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

Share:

Description

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

Usage

1
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) = ∑_{l} ∑_{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.

Want to suggest features or report bugs for rdrr.io? Use the GitHub issue tracker.