lgcp (version 1.3-8)

KinhomAverage: KinhomAverage function

Description

A function to estimate the inhomogeneous K function for a spatiotemporal point process. The method of computation is similar to ginhomAverage, see eq (8) Diggle P, Rowlingson B, Su T (2005) to see how this is computed.

Usage

KinhomAverage(xyt, spatial.intensity, temporal.intensity,
  time.window = xyt$tlim, rvals = NULL, correction = "iso",
  suppresswarnings = FALSE)

Arguments

xyt

an object of class stppp

spatial.intensity

A spatialAtRisk object

temporal.intensity

A temporalAtRisk object

time.window

time interval contained in the interval xyt$tlim over which to compute average. Useful if there is a lot of data over a lot of time points.

rvals

Vector of values for the argument r at which the inhmogeneous K function should be evaluated (see ?Kinhom). There is a sensible default.

correction

choice of edge correction to use, see ?Kinhom, default is Ripley isotropic correction

suppresswarnings

Whether or not to suppress warnings generated by Kinhom

Value

• time average of inhomogenous K function.

References

1. Benjamin M. Taylor, Tilman M. Davies, Barry S. Rowlingson, Peter J. Diggle (2013). Journal of Statistical Software, 52(4), 1-40. URL http://www.jstatsoft.org/v52/i04/
2. Baddeley AJ, Moller J, Waagepetersen R (2000). Non-and semi-parametric estimation of interaction in inhomogeneous point patterns. Statistica Neerlandica, 54, 329-350.
3. Brix A, Diggle PJ (2001). Spatiotemporal Prediction for log-Gaussian Cox processes. Journal of the Royal Statistical Society, Series B, 63(4), 823-841.
4. Diggle P, Rowlingson B, Su T (2005). Point Process Methodology for On-line Spatio-temporal Disease Surveillance. Environmetrics, 16(5), 423-434.

See Also

ginhomAverage, spatialparsEst, thetaEst, lambdaEst, muEst