sbf.comp {SpherWave}R Documentation

Calculation of Field and Density with Multi-sale SBF's

Description

This function calculates field and density with Multi-sale SBF's.

Usage

sbf.comp(point1, point2, site1, site2, coef, netlab, eta, p0)  

Arguments

point1 latitude of extrapolation sites in radian
point2 longitude of extrapolation sites in radian
site1 latitude of observation sites in radian
site2 longitude of observation sites in radian
coef coefficients of multi-scale SBF's
netlab vector of labels representing sub-networks
eta bandwidth parameters for Poisson kernel
p0 specifies starting level for extrapolation. Among resolution levels 1, ..., L, resolution levels p0+1, ..., L will be included for extrapolation.

Details

For a given field, this function provides a multiscale SBF representation

T(x) = sum_{l} sum_{j} β_{l,j} G_{l}(<x, x_j>),

where G_{l}() denotes a SBF with bandwidth h_l at multiresolution level l.

Value

aa a multiscale SBF field on observation's locations
bb density on observation's locations

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

msbf.comp.


[Package SpherWave version 1.1.0 Index]