eta.comp: Calculation of Bandwidth Parameters of Poisson Kernel/SBF's

In SpherWave: Spherical Wavelets and SW-based Spatially Adaptive Methods

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

Details

The bandwidths h_l of SBF's are chosen as follows

h_{L-1} = e^{-ρ_l}, l = 1, 2,…, L-1,

where ρ_l = ρ^{*} / 2^l. The ρ^* is obtained from the bandwidth of the coarsest network level L, h_L, that is

ρ^* = -\log h_L.

Note that h_L is obtained from the function bandwidth.

Value

eta	bandwidth parameters for Poisson kernel/SBF's

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.

See Also

bandwidth

Examples

eta.comp(5)

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