Statistical Analysis of Spatial Point Patterns.

1986 ◽  
Vol 81 (393) ◽  
pp. 263 ◽  
Author(s):  
S. K. Katti ◽  
Peter J. Diggle ◽  
Brian D. Ripley
Keyword(s):  
Statistical Analysis ◽  
Point Patterns ◽  
Spatial Point ◽  
Spatial Point Patterns

Statistical Analysis of Spatial Point Patterns by Means of Distance Methods

Biometrics ◽  
1976 ◽  
Vol 32 (3) ◽  
pp. 659 ◽  
Author(s):  
Peter J. Diggle ◽  
Julian Besag ◽  
J. Timothy Gleaves
Keyword(s):  
Statistical Analysis ◽  
Point Patterns ◽  
Spatial Point ◽  
Spatial Point Patterns ◽  
Distance Methods

Multitype Markov point processes: some approximations

1984 ◽  
Vol 391 (1800) ◽  
pp. 39-53 ◽  
Keyword(s):  
Statistical Analysis ◽  
Point Processes ◽  
Boundary Effects ◽  
Point Interactions ◽  
Point Patterns ◽  
Spatial Point ◽  
Spatial Point Patterns ◽  
Markov Point Processes ◽  
Moment Measure ◽  
Reduced Second Moment Measure

Approximations are derived for some simple properties of a Strauss-type spatial point process with two types of point, on the assumption that the interactions between points are fairly weak and that boundary effects are negligible. In particular, expansions are obtained of the reduced second moment measure K ij used in the statistical analysis of spatial point patterns. It is found that these expansions may be useful in the estimation of the inter-point interactions and their ranges.

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