# integral.msr

0th

Percentile

##### Integral of a Measure

Computes the integral (total value) of a measure over its domain.

Keywords
spatial, math
##### Usage
# S3 method for msr
integral(f, domain=NULL, …)
##### Arguments
f

A signed measure or vector-valued measure (object of class "msr").

domain

Optional window specifying the domain of integration. Alternatively a tessellation.

Ignored.

##### Details

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.

##### Value

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).

msr, integral

• integral.msr
##### Examples
# NOT RUN {
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)
# }

Documentation reproduced from package spatstat, version 1.57-1, License: GPL (>= 2)

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