Magnetization measurements of Fe<Subscript>3</Subscript>O<Subscript>4</Subscript> nanoparticles have been performed by using a nanosized superconducting quantum interference device (nanoSQUID). The nanosensor consists of a niobium loop having an area of 0.5 μm<Superscript>2</Superscript> interrupted by two Dayem nanobridges. The device fabrication procedure is...</superscript></subscript></subscript>

We investigate the asymptotic optimality of several Bayesian wavelet estimators, namely, posterior mean, posterior median and Bayes Factor, where the prior imposed on wavelet coefficients is a mixture of a mass function at zero and a Gaussian density. We show that in terms of the mean squared...

The problem of smoothing data trough a transform in the Fourier domain is analyzed in the case of correlated noise affecting data. A regularization method and two GCV-type criteria are resorted in order to solve the problem, in analogy with the case of uncorrelated noise. All convergence...

Wavelet and Fourier regularization methods are effective for the nonparametric regression problem. We prove that the loss function evaluated for the regularization parameter chosen through GCV or Mallows criteria is asymptotically equivalent in probability to its minimum over the regularization...