The independent additive errors linear model consists of a structure for the mean and a separate structure for the error distribution. The error structure may be parametric or it may be semiparametric. Under alternative values of the mean structure, the best fitting additive errors model has an error distribution which can be represented as the convolution of the actual error distribution and t...

We analyze pattern formation in doubly resonant second-harmonic generation in the presence of a competing parametric process, also named the internally pumped optical parametric oscillator. Different scenarios are established where either the upor down-conversion processes dominate the spatiotemporal behavior. The possibility of obtaining exact solutions above threshold for the parametric oscil...

We analyze optical parametric interactions in nonlinear magneto-optical media simultaneously possessing a second-order nonlinearity and a spatial modulation of its linear optical properties. An analytic solution for the conversion efficiency of energy transfer from an optical pump to a signal wave is presented, and we discuss the possibility of tunability that is added to the parametric process.

We describe theoretically a method of obtaining pulse compression and simultaneously improving amplification in a degenerate optical parametric amplifier by use of quasi-phase-matched engineered crystals. The scheme combines the possibility of increasing the signal spectral bandwidth that is offered by a degenerate parametric amplifier with the ability of engineered aperiodically poled crystals...

The possibility of compensating losses in negative-index metatamterials doped by resonant four-level centers is shown based on quantum interference and extraordinary properties of parametric amplification of counterpropagating electromagnetic waves. ©2007 Optical Society of America OCIS codes: (1904410) Nonlinear optics, parametric processes, (270.1670) Coherent optical effects

The set of all phylogenetic trees for a fixed set of species forms a geodesic metric space known as Billera-Holmes-Vogtmann tree-space. In order to analyse samples of phylogenetic trees it is desirable to construct parametric distributions on this space, but this task is very challenging. One way to construct such distributions is to consider particles undergoing Brownian motion in tree-space f...

Visible light photon counters feature noise-free avalanche multiplication and narrow pulse height distribution for single photon detection events. Such a well-defined pulse height distribution for a single photon detection event, combined with the fact that the avalanche multiplication is confined to a small area of the whole detector, opens up the possibility for the simultaneous detection of ...

‎consider an estimation problem in a one-parameter non-regular distribution when both endpoints of the support depend on a single parameter‎. ‎in this paper‎, ‎we give sufficient conditions for a generalized bayes estimator of a parametric function to be admissible‎. ‎some examples are given‎. ‎