103 citations · 319 across the 20 of their papers we have counts for
3 papers · 1 filter
On Bayesian "testimation" and its application to wavelet thresholding
Felix Abramovich, Vadim Grinshtein, Athanasia Petsa +1
We consider the problem of estimating the unknown response function in the Gaussian white noise model. We first utilize the recently developed Bayesian maximum a posteriori "testim…
Moment properties of multivariate infinitely divisible laws and criteria for self-decomposability
Theofanis Sapatinas, Damodar N. Shanbhag
Ramachandran (1969, Theorem 8) has shown that for any univariate infinitely divisible distribution and any positive real number , an absolute moment of order relative to the…
On convergence rates equivalency and sampling strategies in functional deconvolution models
Marianna Pensky, Theofanis Sapatinas
Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a…