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Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

信息论 · 计算机科学 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

Postulating that increasing linear energy transfer (LET) causes non-random clustering of lethal lesions to deviate from the Poisson distribution, we employ a non-Poisson approach as a more flexible alternative that accounts for…

医学物理 · 物理学 2020-09-22 M. Loan , M. Alameen , A. Bhat , M. Tantary

Point processes model the distribution of random point sets in mathematical spaces, such as spatial and temporal domains, with applications in fields like seismology, neuroscience, and economics. Existing statistical and machine learning…

机器学习 · 计算机科学 2024-10-31 David Lüdke , Enric Rabasseda Raventós , Marcel Kollovieh , Stephan Günnemann

We focus on the estimation of the intensity of a Poisson process in the presence of a uniform noise. We propose a kernel-based procedure fully calibrated in theory and practice. We show that our adaptive estimator is optimal from the oracle…

统计方法学 · 统计学 2022-06-29 Anna Bonnet , Claire Lacour , Franck Picard , Vincent Rivoirard

Pushing data traffic from cellular to WiFi is an example of inter radio access technology (RAT) offloading. While this clearly alleviates congestion on the over-loaded cellular network, the ultimate potential of such offloading and its…

信息论 · 计算机科学 2016-11-18 Sarabjot Singh , Harpreet S. Dhillon , Jeffrey G. Andrews

Consider a dynamical network model featuring mobile stations on the Euclidean plane. The initial locations of the stations are given by a homogeneous Poisson point process. The stations are all moving at a constant speed and in a random…

概率论 · 数学 2026-05-19 François Baccelli , Sanjoy Kumar Jhawar

We consider the soft-core Widom-Rowlinson model for particles with spins and holes, on a Cayley tree of order $d$ (which has $d + 1$ nearest neighbours), depending on repulsion strength $\beta$ between particles of different signs and on an…

概率论 · 数学 2023-02-14 Sebastian Bergmann , Sascha Kissel , Christof Kuelske

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

概率论 · 数学 2007-05-23 A. Rybko , S. Shlosman

Motivated by the study of reversal behaviour of myxobacteria, in this article we are interested in a kinetic model for reversal dynamics, in which particles with directions close to be opposite undergo binary collision resulting in…

偏微分方程分析 · 数学 2023-05-22 Amic Frouvelle , Laura Kanzler , Christian Schmeiser

We consider together the retrospective and the sequential change-point detection in a general class of integer-valued time series. The conditional mean of the process depends on a parameter $\theta^*$ which may change over time. We propose…

统计理论 · 数学 2020-07-29 Mamadou Lamine Diop , William Kengne

The performance of a cellular network can be significantly improved by employing many base stations (BSs), which shortens transmission distances. However, there exist no known results on quantifying the performance gains from deploying many…

网络与互联网体系结构 · 计算机科学 2012-04-09 Seunghyun Lee , Kaibin Huang

In modern telecommunications, spatial burstiness of data traffic poses challenges to traditional Poisson-based models. This paper describes application of thinning-stable point processes, which provide a more appropriate framework for…

应用统计 · 统计学 2025-05-12 Sergei Zuyev

In many applications involving spatial point patterns, we find evidence of inhibition or repulsion. The most commonly used class of models for such settings are the Gibbs point processes. A recent alternative, at least to the statistical…

统计计算 · 统计学 2016-08-29 Shinichiro Shirota , Alan. E. Gelfand

The seemingly disjoint problems of count and mixture modeling are united under the negative binomial (NB) process. A gamma process is employed to model the rate measure of a Poisson process, whose normalization provides a random probability…

统计方法学 · 统计学 2013-10-15 Mingyuan Zhou , Lawrence Carin

In this paper, we propose a distributed power control algorithm for addressing the global energy efficiency (GEE) maximization problem subject to satisfying a minimum target SINR for all user equipments (UEs) in wireless cellular networks.…

信号处理 · 电气工程与系统科学 2020-09-09 Rojin Aslani , Mehdi Rasti

With any max-stable random process $\eta$ on $\mathcal{X}=\mathbb{Z}^d$ or $\mathbb{R}^d$, we associate a random tessellation of the parameter space $\mathcal{X}$. The construction relies on the Poisson point process representation of the…

概率论 · 数学 2016-01-07 Clément Dombry , Z. Kabluchko

Base station (BS) cooperation is set to play a key role in managing interference in dense heterogeneous cellular networks (HCNs). Non-coherent joint transmission (JT) is particularly appealing due to its low complexity, smaller overhead,…

信息论 · 计算机科学 2014-02-18 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

Let $X$ be a real $(\beta=1)$ or complex $(\beta=2)$ Ginibre ensemble. Let $\{\sigma_i\}_{1\le i\le n}$ be the eigenvalues of $X,$ and $Z_n$ be some rescaled version of $\max_i \Re \sigma_i.$ It was proved that $Z_n$ converges weakly to the…

概率论 · 数学 2025-09-08 Xinchen Hu , Yutao Ma

We study large-deviation principles for a model of wireless networks consisting of Poisson point processes of transmitters and receivers, respectively. To each transmitter we associate a family of connectable receivers whose…

Poisson distributed measurements in inverse problems often stem from Poisson point processes that are observed through discretized or finite-resolution detectors, one of the most prominent examples being positron emission tomography (PET).…

统计理论 · 数学 2024-07-25 Marco Mauritz , Benedikt Wirth