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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
204 Spatial Point Patterns: Methodology and Applications with R
The con tribution from each data point x
i
to the sum in (7.2 ) is
t
i
(r) =
j6=i
1
d
i j
r
,
the number of other data points x
j
which lie closer than a distance r. We might call this the number
of r-neighbours for the point x
i
. Equivalently t
i
(r) is the number of data points which fall inside a
circle of radius r centred at x
i
, not counting x
i
itself. Then
b
H(r) =
1
n(n 1)
n
i=1
t
i
(r) =
1
n 1
t(r)
where
t(r) = (1/n)
i
t
i
(r) is the average number of r-neighbours per data point.
2
6
3
3
4
0
Figure 7.5. Counting r-neighbou rs. In
each circle, the numeral shows the value
of t
i
(r) for the data point x
i
at the cen ...
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Publisher Resources

ISBN: 9781482210217