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Poisson point processes with exclusion
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1978We give the definition of Poisson point processes with exclusion by their local conditional distributions, treat the existence and uniqueness problem and their applications in percolation theory.
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2010
Properties of multidimensional Poisson point processes (PPPs) are discussed using a constructive approach readily accessible to a broad audience. The processes are defined in terms of a two-step simulation procedure, and their fundamental properties are derived from the simulation.
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Properties of multidimensional Poisson point processes (PPPs) are discussed using a constructive approach readily accessible to a broad audience. The processes are defined in terms of a two-step simulation procedure, and their fundamental properties are derived from the simulation.
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Poisson point process modeling for polyphonic music transcription
The Journal of the Acoustical Society of America, 2007Peaks detected in the frequency domain spectrum of a musical chord are modeled as realizations of a nonhomogeneous Poisson point process. When several notes are superimposed to make a chord, the processes for individual notes combine to give another Poisson process, whose likelihood is easily computable.
Paul, Peeling +2 more
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Scanning Points in a Poisson Process
2001Let Y t (w) denote the number of points (X’s) in the interval {t, t + w). The scan statistic \( {S_w} = \mathop {\max }\limits_{0 < t < T - w} \;\{ {Y_t}(w)\}\), denotes the largest number of points to be found in any subinterval of [0, T) of length w. Let X (1) ≤ X (2) ≤ ...,denote the ordered values of the X’s.
Joseph Glaz +2 more
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2009
The following theorem shows that all the finite-dimensional distributions for the process with independent increments ...
Dmytro Gusak +4 more
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The following theorem shows that all the finite-dimensional distributions for the process with independent increments ...
Dmytro Gusak +4 more
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Tessellated Spatial Poisson Point Process Models
A novel framework for the local modelling of spatial point processes is proposed by extending segmented regression models to spatial contexts. The approach consists of a two-step procedure: first, a spatial segmentation algorithm identifies a spatial tessellation using geographically weighted regression estimates; then, a log-linear Poisson model is ...openaire +1 more source
List-Decodability of Poisson Point Processes
2022 IEEE International Symposium on Information Theory (ISIT), 2022Yihan Zhang, Shashank Vatedka
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Planar Poisson Point and Line Processes
2009Many fibrous materials, such as those shown in Figure 1.1 are very close to being two-dimensional because their dimensions perpendicular to the plane are very small relative to in-plane dimensions. For example, the paper on which this book is printed has thickness of order 100 μm, so the in-plane dimensions of the smallest sample likely to have any ...
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