coefmatrix: Computation of Coefficients of SBF and SW

Description Usage Arguments Details Value References See Also

Description

This function generates several coefficients such as coefficients of SBF in spherical wavelets (SW), coefficients of SBF after removing subnet l, and coefficients of SW for subnet l.

Usage

1
coefmatrix(beta1, fullcov, netlab, l)

Arguments

beta1

coefficients of SBF from previous SBF representation

fullcov

covariance matrix of all observation sites

netlab

vector of labels representing sub-networks

l

resolution level

Details

The multiresolution analysis based on SBF is derived from the problem of characterizing the loss in an SBF representation as the number of observations are more larger. This function provides the coefficients of basis functions of multiresolution levels. For details, see references below.

Value

wcoef

coefficients of SBF in SW

beta2

coefficients of SBF after removing sub-network l

gamma1

coefficients of SW for sub-network l

alpha1

detailed coefficients of SBF for sub-network l

norm

norms of SW for sub-network l

References

Oh, H-S. (1999) Spherical wavelets and their statistical analysis with applications to meteorological data. Ph.D. Thesis, Department of Statistics, Texas A\&M University, College Station.

Li, T-H. (1999) Multiscale representation and analysis of spherical data by spherical wavelets. SIAM Journal on Scientific Computing, 21, 924–953.

Oh, H-S. and Li, T-H. (2004) Estimation of global temperature fields from scattered observations by a spherical-wavelet-based spatially adaptive method. Journal of the Royal Statistical Society Ser. B, 66, 221–238.

See Also

mracoef.comp


SpherWave documentation built on April 14, 2017, 1:28 p.m.