ginhomAverage {lgcp}

ginhomAverage function

Description

A function to estimate the inhomogeneous pair correlation function for a spatiotemporal point process. See equation (8) of Diggle P, Rowlingson B, Su T (2005).

Usage

ginhomAverage(
  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 g(r) should be evaluated (see ?pcfinhom). There is a sensible default.

correction

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

suppresswarnings

Whether or not to suppress warnings generated by pcfinhom

...

other parameters to be passed to pcfinhom, see ?pcfinhom

Value

time average of inhomogenous pcf, equation (13) of Brix and Diggle 2001.

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

KinhomAverage, spatialparsEst, thetaEst, lambdaEst, muEst