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spatstat.explore (version 3.2-7)

bw.abram: Abramson's Adaptive Bandwidths

Description

Computes adaptive smoothing bandwidths according to the inverse-square-root rule of Abramson (1982).

Usage

bw.abram(X, h0, ...)

Value

See the documentation for the particular method.

Arguments

X

Data to be smoothed.

h0

Global smoothing bandwidth. A numeric value.

...

Additional arguments passed to methods.

Author

Adrian Baddeley Adrian.Baddeley@curtin.edu.au.

Details

This function computes adaptive smoothing bandwidths for a dataset, using the methods of Abramson (1982) and Hall and Marron (1988).

The function bw.abram is generic. There is a method bw.abram.ppp for spatial point patterns (objects of class "ppp"), and possibly other methods.

References

Abramson, I. (1982) On bandwidth variation in kernel estimates --- a square root law. Annals of Statistics, 10(4), 1217-1223.

Hall, P. and Marron, J.S. (1988) Variable window width kernel density estimates of probability densities. Probability Theory and Related Fields, 80, 37-49.

Silverman, B.W. (1986) Density Estimation for Statistics and Data Analysis. Chapman and Hall, New York.

See Also

bw.abram.ppp