haarfisz (version 4.5.4)

haarfisz-package: A Haar-Fisz Algorithm for Poisson Intensity Estimation.

Description

Package to denoise Poisson distributed sequence where underlying intensity is not constant. Uses the multiscale variance-stabilization method called the Haar-Fisz transform. Contains functions to carry out the foward and inverse Haar-Fisz transform and denoising on near-Gaussian sequences. Can also carry out cycle-spinning.

Author

Piotr Fryzlewicz>

Details

Package to denoise Poisson distributed sequence where underlying intensity is not constant. Uses the multiscale variance-stabilization method called the Haar-Fisz transform. Contains functions to carry out the foward and inverse Haar-Fisz transform and denoising on near-Gaussian sequences. Can also carry out cycle-spinning. See main routine denoise.poisson

References

Fryzlewicz, P. (2003) Wavelet Techniques for Time Series and Poisson Data. PhD Thesis, University of Bristol, Bristol, UK https://www.ma.imperial.ac.uk/~gnason/Research/MAPZFthesis.ps.gz

Fryzlewicz, P. and Nason, G.P. (2004) A Haar-Fisz algorithm for Poisson intensity estimation. Journal of Computational and Graphical Statistics, 13, 621-638. tools:::Rd_expr_doi("10.1198/106186004X2697")

Nason, G.P. (2008) Wavelet Methods in Statistics with R. Springer: New York (Section 6.4) tools:::Rd_expr_doi("10.1007/978-0-387-75961-6")

See Also

denoise.poisson, hft, hft.inv

Examples

#
#
# Main Poisson denoising function is denoise.poisson
#
# Forward Haar-Fisz transform is hft
#
# Inverse Haar-Fisz transform is hft.inv