Mixed interpolating–smoothing splines and the ν-spline

On Mixed Interpolating-Smoothing Splines and the ν-Spline

Andreas Bloechl: Penalized Splines, Mixed Models and the Wiener-kolmogorov Filter Penalized Splines, Mixed Models and the Wiener-kolmogorov Filter

Penalized splines are widespread tools for the estimation of trend and cycle, since they allow a data driven estimation of the penalization parameter by the incorporation into a linear mixed model. Based on the equivalence of penalized splines and the Hodrick-Prescott filter, this paper connects the mixed model framework of penalized splines to the WienerKolmogorov filter. In the case that tren...

Algorithms on cone spline surfaces and spatial osculating arc splines

Developable surfaces are of considerable importance to many industry applications, e.g. sheet metal forming processes. The objective of this paper is to provide algorithms on the approximation of developable surfaces with pieces of right circular cones. Special emphasis is devoted to practical choices of free parameters and to error estimation. Furthermore, a new algorithm for the approximation...

Cardinal interpolation and spline functions VIII. The Budan–Fourier Theorem for splines and applications

The present paper is the reference [8] in the monograph [15], which was planned but not yet written when [15] appeared. The paper is divided into four parts called A, B, C, and D. We aim here at three or four different results. The unifying link between them is that they all involve the sign structure of what one might call a “Green’s spline”, i.e., a function which consists of two null–splines...

Large ν μ → ν τ and ν e → ν τ transitions in short - baseline experiments ?

Considering four-neutrino schemes of type 3+1, we identify four small regions of the neutrino mixing parameter space compatible with all data. Assuming a small mixing between the sterile neutrino and the isolated mass eigenstate we show that large νμ → ντ and νe → ντ transitions are predicted in short-baseline experiments and could be observed in the near future in dedicated experiments. We dis...