Non-parametric confidence intervals for correlations in nearest-neighbour Markov point processes

2002 ◽  
Vol 13 (2) ◽  
pp. 187-207
Author(s):  
Andrea Pallini
Keyword(s):  
Confidence Intervals ◽  
Point Processes ◽  
Nearest Neighbour ◽  
Markov Point Processes ◽  
Non Parametric

A spatial Markov property for nearest-neighbour Markov point processes

1990 ◽  
Vol 27 (04) ◽  
pp. 767-778 ◽  
Author(s):  
W. S. Kendall
Keyword(s):  
Point Processes ◽  
Markov Property ◽  
Nearest Neighbour ◽  
Markov Point Processes

Nearest-neighbour Markov point processes were introduced by Baddeley and Møller (1989) as generalizations of the Markov point processes of Ripley and Kelly. This note formulates and discusses a spatial Markov property for these point processes.

scholarly journals Nearest-neighbour Markov point processes on graphs with Euclidean edges

2018 ◽  
Vol 50 (4) ◽  
pp. 1275-1293 ◽  
Author(s):  
M. N. M. van Lieshout
Keyword(s):  
Real Line ◽  
Point Processes ◽  
Local Geometry ◽  
Renewal Processes ◽  
Nearest Neighbour ◽  
The Real ◽  
Consistency Conditions ◽  
Linear Networks ◽  
Markov Point Processes ◽  
Neighbour Point

Abstract We define nearest-neighbour point processes on graphs with Euclidean edges and linear networks. They can be seen as analogues of renewal processes on the real line. We show that the Delaunay neighbourhood relation on a tree satisfies the Baddeley‒Møller consistency conditions and provide a characterisation of Markov functions with respect to this relation. We show that a modified relation defined in terms of the local geometry of the graph satisfies the consistency conditions for all graphs with Euclidean edges that do not contain triangles.

A spatial Markov property for nearest-neighbour Markov point processes

1990 ◽  
Vol 27 (4) ◽  
pp. 767-778 ◽  
Author(s):  
W. S. Kendall
Keyword(s):  
Point Processes ◽  
Markov Property ◽  
Nearest Neighbour ◽  
Markov Point Processes

Nearest-neighbour Markov point processes were introduced by Baddeley and Møller (1989) as generalizations of the Markov point processes of Ripley and Kelly. This note formulates and discusses a spatial Markov property for these point processes.

Nearest-Neighbour Markov Point Processes and Random Sets

1989 ◽  
Vol 57 (2) ◽  
pp. 89 ◽  
Author(s):  
Adrian Baddeley ◽  
Jesper Møller ◽  
Jesper Moller
Keyword(s):  
Point Processes ◽  
Random Sets ◽  
Nearest Neighbour ◽  
Markov Point Processes

Markov point processes

1978 ◽  
Vol 10 (2) ◽  
pp. 262-263
Author(s):  
Erhan Çinlar
Keyword(s):  
Point Processes ◽  
Markov Point Processes

Transformations of Markov point processes

1998 ◽  
Vol 30 (2) ◽  
pp. 281-281
Author(s):  
Eva B. Vedel Jensen ◽  
Linda Stougaard Nielsen
Keyword(s):  
Point Processes ◽  
Markov Point Processes
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