Search results for " Statistics and Probability"
showing 10 items of 117 documents
"Table 15" of "Measurements of the Total and Differential Higgs Boson Production Cross Sections Combining the $H \rightarrow \gamma \gamma$ and $H \r…
2016
Correlation matrix for the total uncertainty of the differential shape measurement in bins of $N_{\rm{jets}}$.
"Table 7" of "Measurements of the Total and Differential Higgs Boson Production Cross Sections Combining the $H \rightarrow \gamma \gamma$ and $H \ri…
2016
Measured fractions in bins of $N_{\rm{jets}}$.
"Table 14" of "Measurements of the Total and Differential Higgs Boson Production Cross Sections Combining the $H \rightarrow \gamma \gamma$ and $H \r…
2016
Correlation matrix for the total uncertainty of the differential shape measurement in bins of $|y^{\rm{H}}|$.
"Table 10" of "Measurements of the Total and Differential Higgs Boson Production Cross Sections Combining the $H \rightarrow \gamma \gamma$ and $H \r…
2016
Correlation matrix for the total uncertainty of the differential cross-section measurement in bins of $|y^{\rm{H}}|$.
"Table 4" of "Spin asymmetries A(1) and structure functions g1 of the proton and the deuteron from polarized high energy muon scattering."
1998
The virtual photon deuteron asymmetries in smaller X an Q**2 bins. Errors are statistical only.
"Table 19" of "Measurement of the differential cross-sections of inclusive, prompt and non-prompt J/psi production in proton-proton collisions at sqr…
2013
Unweighted J/psi candidate yields in bins of $J/psi transverse momentum and rapidity. Uncertainties are statistical only.
"Table 2" of "Measurement of the cross-section for W boson production in association with b-jets in pp collisions at $\sqrt{s}$ = 7 TeV with the ATLA…
2015
Breakdown of relative systematic uncertainties per jet multiplicity, and combined across jet bins.
Horizontal visibility graphs: exact results for random time series
2009
The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows us to apply methods of complex network theory for characterizing time series. In this work we present the horizontal visibility algorithm, a geometrically simpler and analytically solvable version of our former algorithm, focusing on the mapping of random series (series of independent identically distributed random variables). After presenting some properties of the algorithm, we present exact results on the topological properties of graphs associated with random series, namely, the degree distribution, the clustering coefficient, and the mean path length. We sh…
Selectivity in Probabilistic Causality: Where Psychology Runs Into Quantum Physics
2011
Given a set of several inputs into a system (e.g., independent variables characterizing stimuli) and a set of several stochastically non-independent outputs (e.g., random variables describing different aspects of responses), how can one determine, for each of the outputs, which of the inputs it is influenced by? The problem has applications ranging from modeling pairwise comparisons to reconstructing mental processing architectures to conjoint testing. A necessary and sufficient condition for a given pattern of selective influences is provided by the Joint Distribution Criterion, according to which the problem of "what influences what" is equivalent to that of the existence of a joint distr…
Regularity of sets with constant horizontal normal in the Engel group
2012
In the Engel group with its Carnot group structure we study subsets of locally finite subRiemannian perimeter and possessing constant subRiemannian normal. We prove the rectifiability of such sets: more precisely we show that, in some specific coordinates, they are upper-graphs of entire Lipschitz functions (with respect to the Euclidean distance). However we find that, when they are written as intrinsic horizontal upper-graphs with respect to the direction of the normal, then the function defining the set might even fail to be continuous. Nevertheless, we can prove that one can always find other horizontal directions for which the set is the intrinsic horizontal upper-graph of a function t…