. The elementary methods (that is, the use of real analysis vs. complex analysis) have a long history from Chebyshev to modern times. They lead to great achievements, due to Erdos, Selberg, Bombieri, etc. I recently started a thorough study of these methods, in order to understand their scope. In the talk, I will give a quick survey of this field, and some new observations. Go to the Laboratoire Poncelet home page. Site design by Paul Zinn-Justin

... Posts tagged ?distribution? ... No time for reading the whole article? ... Continue reading ?Guinness, Gosset, Fisher, and Small Samples? ... Category: arXiv , Fitting , Frequentist , Quotes , Stat | ... Continue reading ?chi-square distribution [Eqn]? ... 2008? Tags: bimodality , distribution , Fourier , GRB , K-S test , kurtosis , Nested Sampling , quantification , skewness , wavelet . ... Data-Driven Goodness-of-Fit Tests by L. Mikhail . ... ArXiv] Data-Driven Goodness-of-Fit Tests, Aug. ...

... 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. ...

... 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. ...

... Nizhnij Arkhyz, 2007 . ... Romanyuk I.I. Speech at the opening ceremony of the conference "Physics of magnetic stars" . ... Gnedin Yu.N. Magnetic fields of stars and fundamental particle physics . ... Landstreet J.D., Andretta V., Bagnulo S., Mason E., Silaj J., Wade G.A. The magnetic fields of peculiar A and B stars in open clusters . ... Wade G.A., Catala C., Alecian E., Folsom C., Bagnulo S., Bohm T., Bouret J.-C., Donati J.-F., Drouin D. , Landstreet J.D. Magnetic fields in Herbig Ae/Be stars . ...

... Using the central limit theorem, the total noise can be approximated by a Gaussian or normal distribution which has the frequency function : . ... where is the mean intensity of the source. ... In the statistical analysis of the probability distribution of data several estimators based on moments are used. ... For a normal distribution, these moments are and while for a Poisson distribution are and . Besides these moments other estimators are used to describe a distribution e.g. median and mode . ...

... 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...

WPLTN Technical Workshop . ... WPLTN-2012) . ... of the International Scientific Technical Conference WPLTN-2012 . ... Having an opinion that the collocation of various space geodesy measurement technologies has a fundamental role in increasing the accuracy of fundamental and applied positioning, navigation and timing provision, the International Scientific Technical Conference WPLTN-2012 has come to the following conclusions: 2.1. ... Web-page . ... Resolution of the conference WPLTN-2012 . ...