eta.comp: Calculation of Bandwidth Parameters of Poisson Kernel/SBF's
Description
This function calculates bandwidth parameters of SBF's induced by Poisson Kernel.
Usage
eta.comp(netlab)
Arguments
netlab
the index vector of network level
Value
eta
bandwidth parameters for Poisson kernel/SBF's
Details
The bandwidths $h_l$ of SBF's are chosen as follows
$$
h_{L-1}=e^{-\rho_l},\quad l=1,2,\ldots,L-1,
$$
where $\rho_l = \rho^{*} / 2^l$. The $\rho^*$ is obtained from the bandwidth of the
coarsest network level $L$, $h_L$, that is
$$
\rho^*=-\log h_L.
$$
Note that $h_L$ is obtained from the function bandwidth.
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.