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Poisson point processes

2014
This chapter will serve as a quick review of the essential results in the theory of Poisson point processes (PPPs) that we shall use for our analysis later in the book. However, we shall first take a step back and discuss point processes in general and their applicability to our wireless deployments of interest.
Alexander Drewitz   +2 more
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Poisson branching point processes

Journal of Mathematical Physics, 1984
We investigate the statistical properties of a special branching point process. The initial process is assumed to be a homogeneous Poisson point process (HPP). The initiating events at each branching stage are carried forward to the following stage.
Kuniaki Matsuo   +2 more
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Robustness for Inhomogeneous Poisson Point Processes

Annals of the Institute of Statistical Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Assunção, Renato, Guttorp, Peter
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Time series with Poisson point process

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghazal, M. A., Aly, A. Mitwalli
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Point processes subordinated to compound Poisson processes

Theory of Probability and Mathematical Statistics, 2017
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Kobylych, K. V., Sakhno, L. M.
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Poisson point and Poisson processes

2017
This chapter starts with a general description of Poisson point processes. These processes are defined from four natural axioms describing the spatial distribution of so-called Poisson points scattered homogeneously in a random manner across the d-dimensional Euclidean space.
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Compressive Data Aggregation from Poisson point process observations

2015 International Symposium on Wireless Communication Systems (ISWCS), 2015
This paper introduces Stochastic Compressive Data Aggrega The Poisson point process (PPP) models the random deployment, and at the same time, allows the efficient implementation of an adequate sparsifying matrix, the random discrete Fourier transform (RDFT). The signal recovery is based on the RDFT which reveals the frequency content of smooth signals,
Pastor, Giancarlo   +4 more
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Poisson Point Processes

2015
Throughout this note we will use the following notations. An interval of the type [l, r), \(-\infty < l < r \le \infty \) is called a time interval and is denoted by \(T, T_1, T_2, \ldots \). T is regarded as a measurable space associated with the topological \(\sigma \)-algebra on \(\mathscr {T}\) on T.
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The Poisson Point Process

2014
Poisson point processes can be used as a cornerstone in the construction of very different stochastic objects such as, for example, infinitely divisible distributions, Markov processes with complex dynamics, objects of stochastic geometry and so forth.
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