This paper proposes two new weighting schemes that average forecasts using different estimation windows to account for structural change. We let the weights reflect the probability of each time point being the most-recent break point, and we use the reversed ordered Cusum test statistics to capture this intuition. The second weighting method simply imposes heavier weights on those forecasts tha...

X-ray emission from the Sun Ñuctuates as a result of occasional Ñare events. We have calculated the power spectra of the solar soft X-ray variations using the photometric data of the GOES 6 satellite. The data cover the period 1991 September to 1994 April, about 32 months in total, and we have worked with 10 minute averages. We Ðnd that the total power spectral densities (PSDs) have three disti...

Point spread function (PSF) engineering of the emitter can code higher spatial frequency information an image to break diffraction limit but suffer from complexed optical systems. Here we present a robust strategy simultaneously achieve diverse PSFs upconversion nanoparticles under single doughnut-shape scanning beam. By saturating four-photon state, high-frequency be extracted through doughnut...

If the observed superluminal quantum correlations are disturbed by turbulent fluctuations of the zero point vacuum energy field, with the turbulent energy spectrum assumed to obey the universal Kolmogoroff law, a length is derived above which the correlations are conjectured to break. A directional dependence of this length would establish a preferred reference system at rest with the zero poin...

We prove the weak consistency of the posterior distribution and that of the Bayes estimator for a two-phase piecewise linear regression mdoel where the break-point is unknown. The non-differentiability of the likelihood of the model with regard to the break-point parameter induces technical difficulties that we overcome by creating a regularised version of the problem at hand. We first recover ...