6 papers
On Bayesian wavelet shrinkage estimation of nonparametric regression models with stationary errors
Alex Rodrigo dos S. Sousa, Mauricio Zevallos
This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression mode…
Simulation studies to compare bayesian wavelet shrinkage methods in aggregated functional data
Alex Rodrigo dos Santos Sousa
The present work describes simulation studies to compare the performances of bayesian wavelet shrinkage methods in estimating component curves from aggregated functional data. To d…
Wavelet Shrinkage in Nonparametric Regression Models with Positive Noise
Alex Rodrigo dos Santos Sousa, Nancy Lopes Garcia
Wavelet shrinkage estimators are widely applied in several fields of science for denoising data in wavelet domain by reducing the magnitudes of empirical coefficients. In nonparame…
Kurtosis control in wavelet shrinkage with generalized secant hyperbolic prior
Alex Rodrigo dos Santos Sousa
The present paper proposes a bayesian approach for wavelet shrinkage with the use of a shrinkage prior based on the generalized secant hyperbolic distribution symmetric around zero…
Asymmetric prior in wavelet shrinkage
Alex Rodrigo dos Santos Sousa
In bayesian wavelet shrinkage, the already proposed priors to wavelet coefficients are assumed to be symmetric around zero. Although this assumption is reasonable in many applicati…
Bayesian Wavelet Shrinkage with Beta Priors
Alex Rodrigo dos Santos Sousa, Nancy Lopes Garcia, Branislav Vidakovic
In wavelet shrinkage and thresholding, most of the standard techniques do not consider information that wavelet coefficients might be bounded, although information about bounded en…