R: Discrete and Continuous Components of a Measure

measureContinuous {spatstat} | R Documentation

## Discrete and Continuous Components of a Measure

### Description

Given a measure `A` (object of class `"msr"`) these functions find the discrete and continuous parts of `A`.

### Usage

    measureDiscrete(x)
    measureContinuous(x)

### Arguments

`x` | A measure (object of class `"msr"`).

### Details

The functions `measureDiscrete` and `measureContinuous` return the discrete and continuous components, respectively, of a measure.

If `x` is a measure, then `measureDiscrete(x)` is a measure consisting only of the discrete (atomic) component of `x`, and `measureContinuous(x)` is a measure consisting only of the continuous (diffuse) component of `x`.

### Value

Another measure (object of class `"msr"`) on the same spatial domain.

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au.

### References

Halmos, P.R. (1950) Measure Theory. Van Nostrand.

### See Also

`msr`, `with.msr`, `split.msr`, `measurePositive`

### Examples

       X <- rpoispp(function(x,y) { exp(3+3*x) })
       fit <- ppm(X, ~x+y)
       rp <- residuals(fit, type="pearson")

       rp
       measureDiscrete(rp)
       measureContinuous(rp)

[Package spatstat version 1.63-3 Index]