# coverageprob: Estimate the coverage probability of a stationary RACS In lacunaritycovariance: Gliding Box Lacunarity and Other Metrics for 2D Random Closed Sets

 coverageprob R Documentation

## Estimate the coverage probability of a stationary RACS

### Description

Computes the proportion of the observation window that is foreground, which is the usual estimate for the coverage probability of a stationary RACS from a binary map.

### Usage

```coverageprob(xi, obswin = NULL)

coveragefrac(xi, obswin = NULL)

cp(xi, obswin = NULL)
```

### Arguments

 `xi` An observation of a RACS of interest as a full binary map (as an `im` object) or as the foreground set (as an `owin` object). In the latter case the observation window, `obswin`, must be supplied. `obswin` The window of observation (not necessarily rectangular) also as an `owin` object.

### Details

The coverage probability of a stationary RACS is the probability that an arbitrary point is covered by the RACS. Given a binary map, `xi`, of a realisation of stationary RACS Ξ in a window W, this function computes the fraction of W covered by foreground, which is an estimate of the coverage probability. See (Chiu et al., 2013, Section 6.4.2) for more details.

If `xi` is an `im` object then `xi` must be an image of 1s, 0s and NAs representing inside the set, outside the set and outside the observation window respectively. `coverageprob` will not accept a `obswin` argument if `xi` is an `im` object.

### Value

An estimate of the coverage probability

### Author(s)

Kassel Liam Hingee

### References

Chiu, S.N., Stoyan, D., Kendall, W.S. and Mecke, J. (2013) Stochastic Geometry and Its Applications, 3rd ed. Chichester, United Kingdom: John Wiley & Sons.

### Examples

```xi <- heather\$coarse
obswindow <- Frame(heather\$coarse)
cp <- coverageprob(xi, obswindow)
```

lacunaritycovariance documentation built on March 18, 2022, 5:20 p.m.