Integral of a Measure
Computes the integral (total value) of a measure over its domain.
## S3 method for class 'msr' integral(f, domain=NULL, ...)
f |
A signed measure or vector-valued measure (object of class
|
domain |
Optional window specifying the domain of integration. Alternatively a tessellation. |
... |
Ignored. |
The integral (total value of the measure over its domain) is calculated.
If domain is a window (class "owin") then the integration
will be restricted to this window. If domain is a tessellation
(class "tess") then the integral of f in each
tile of domain will be computed.
For a multitype measure m, use split.msr
to separate the contributions for each type of point,
as shown in the Examples.
A numeric value, vector, or matrix.
integral(f) returns a numeric value (for a signed measure)
or a vector of values (for a vector-valued measure).
If domain is a tessellation then integral(f, domain)
returns a numeric vector with one entry for each tile
(if f is a signed measure)
or a numeric matrix with one row for each tile
(if f is a vector-valued measure).
Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Rolf Turner r.turner@auckland.ac.nz and Ege Rubak rubak@math.aau.dk.
fit <- ppm(cells ~ x) rr <- residuals(fit) integral(rr) # vector-valued measure rs <- residuals(fit, type="score") integral(rs) # multitype fitA <- ppm(amacrine ~ x) rrA <- residuals(fitA) sapply(split(rrA), integral) # multitype and vector-valued rsA <- residuals(fitA, type="score") sapply(split(rsA), integral) ## integral over a subregion integral(rr, domain=square(0.5)) ## integrals over the tiles of a tessellation integral(rr, domain=quadrats(cells, 2))
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