Skip to Main Content
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
416 Spatial Point Patterns: Methodology and Applications with R
49–50], [55]. Here w e present the simplest case, of residuals for a Poisson point process. Residuals
for Gibbs models are presented in Chapter 13.
A re sid ual is obtained by subtracting the fitted mean from the observed values. For a sp a tial point
process, the ‘mean’ is the intensity function , while the ‘ob served values’ are (naively spea king) the
data points of the point pattern. How can these be subtrac ted from each other?
For a fitted Poisson process model, w ith fitted intensity
b
λ
(u), the predicted number of points
falling in any region B is
R
B
b
λ
(u)du. The point process residual [55] for the region B is defined to
be the observed minus expected number of points falling in B:
R
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Visualization Analysis and Design

Visualization Analysis and Design

Tamara Munzner
R in Action, Third Edition

R in Action, Third Edition

Robert I. Kabacoff

Publisher Resources

ISBN: 9781482210217