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Bayesian False Discovery Rate Wavelet Shrinkage: Theory and Applications
(Georgia Institute of Technology, 2005)
Statistical inference in the wavelet domain remains vibrant area of contemporary statistical research because desirable properties of wavelet representations and the need of scientific community to process, explore, and ...
Γ -Minimax Wavelet Shrinkage: A Robust Incorporation of Information about Energy of a Signal in Denoising Applications
(Georgia Institute of Technology, 2001)
In this paper we propose a method for wavelet- filtering of noisy signals when prior information about the energy of the signal of interest is available. Assuming the independence model, according to which the wavelet ...
Denoising Ozone Concentration Measurements with BAMS Filtering
(Georgia Institute of Technology, 2001)
We propose a method for filtering self-similar geophysical signals corrupted by an antoregressive noise using a combination of non-decimated wavelet transform and a Bayesian model. In the application part, we consider ...
Wavelet Bayesian Block Shrinkage via Mixtures of Normal-Inverse Gamma Priors
(Georgia Institute of Technology, 2001)
In this paper we propose a block shrinkage method in the wavelet domain for estimating an unknown function in the presence of Gaussian noise. This shrinkage utilizes an empirical Bayes, block-adaptive approach that accounts ...
Wavelet Functional ANOVA, Bayesian False Discovery Rate, and Longitudinal Measurements of Oxygen Pressure in Rats
(Georgia Institute of Technology, 2000)
Linear models can be functional in terms of independent or response variables or both. In functional ANOVA-type models often used to model longitudinal measurements and general time series, however, all components have a ...