We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that the maximum likelihood estimator is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(−nd), 0 < d < 1, where n is the sample size.

The sensitivity of inertial confinement fusion implosions, of the type performed on the National Ignition Facility (NIF) [1], to low-mode flux asymmetries is investigated numerically. It is shown that large-amplitude, low-order mode shapes (Legendre polynomial P(4), resulting from low-order flux asymmetries, cause spatial variations in capsule and fuel momentum that prevent the deuterium and tr...

A real number α is said to be b-normal if every mlong string of digits appears in the base-b expansion of α with limiting frequency b−m. We prove that α is b-normal if and only if it possesses no base-b “hot spot.” In other words, α is b-normal if and only if there is no real number y such that smaller and smaller neighborhoods of y are visited by the successive shifts of the base-b expansion o...

The Canary archipelago comprises seven main volcanic islands and several islets that form a chain extending for ~ 500 km across the eastern Atlantic, between latitudes 27°N and 30°N, with its eastern edge only 100 km from the NW African coast (Figures 1 & 2). The Canary Islands developed in a geodynamic setting characterized by Jurassic oceanic lithosphere formed during the fi rst stage of open...

We present the first long-slit spectra of the Seyfert 2 galaxy NGC 1068 obtained by the Space Telescope Imaging Spectrograph (STIS); the spectra cover the wavelength range 1150 – 10,270 Å at a spatial resolution of 0.05 – 0.1 and a spectral resolving power of λ/∆λ ≈ 1000. In this first paper, we concentrate on the far-UV to near-IR continuum emission from the continuum “hot spot” and surroundin...

We study the temperature structure of the central part (r ≤ 18≃ 0.7h 50 Mpc) of the Coma cluster of galaxies using ASCA data. Two different analysis methods produce results in good agreement with each other and reveal the presence of interesting structures in the gas temperature distribution. Globally, the average temperature in the center of the cluster is 9.0±0.6 keV in good agreement with pr...

In this paper we present how to use an Unmanned Aerial System in remote sensing. The system is specifically designed for forest fire management, as a support tool for the Fire Services to improve their tactical decisions. The system payload includes two cameras: a thermal camera and a visual camera. A simple image processing algorithm is applied to the thermal images in order to detect hot area...