The two-parameter Poisson–Dirichlet point process [PDF]
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.
Kenji Handa
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Spatial form factor for point patterns: Poisson point process, Coulomb gas, and vortex statistics [PDF]
Physical Review ResearchPoint processes have broad applications in science and engineering. In physics, their use ranges from quantum chaos to statistical mechanics of many-particle systems.
Matteo Massaro, Adolfo del Campo
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Deterministic walk on Poisson point process [PDF]
ESAIM: Proceedings and Surveys, 2017 A deterministic walk on a Poisson point process in Rd is an oriented graph where each point of the process is connected to only one other point following a deterministic and stationary rule of connection.
Stum Simon Le
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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 Choiruddin A +3 more
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Navigation on a Poisson point process
The 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.
Bordenave, Charles
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A Stochastically Geometrical Poisson Point Process Approach for the Future 5G D2D Enabled Cooperative Cellular Network [PDF]
IEEE Access, 2019 Due to recent developments in the cellular communication system, stochastic process implementation is necessary. The cellular communication system exhibits random patterns in various domains, thereby compelling the utilization of stochastic processes to ...
Faizan Qamar +4 more
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Scattering Statistics of Generalized Spatial Poisson Point Processes [PDF]
ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019 We present a machine learning model for the analysis of randomly generated discrete signals, modeled as the points of an inhomogeneous, compound Poisson point process. Like the wavelet scattering transform introduced by Mallat, our construction is naturally invariant to translations and reflections, but it decouples the roles of scale and frequency ...
Michael Perlmutter +2 more
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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
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Modeling Scheme of Multi-Layer Heterogeneous Network for Dense Hotspot Area [PDF]
Jisuanji gongcheng, 2021 To address the heterogeneity in Base Station(BS) deployment and the coupling between User Equipment (UE) and BS in the hotspot communication scenario of the fifth-generation(5G)/beyond 5G(B5G) networks,this paper proposes a three-layer heterogeneous ...
Lü Yaping, JIA Xiangdong, CHEN Yuwan, LU Yi
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Poissonization Principle for a Class of Additive Statistics
Mathematics, 2022 In this paper, we consider a class of additive functionals of a finite or countable collection of the group frequencies of an empirical point process that corresponds to, at most, a countable partition of the sample space.
Igor Borisov, Maman Jetpisbaev
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