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Data Analysis papers — page 65

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Predicting sports scoring dynamics with restoration and anti-persistence
Professional team sports provide an excellent domain for studying the dynamics of social competitions. These games are constructed with simple, well-defined rules and payoffs that admit a…
Leto Peel, Aaron ClausetApr 22, 2015
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Category theoretic properties of the A. Rényi and C. Tsallis entropies
The problem of embedding the Tsallis and Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category MES related to…
György Steinbrecher, Alberto Sonnino, Giorgio SonninoApr 21, 2015
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On the ambiguity of determination of interfering resonances parameters
The general form of solutions for parameters of interfering Breit-Wigner resonances is found. The number of solutions is determined by the properties of roots of corresponding characteristic equation…
V. M. MalyshevApr 17, 2015
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Robust linear regression with broad distributions of errors
We consider the problem of linear fitting of noisy data in the case of broad (say α-stable) distributions of random impacts ("noise"), which can lack even the first moment. This situation,…
Eugene B. Postnikov, Igor M. SokolovApr 13, 2015
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Stochastic determination of matrix determinants
Matrix determinants play an important role in data analysis, in particular when Gaussian processes are involved. Due to currently exploding data volumes, linear operations - matrices - acting on the…
Sebastian Dorn, Torsten A. EnßlinApr 10, 2015
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Objective Bayesian analysis of counting experiments with correlated sources of background
Searches for faint signals in counting experiments are often encountered in particle physics and astrophysics, as well as in other fields. Many problems can be reduced to the case of a model with…
Diego Casadei, Cornelius Grunwald, Kevin Kröninger et al.Apr 10, 2015
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Efficient maximum likelihood parameterization of continuous-time Markov processes
Continuous-time Markov processes over finite state-spaces are widely used to model dynamical processes in many fields of natural and social science. Here, we introduce an maximum likelihood estimator…
Robert T. McGibbon, Vijay S. PandeApr 8, 2015
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Learning about probabilistic inference and forecasting by playing with multivariate normal distributions
The properties of the normal distribution under linear transformation, as well the easy way to compute the covariance matrix of marginals and conditionals, offer a unique opportunity to get an…
Giulio D'AgostiniApr 8, 2015
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Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values
A method is presented for analysing over-determined sets of clock frequency comparison data involving standards based on a number of different reference transitions. This least-squares adjustment…
H. S. Margolis, P. GillApr 7, 2015
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Bertrand `paradox' reloaded (with details on transformations of variables, an introduction to Monte Carlo simulation and an inferential variation of the problem)
This note is mainly to point out, if needed, that uncertainty about models and their parameters has little to do with a `paradox'. The proposed `solution' is to formulate practical questions…
Giulio D'AgostiniApr 6, 2015
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On the relation between uncertainties of weighted frequency averages and the various types of Allan deviations
The power spectral density in Fourier frequency domain, and the different variants of the Allan deviation (ADEV) in dependence on the averaging time are well established tools to analyse the…
Erik Benkler, Christian Lisdat, Uwe SterrApr 2, 2015
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Deviation from power law of the global earthquake seismic moment distribution
The distribution of seismic moment is of capital interest to evaluate earthquake hazard, in particular regarding the most extreme events. We make use of likelihood-ratio tests to compare the simple…
Isabel Serra, Álvaro CorralApr 1, 2015
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Grid-scale Fluctuations and Forecast Error in Wind Power
The fluctuations in wind power entering an electrical grid (Irish grid) were analyzed and found to exhibit correlated fluctuations with a self-similar structure, a signature of large-scale…
G. Bel, C. P. Connaughton, M. Toots et al.Mar 29, 2015
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Equipartitions and a Distribution for Numbers: A Statistical Model for Benford's Law
A statistical model for the fragmentation of a conserved quantity is analyzed, using the principle of maximum entropy and the theory of partitions. Upper and lower bounds for the restricted…
Joseph R. Iafrate, Steven J. Miller, Frederick W. StrauchMar 28, 2015
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A rational approximation for efficient computation of the Voigt function in quantitative spectroscopy
We present a rational approximation for rapid and accurate computation of the Voigt function, obtained by residue calculus. The computational test reveals that with only 16 summation terms this…
S. M. Abrarov, B. M. QuineMar 27, 2015
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A Cook Book of Structure Functions
The structure function is a useful quantity to characterize wavefront distortions. We derive expressions for the structure functions of the averaged wavefront phase and slopes. The expressions are…
Aglae KellererMar 26, 2015
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Practical Statistics for the LHC
This document is a pedagogical introduction to statistics for particle physics. Emphasis is placed on the terminology, concepts, and methods being used at the Large Hadron Collider. The document…
Kyle CranmerMar 26, 2015
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Numerical and experimental study of the effects of noise on the permutation entropy
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerical examples the logistic map and the Rössler system. Upon varying the noise strengthfaster, we find…
C. Quintero-Quiroz, Simone Pigolotti, M. C. Torrent et al.Mar 25, 2015
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Analysis of the ensemble Kalman filter for marginal and joint posteriors
The ensemble Kalman filter (EnKF) is widely used to sample a probability density function (pdf) generated by a stochastic model conditioned by noisy data. This pdf can be either a joint posterior…
Matthias Morzfeld, Daniel HodyssMar 23, 2015
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Random matrix approach to multivariate categorical data analysis
Correlation and similarity measures are widely used in all the areas of sciences and social sciences. Often the variables are not numbers but are instead qualitative descriptors called categorical…
Aashay Patil, M. S. SanthanamMar 23, 2015
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A note on entropy estimation
We compare an entropy estimator Hz recently discussed in [10] with two estimators H1 and H2 introduced in [6][7]. We prove the identity Hz H1, which has not been taken into…
Thomas SchürmannMar 19, 2015
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On evaluation of ShARP passive rainfall retrievals over snow-covered land surfaces and coastal zones
For precipitation retrievals over land, using satellite measurements in microwave bands, it is important to properly discriminate the weak rainfall signals from strong and highly variable background…
Ardeshir M. Ebtehaj, Rafael L. Bras, Efi Foufoula-GeorgiouMar 18, 2015
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Exponential Family Models from Bayes' Theorem under Expectation Constraints
It is shown that a consistent application of Bayesian updating from a prior probability density to a posterior using evidence in the form of expectation constraints leads to exactly the same results…
Sergio DavisMar 11, 2015
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On the long-term correlations and multifractal properties of electric arc furnace time series
In this paper, we study long-term correlations and multifractal properties elaborated from time series of three-phase current signals coming from an industrial electric arc furnace plant. Implicit…
Lorenzo Livi, Enrico Maiorino, Antonello Rizzi et al.Mar 11, 2015
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Safe Leads and Lead Changes in Competitive Team Sports
We investigate the time evolution of lead changes within individual games of competitive team sports. Exploiting ideas from the theory of random walks, the number of lead changes within a single game…
A. Clauset, M. Kogan, S. RednerMar 11, 2015
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