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Spatial Point Patterns
book

Spatial Point Patterns

by Adrian Baddeley, Ege Rubak, Rolf Turner
November 2015
Intermediate to advanced content levelIntermediate to advanced
828 pages
33h 11m
English
Chapman and Hall/CRC
Content preview from Spatial Point Patterns
Gibbs Mo dels 517
core. These parameters ca n be estimated immediately from data. The max imum likelihood estima-
tor of the hard core distance [58 1] is the minimum nearest-neighbourdistance d
min
= min
i
min
j6=i
d
i j
.
In spatstat we use th e modified estimator h
= (n(x)/(n (x)+ 1))d
min
which has smaller bias and
avoids computational problems. If the user calls the f unction Hardcore without specifying the hard
core diameter h, then h will be estimated by calculating h
for the point pattern data, and the model-
fitting will proceed with that value. Thus, the user has th e option to fit the har d core model with
an automatically estimated hard core radius
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Publisher Resources

ISBN: 9781482210217