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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
Patterns of Several Types of Points 601
This is not related to the functions G
i j
(r) in a simple way. The corresponding version of the J-
function is
J
i
(r) =
1 G
i
1 F(r)
. (14.49)
Under the null hyp othesis of inde pendent components (MPP4) ,
G
i
(r) = 1 (1 G
ii
(r))
j6=i
(1 F
j
(r)) (14.50)
J
i
(r) = J
ii
(r). (14.51)
Under completely random labelling (MPP2), a typical point of type i is just a typical point of X
()
,
so that
G
i
(r) = G
••
(r) (14.52)
J
i
(r) = J
••
(r), (14.53)
the G- and J-func tions of the unmarked process X
()
.
The functions G
i
(r) and J
i
(r) are computed by Gdot and Jdot, respectively. The command
alltypes can be used with them, and produces ...
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Publisher Resources

ISBN: 9781482210217