The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. First, we show that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for ...

Audio mixing greatly degrades the watermarking security. Consequently, it is of importance to introduce mixing-attack-proof audio watermarking algorithms. This article investigates audio mixing attack. A randomized embedding spread spectrum audio watermarking algorithm is accordingly proposed to improve the watermark immunity to mixing attacks. First, balanced modulation is introduced to get ri...

Two-wave and four-wave mixing in photorefractive media with saturable gain and saturable absorption is analyzed. Solutions to wave equations are found in terms of quadratures and implicitly given functions. Different models of saturation are compared. It is found that for weak couplings energy transfer between waves is less effective in the strong unsaturated regime as compared to the saturated...

We address the effects of the new physics predicted by the SU(3)L×U(1)X model on the precision electroweak measurements. We consider both Z–Z ′ mixing and one-loop oblique corrections, using a combination of neutral gauge boson mixing parameters and the parameters S and T . At tree level, we obtain strong limits on the Z–Z ′ mixing angle, −0.0006 < θ < 0.0042 and find MZ2 > 490GeV (both at 90% ...

We present world average values for D-D mixing parameters x and y, CP violation parameters |q/p| and Arg(q/p), and strong phase differences δ and δKππ . These values are calculated by the Heavy Flavor Averaging Group (HFAG) by performing a global fit to relevant experimental measurements. The results for x and y differ significantly from zero and are inconsistent with no mixing at the level of ...

Charge independence and symmetry are approximate symmetries of nature. The observations of the small symmetry breaking effects and the consequences of those effects are reviewed. The effects of the mass difference between up and down quarks and the off shell dependence q 2 of ρ 0-ω mixing are stressed. In particular, I argue that models which predict a strong q 2 dependence of ρ 0-ω mixing seem...