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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
484 Spatial Point Patterns: Methodology and Applications with R
the empirical curve
b
K(r), rather than exactly matching it. In the present co ntext, D is called the con-
trast between the two curves; estimating ψ by minimising D is the method of minimum contrast.
Taking a finely spaced sequence of distances would effectively replace the sum (12.29) by the
integral
D(ψ) =
Z
b
a
(K
ψ
(r)
b
K(r))
2
dr (12.30)
where a and b are the limits of the range of distances considere d. This measures the separation
between the two curves K
ψ
(r) an d
b
K(r) over the distance inter val [a, b]. The squared error in
(12.29)–(12.30) could be replaced by the absolute error
D(ψ) =
Z
b
a
K
ψ
(r)
b
K(r)
dr
which is the total area between the two curves. We could also pre-transform the ...
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Publisher Resources

ISBN: 9781482210217