sbf.comp: 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 $1, \ldots, L$,
resolution levels $p0+1, \ldots, L$ will be included for extrapolation.
Value
aaa multiscale SBF field on observation's locations
bbdensity on observation's locations
Details
For a given field, this function provides a multiscale SBF representation
$$T(x)=\sum_{l}\sum_{j}\beta_{l,j}G_{l}(x \cdot x_j),$$
where $G_{l}(\cdot)$ denotes a SBF with bandwidth $h_l$ at multiresolution level $l$.
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.