On the higher order product density functions of a Neyman–Scott cluster point process

2016 ◽  
Vol 117 ◽  
pp. 144-150 ◽  
Author(s):  
Abdollah Jalilian
Keyword(s):  
Point Process ◽  
Higher Order ◽  
Cluster Point ◽  
Density Functions ◽  
Product Density ◽  
Cluster Point Process

Modeling and Analysis of NOMA Enabled CRAN with Cluster Point Process

2017 ◽  
Author(s):  
Francisco J. Martin-Vega ◽  
Yuanwei Liu ◽  
Gerardo Gomez ◽  
Mari Carmen Aguayo-Torres ◽  
Maged Elkashlan
Keyword(s):  
Point Process ◽  
Cluster Point ◽  
Modeling And Analysis ◽  
Cluster Point Process

Interacting cluster point process model for epidermal nerve fibers

2020 ◽  
Vol 35 ◽  
pp. 100414
Author(s):  
Nancy L. Garcia ◽  
Peter Guttorp ◽  
Guilherme Ludwig
Keyword(s):  
Point Process ◽  
Process Model ◽  
Nerve Fibers ◽  
Cluster Point ◽  
Point Process Model ◽  
Cluster Point Process

Generalized Shock Models Based on a Cluster Point Process

2006 ◽  
Vol 55 (3) ◽  
pp. 542-550 ◽  
Author(s):  
J.-M. Bai ◽  
Z.-H. Li ◽  
X.-B. Kong
Keyword(s):  
Point Process ◽  
Cluster Point ◽  
Cluster Point Process ◽  
Shock Models

scholarly journals Markov properties of cluster processes

1996 ◽  
Vol 28 (2) ◽  
pp. 346-355 ◽  
Author(s):  
A. J. Baddeley ◽  
M. N. M. Van Lieshout ◽  
J. Møller
Keyword(s):  
Poisson Process ◽  
Point Process ◽  
Markov Property ◽  
Nearest Neighbour ◽  
Finite Range ◽  
Cluster Process ◽  
Cluster Point Process ◽  
Poisson Cluster ◽  
Markov Properties ◽  
Uniformly Bounded

We show that a Poisson cluster point process is a nearest-neighbour Markov point process [2] if the clusters have uniformly bounded diameter. It is typically not a finite-range Markov point process in the sense of Ripley and Kelly [12]. Furthermore, when the parent Poisson process is replaced by a Markov or nearest-neighbour Markov point process, the resulting cluster process is also nearest-neighbour Markov, provided all clusters are non-empty. In particular, the nearest-neighbour Markov property is preserved when points of the process are independently randomly translated, but not when they are randomly thinned.

scholarly journals Higher-Order Spectra of Cluster Point Processes Generating 1/f Fluctuations.

1998 ◽  
Vol 4 (1) ◽  
pp. 51-64 ◽  
Author(s):  
Toshimitsu TAKAHASHI ◽  
Mitsuyuki NAKAO ◽  
Ferdinand GRÜNEIS ◽  
Yoshinari MIZUTANI ◽  
Mitsuaki YAMAMOTO
Keyword(s):  
Point Processes ◽  
Higher Order ◽  
Cluster Point ◽  
Higher Order Spectra
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