +3 more sources
The favorite point of a Poisson process
Stochastic Processes and Their Applications, 1995 Let \(N\) be a Poisson process with the unit rate, \(\xi_ t (x)\) be the occupation of \(x\) by time \(t\), i.e. \(\xi_ t (x) = \int^ t_ 0 I_{\{x\}} (N_ u) du\). The favorite point of \(N\) up to time \(t\) is defined as follows: \[ X_ t = \min \bigl \{k \geq 0 : \xi_ t (k) \geq \xi_ t (i) \text{ for all } i \geq 0 \bigr\}.
Davar Khoshnevisan, Thomas M Lewis
exaly +2 more sources
The Spatio-Temporal Poisson Point Process: A Simple Model for the Alignment of Event Camera Data [PDF]
IEEE International Conference on Computer Vision, 2021 Event cameras, inspired by biological vision systems, provide a natural and data efficient representation of visual information. Visual information is acquired in the form of events that are triggered by local brightness changes.
Cheng Gu +4 more
semanticscholar +1 more source
Spatial Pattern Simulation of Antenna Base Station Positions Using Point Process Techniques
Telecom, 2022 Spatial statistics is a powerful tool for analyzing data that are illustrated as points or positions in a regular or non-regular state space. Techniques that are proposed to investigate the spatial association between neighboring positions are based on ...
Stelios Zimeras
doaj +1 more source
IEEE Transactions on Antennas and Propagation, 2021 Line-of-sight (LOS) probability is a key component of system-level simulations that are required for creating new standards and recommendations for wireless systems. In particular for millimeter-wave systems, an unobstructed view between the base station
Pasi Koivumäki, A. Molisch, K. Haneda
semanticscholar +1 more source