... 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. ...

... Calculations of at least two runs with different values of a parameter are required in order to discover to what extent the results depend on the , if at all. ... In order to study how the final statistical distributions depend on the initial functions, the method of Green functions is used. ... Then we can restore any distribution on this parameter (with a certain accuracy) by summing the results for each interval with the appropriate weight. ...

... Within SAS, a tool is available to check the pile-up fraction in the pn data: epatplot . This tool compares the observed pattern distributions (derived from a pn calibrated and concatenated even list) with the calibrated models. ... The lower panel is the key element for the evaluation of the pile-up fraction: it shows the observed distribution of pattern as a function of energy (PI channel in Analog-Digital Units ), using the same color code. ... Pages maintained by SAS librarian . ...

... Posts tagged ?Pareto distribution? ... Posted by hlee . ... Tags: Classification , covariance , FARIMA , Fisher information , GL , GRB , Levy , light curve , limb darkening , ML , Pareto distribution , quasars , solar flare , standard candle , tessellation , time series , VO , void . ... 1 Comment . ... ArXiv] Pareto Distribution? ... 4 Comments . ... From arxiv/astro-ph, arXiv:0706.2590v1 Extreme Value Theory and the Solar Cycle by Ramos, A. This paper might drag a large attention from CHASC...

... St Petersburg 23, September 2014 1 Motivation · Origin of Martian moons? ... Considered error sources: ­ Phobos a priori ephemerides; ­ Phobos a priori GM value; ­ measurements noise; ­ different strategies; · Methods: ­ real data analysis; ­ simulations. ... St Petersburg 23, September 2014 8 Simulations: sensitivity of the measurements to the a priori GM value Simulations: zero noise+ IMCCE a priori ephemerides +GMPH = 7.16 * 105 m3/sec2. ... St Petersburg 23, September 2014 14 Thank you! ...

Distribution of the analyzed SEPs with different >100 MeV proton fluxes ( J 100 ) at the microwave flux density plane ' S 9 vs. ... 1) General correspondence takes place between intensities of microwave bursts and proton fluxes - J 100 increases when S 9 and S 15 rise. ... 3) Powerful microwave bursts ( S 9 , S 15 >3000-10000 sfu ) with hard radio spectra ( S 9 < S 15 ) correspond to majority of powerful proton fluxes ( J 100 >10 pfu ). ...

... 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. ...

A Test of Galaxy Evolutionary Models Via Angular Sizes M. Im S. Casertano, R. E. Griffiths, & K. U. Ratnatunga (The Johns Hopkins University) The relationship between angular size, magnitude, and redshift of faint galaxies is explored as a potential tool to distinguish between different galaxy evolutionary models. ... The mild lumi­ nosity evolution model predicts more luminous galaxies of large angular size at high redshift, as does a standard no evolution model. ... 25) with redshift higher than z ? ...

... 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 ... 603 604 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...

... One of the most widely used tools of Fourier analysis is the Parseval theorem. It enables the experimentalist to view how the `energy' in the signal is distributed among frequencies. The Fast Fourier Transform (FFT) algorithms have made power spectra one of the obvious diagnostics tools during data acquisition, and energy maps are a versa