KinhomAverage {lgcp}

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