Scott's Rule for Bandwidth Selection for Kernel Density

Description

Use Scott's rule of thumb to determine the smoothing bandwidth for the kernel estimation of point process intensity.

Usage

   bw.scott(X)

Arguments

Details

This function selects a bandwidth sigma for the kernel estimator of point process intensity computed by density.ppp.

The bandwidth σ is computed by the rule of thumb of Scott (1992, page 152). It is very fast to compute.

This rule is designed for density estimation, and typically produces a larger bandwidth than bw.diggle. It is useful for estimating gradual trend.

Value

A numerical vector of two elements giving the selected bandwidths in the x and y directions.

Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au

and Rolf Turner r.turner@auckland.ac.nz

References

Scott, D.W. (1992) Multivariate Density Estimation. Theory, Practice and Visualization. New York: Wiley.

See Also

density.ppp, bw.diggle, bw.ppl, bw.frac.

Examples

  data(lansing)
  attach(split(lansing))
  b <- bw.scott(hickory)
  b
  
   plot(density(hickory, b))