15 citations · 47 across the 30 of their papers we have counts for
4 papers · 2 filters
On posterior distribution of Bayesian wavelet thresholding
Heng Lian
We investigate the posterior rate of convergence for wavelet shrinkage using a Bayesian approach in general Besov spaces. Instead of studying the Bayesian estimator related to a pa…
Cross Validation for Comparing Multiple Density Estimation Procedures
Heng Lian
We demonstrate the consistency of cross validation for comparing multiple density estimators using simple inequalities on the likelihood ratio. In nonparametric problems, the split…
On rates of convergence for posterior distributions under misspecification
Heng Lian
We extend the approach of Walker (2003, 2004) to the case of misspecified models. A sufficient condition for establishing rates of convergence is given based on a key identity invo…
Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces
Heng Lian
An extension of reproducing kernel Hilbert space (RKHS) theory provides a new framework for modeling functional regression models with functional responses. The approach only presu…