The relationship between speciation times and the corresponding times of gene divergence is of interest in phylogenetic inference as a means of understanding the past evolutionary dynamics of populations and of estimating the timing of speciation events. It has long been recognized that gene...

type="main" xml:id="jtsa12072-abs-0001"The problem of non-parametric spectral density estimation for discrete-time series in the presence of missing observations has a long history. In particular, the first consistent estimators of the spectral density have been developed at about the same time...

One of the common themes of the modern nonparametric functional estimation folklore is that the signal-in-white-noise model can serve as a prototype for nonparametric regression. In this note we give an example showing that it may not always be the case

The results of Hall et al. (1998, Ann. Statist. 26, 922-943) together with Efromovich (2000, Bernoulli) imply that a data-driven block shrinkage wavelet estimator, which mimics a sharp minimax linear oracle, is rate optimal over spatially inhomogeneous function spaces. This result does not...

A blockwise shrinkage is a popular adaptive procedure for non-parametric series estimates. It possesses an impressive range of asymptotic properties, and there is a vast pool of blocks and shrinkage procedures used. Traditionally these estimates are studied via upper bounds on their risks. This...