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splancs (version 2.01-9)

kernrat: Ratio of two kernel smoothings

Description

Return the ratio of two kernel smoothings

Usage

kernrat(pts1,pts2,poly,h1,h2,nx=20,ny=20,kernel='quartic')

Arguments

pts1,pts2
Point data sets
poly
A polygon data set
h1,h2
The kernel width parameters, h1 for pts1, and h2 for pts2
nx
Number of points along the x-axis of the returned grid.
ny
Number of points along the y-axis of the returned grid.
kernel
Type of kernel function to use. Currently only the quartic kernel is implemented.

Value

  • A list with the following components:
  • xList of x-coordinates at which the kernel function has been evaluated.
  • yList of y-coordinates at which the kernel function has been evaluated.
  • zA matrix of dimension nx by ny containing the ratio of the kernel functions.
  • hA vector of length 2 containing h1 and h2
  • kernela character string containing the kernel name.

References

Berman M. and Diggle P.J. (1989) Estimating Weighted Integrals of the Second-Order Intensity of Spatial Point Patterns. J. R. Statist Soc B51 81-92; Rowlingson, B. and Diggle, P. 1993 Splancs: spatial point pattern analysis code in S-Plus. Computers and Geosciences, 19, 627-655; the original sources can be accessed at: http://www.maths.lancs.ac.uk/~rowlings/Splancs/. See also Bivand, R. and Gebhardt, A. 2000 Implementing functions for spatial statistical analysis using the R language. Journal of Geographical Systems, 2, 307-317.

See Also

kernel2d, mse2d