surveillance (version 1.12.1)

zetaweights: Power-Law Weights According to Neighbourhood Order

Description

Compute power-law weights with decay parameter d based on a matrix of neighbourhood orders nbmat (e.g., as obtained via nbOrder). Without normalization and truncation, this is just $o^{-d}$ (where $o$ is a neighbourhood order). This function is mainly used internally for W_powerlaw weights in hhh4 models.

Usage

zetaweights(nbmat, d = 1, maxlag = max(nbmat), normalize = FALSE)

Arguments

nbmat
numeric, symmetric matrix of neighbourhood orders.
d
single numeric decay parameter (default: 1). Should be positive.
maxlag
single numeric specifying an upper limit for the power law. For neighbourhood orders > maxlag, the resulting weight is 0. Defaults to no truncation.
normalize
Should the resulting weight matrix be normalized such that rows sum to 1?

Value

  • a numeric matrix with same dimensions and names as the input matrix.

See Also

W_powerlaw

Examples

Run this code
nbmat <- matrix(c(0,1,2,2,
                  1,0,1,1,
                  2,1,0,2,
                  2,1,2,0), 4, 4, byrow=TRUE)
zetaweights(nbmat, d=1, normalize=FALSE) # harmonic: o^-1
zetaweights(nbmat, d=1, normalize=TRUE)  # rowSums=1
zetaweights(nbmat, maxlag=1, normalize=FALSE) # results in adjacency matrix

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