... Tools . ... In order to generate random numbers that follow a normal distribution, one first needs to create two uniform random numbers $u_{1}$ and $u_{2}$, in the range of 0 to 1. ... begin{equation*} g_{1} = \sqrt{-2 \ln(u_{1})} \cos(2 \pi u_{2}) \end{equation*} . ... Random numbers following a power law, $P(x) \propto x^{n}$, can be generated from a single uniform random number, $u$, in the range of 0 to 1 through the following transform : . ...

... The numbers of three types of compact binaries containing accreting NSs and BHs, which are most interesting from the point of view of their observational appearances, have been calculated as a function of time: i) X-ray transient source containing a NS in an eccentric orbit around a main sequence Be-star (the observed prototype: A0535+26), ii) BH The evolution of the selected types of X-ray binaries during the first 10 million years after the starburst onset is presented in Fig. ...

... 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. ...

http://hea-www.harvard.edu/AstroStat/slog/2008/ tests -of- fit -for-the- poisson - distribution / Weaving together Astronomy+ Statistics +Computer Science+Engineering+Intrumentation, far beyond the growing borders Fri, 01 Jun 2012 18:47:52 +0000 hourly 1 http://wordpress.org/?v=3.4 http://hea-www.harvard.edu/AstroStat/slog/2008/ tests -of- fit -for-the- poisson - distribution /comment-page-1/#comment-267 ... Abstract: Improved №З2 statistics are defined for both Poisson and multinomial data sets. ...

... In order to obtain a quantitative estimate of the accuracy and reliability of our data reduction procedures and results, we have performed a data reduction pipeline based on the following steps: i) define a set of simulated HST-like images with synthetic globular cluster stellar distributions, which provide the ``true'' data for comparison; ii) convolve these images with appropriate assumptions of PSF and noise in order to construct simulated `` observed '' ... It contains 470 stars. b) ...

. XMM-Newton Science Analysis System . ssclib (ssclib-3.33.4) [xmmsas_20080701_1801-8.0.0] . Meta Index / Home Page . Module name: random_aux . Author: Ian Stewart (University of Leicester, ims@star.le.ac.uk) . XMM-Newton SOC/SSC -- 2008-07-01

... Moscow, Russia E-mail: krivosheev@iki.rssi.ru Notes: · · The Monte Carlo method (s) is also called the statistical test method An innumerable number of processes can be listed the outcome of which is not determined and has probabilistic nature, but these processes obey statistical laws, so to obtain the result we have to make multiple similar tests, i.e. to use the MC method Because probabilistic processes are widely spread in nature, the MC ...

... The degree of correlation between two parameters can visually be estimated by plotting them. Numerically this is expressed by the correlation coefficient : . ... When the correlation coefficient indicates a significant correlation, the functional relation is given by the regression line which is computed by least squares methods for normal distributions or maximum likelihood procedures (see Section ). ... Such transformation may also be used to make the variance of a variable homogenous. ...

... Each ferrule will be used to plug approximately 300 holes. We must be sure the ferrules will not wear excessively during use; 1 mil reduction in diameter of a ferrule is enough to reduce light throughput by approximately 1%. ... Stainless steel ferrules offer lower precision (which will lose us approximately 1/2 to 1% light compared to ceramic), but they are relatively inexpensive, readily available with the hole diameter we require, and immune to cracking. ... Hence the wear was not very deep. ...

... IPACMAN V2.5 Test Plan (or more) . ... Anyway, results given hereafter are related to one plaform only (the one mentioned on the top). ... specific testcases The following testcases correspond to the minimum set of tests to be run on every new IPACMAN release (alpha, beta, final, .. ... 1/ START IPACMAN . ... Expected result . ... Verify IP: select an IP on disk and run Reports>verify IP . ... IP Diff: select two IPs on disk, and run Reports>IP Diff and check manually the results: verify the . ...