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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
734 Spatial Point Patterns: Methodology and Applications with R
where
κ
(·) is a smoothing kernel on the real line. Standar d techniques for one-dimensional kernel
smoothing [687] can be u sed.
We call ( 17.10) the geometrica lly corrected function because the de nominator m(x
i
,d
L
(x
i
,x
j
))
adjusts for the geometry of the network . As usual, we nee d to avoid situations where the w e ight
factor m(x
i
,d
L
(x
i
,x
j
)) is zero. It is shown in [19] that the estimator (17.10) is valid f or all r
R, whe re R is the largest value such that m(u,r) 6= 0 for all locations u and all r R. If L is a
connected networ k, then R = min
uL
max
vL
d
L
(u,v) is th e radius of ...
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Publisher Resources

ISBN: 9781482210217