A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians

We give a simple probabilistic description of a transition between two states which leads to a generalized escort distribution. When the parameter of the distribution varies, it defines a parametric curve that we call an escort-path. The R\'enyi divergence appears as a natural by-product of the setting. We study the dynamics of the Fisher information on this path, and show in particular that the thermodynamic divergence is proportional to Jeffreys' divergence. Next, we consider the problem of inferring a distribution on the escort-path, subject to generalized moments constraints. We show that our setting naturally induces a rationale for the minimization of the R\'enyi information divergence. Then, we derive the optimum distribution as a generalized q-Gaussian distribution

Bayesian Bounds on Parameter Estimation Accuracy for Compact Coalescing Binary Gravitational Wave Signals

A global network of laser interferometric gravitational wave detectors is projected to be in operation by around the turn of the century. Here, the noisy output of a single instrument is examined. A gravitational wave is assumed to have been detected in the data and we deal with the subsequent problem of parameter estimation. Specifically, we investigate theoretical lower bounds on the minimum mean-square errors associated with measuring the parameters of the inspiral waveform generated by an orbiting system of neutron stars/black holes. Three theoretical lower bounds on parameter estimation accuracy are considered: the Cramer-Rao bound (CRB); the Weiss-Weinstein bound (WWB); and the Ziv-Zakai bound (ZZB). We obtain the WWB and ZZB for the Newtonian-form of the coalescing binary waveform, and compare them with published CRB and numerical Monte-Carlo results. At large SNR, we find that the theoretical bounds are all identical and are attained by the Monte-Carlo results. As SNR gradually drops below 10, the WWB and ZZB are both found to provide increasingly tighter lower bounds than the CRB. However, at these levels of moderate SNR, there is a significant departure between all the bounds and the numerical Monte-Carlo results.Comment: 17 pages (LaTeX), 4 figures. Submitted to Physical Review

Mongolian spot with involvement of the frontal area

Mongolian spots are congenital hyperpigmented macules of varying size and shape and are usually grayish in color. They occurcommonly in the sacrococcygeal area, followed by the gluteal and lumbar areas. We report a Chinese infant with a Mongolian spotin the frontal area; the occurrence of a Mongolian spot in this location is considered exceptional. Awareness of such an occurrence isimportant, and hence that a false accusation of child abuse is not made

Physiological Striae Atrophicae of Adolescence with Involvement of the Axillae and Proximal Arms

We report a 16-year-old adolescent male with multiple violaceous, atrophic, vertical linear striae isolated to the axillae and proximal arms of approximately one-year duration. In the past two years, he indulged in heavy weight-lifting. He experienced a growth spurt over the past few years. The patient was otherwise in good health and was not on any medications. Physiological striae atrophicae of adolescence where the striae were restricted to the axillae and proximal arms have very rarely been reported

Low-Temperature Atmospheric Pressure Plasma Processes for “Green” Third Generation Photovoltaics

Special Issue: Plasma Processing of Materials for Energy Conversion and Storage.International audienceAtmospheric pressure plasmas (APPs) have achieved great scientific and technological advances for a wide range of applications. The synthesis and treatment of materials by APPs have always attracted great attention due to potential economic benefits if compared to low-pressure plasma processes. Nonetheless, APPs present very distinctive features that suggest atmospheric pressure operation could bring other benefits for emerging new technologies. In particular, materials synthesized by APPs which are suitable candidates for third generation photovoltaics are reviewed here