Weaving together Astronomy+Statistics+Computer Science+Engineering+Intrumentation, far beyond the growing borders . ... 2002, ApJ, 571, 545) , here is a formal expression for the Likelihood Ratio Test Statistic, . ... Tags: EotW , Equation , Equation of the Week , F-test , likelihood , likelihood ratio test , LRT , Protassov , Rostislav Protassov . ... Likelihood-ratio type tests are actually the basis of many common tests; for example, the one-sided Z test is equivalent to a likelihood ratio test. ...

... We demonstrate through numerical simulations that model parameters estimated with our technique are essentially bias-free, even when the average number of counts per bin is 1. ... The IW technique avoids such biases by estimating through successive iterations, where for each iteration, j, , and the best-fit parameters are determined by minimization of . ... In our sample, we find that the minimum values and best-fit parameters converge after about 6 iterations. ...

... ATNF Home . About ATNF . ... About ATNF overview . ... Australia Telescope Steering Committee . ... The Hб  I Column Density Distribution Function at z =0: the Connection to Damped Ly Statistics . ... We present a measurement of the Hб  I column density distribution function [ ] at the present epoch for column densities . These high column densities compare to those measured in damped Ly lines seen in absorption against background quasars. ... The Column Density Distribution Function . ...

We present ultraviolet, optical, near-infrared, Spitzer mid-infrared, and radio images of 14 radio-selected objects in M33. ... We have detected the majority of cluster candidates in M33 at all wavelengths. ... These results suggest that 11 of the 14 radio-selected objects are optically visible young star clusters with a surrounding H II region, that 2 are background objects, possibly active galactic nuclei (AGNs), and that 1 is a Wolf-Rayet star with a surrounding H II region. ...

... The distribution of redshifts among the DXRBS FSRQs identified so far (Figure 3) is quite similar to that of the 1 Jy and S4 samples. ... A more thorough comparison will have to await completion of our survey and the convolution of the redshift distribution with the WGACAT sky coverage. As has already been mentioned by Hook et al. (1996), selecting flat-spectrum sources is an efficient way of finding high-redshift, radio-loud quasars. ...

... Our resulting sample of ELGs presented in Tables 2 and 3 is not artificially biased to any specific type of galaxies. ... Since we are looking for selection of a sample of Case BCGs, it is interesting to examine how the detected BCGs are connected with Case emission-line codes. ... Altogether BCGs comprise about 60 % of all Case ELGs which display emission lines in our spectra, or about 44 % of all Case galaxies with some emission-line code. ... Among those with the code ``w'' about 40 % are BCGs. ...

... Let be a random deviate which follows a Poissonian probability distribution about the expectation value . Although the Poisson distribution itself is only defined for integer , one can find the following continuous `envelope function' to the Poisson values: . ... where is the gamma function . ... The expectation value of is . ... Equation 5 is used both in the present program and in boxdetect to estimate the null-hypothesis probability distribution of the weighted sum of Poissonian images. ...

... Chapter 14. ... Data consist of numbers, of course. ... In the following sections, you will repeatedly encounter the following paradigm: § apply some formula to the data to compute a statistic § compute where the value of that statistic falls in a probability distribution that is computed on the basis of some null hypothesis § if it falls in a very unlikely spot, way out on a tail of the distribution , conclude that the null hypothesis is false for your ... 609 610 Chapter 14. ...

... In brief: the frequency-dependent radiative transfer equation is solved for a dust under assumption of spherically-symmetric geometry for its distribution taking into account particle size distribution and quantum heating effects for the very small dust particles. ... Table: Model parameters for IRAS04296+3429. ... parameter . ... hot dust shell) . ... The best fit to the spectral energy distribution of IRAS04296 is shown by heavy solid line (see Table2 for details concerning parameters of the model...

Neptunes in the Noise: Improved Precision in Exoplanet Transit Detection AimИe Hall , Simon Hodgkin , Gabor Kovacs and Don Pollacco 1 1 1 1 2 Institute of Astronomy, University of Cambridge 2 Department of Physics, University of Warwick Figure 2 (right): Distribution of radii of all known exoplanets (grey), with those from Kepler (green) and SuperWASP (blue) also shown. We present early results from a new analysis of raw data taken with the SuperWASP telescope[1]. ...