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Related papers: epsilon'/epsilon in the Standard Model

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Weather forecasts are typically given in the form of forecast ensembles obtained from multiple runs of numerical weather prediction models with varying initial conditions and physics parameterizations. Such ensemble predictions tend to be…

Applications · Statistics 2017-01-13 Sebastian Lerch , Sandor Baran

This paper proposes a local representation for Empirical Likelihood (EL). EL admits the classical local linear quadratic representation by its likelihood ratio property. A local estimator is derived by using the new representation.…

Statistics Theory · Mathematics 2014-03-27 Zhengyuan Gao

We generalize $\epsilon$-pseudospectra and the associated computational algorithms to the generalized eigenvalue problem. Rank one perturbations are used to determine the $\epsilon$-pseudospectra.

Numerical Analysis · Mathematics 2019-11-18 Kurt S. Riedel

We derive an efficient method to calculate exceedance probabilities (EP) for the Dirichlet distribution when the number of event types is larger than two. Also, we present an intuitive application of Dirichlet EPs and compare our method to…

Applications · Statistics 2016-11-07 Joram Soch , Carsten Allefeld

A test on the numerical accuracy of the semiclassical approximation as a function of the principal quantum number has been performed for the Pullen--Edmonds model, a two--dimensional, non--integrable, scaling invariant perturbation of the…

High Energy Physics - Theory · Physics 2009-09-25 S. Graffi , V. R. Manfredi , L. Salasnich

We improve a known result on the strong consistency of M-estimates of the regression parameters in a linear model for independent and identically distributed random errors under some mild conditions.

Statistics Theory · Mathematics 2015-05-28 Xinghui Wang , Shuhe Hu

We give explicit estimates for the Stirling numbers of the second kind $S(n,m)$. With a few exceptions, such estimates are asymptotically sharp. The form of these estimates varies according to $m$ lying in the central or non-central regions…

Combinatorics · Mathematics 2024-07-12 José A. Adell

Generalized linear mixed models are powerful tools for analyzing clustered data, where the unknown parameters are classically (and most commonly) estimated by the maximum likelihood and restricted maximum likelihood procedures. However,…

Statistics Theory · Mathematics 2023-03-23 Andrea M. Bratsberg , Magne Thoresen , Abhik Ghosh

For some $\epsilon > 10^{-36}$ we give a randomized $3/2-\epsilon$ approximation algorithm for metric TSP.

Data Structures and Algorithms · Computer Science 2023-10-26 Anna R. Karlin , Nathan Klein , Shayan Oveis Gharan

We prove uniform estimates for the expected value of averages of order statistics of matrices in terms of their largest entries. As an application, we obtain similar probabilistic estimates for $\ell_p$ norms via real interpolation.

Probability · Mathematics 2018-10-02 Richard Lechner , Markus Passenbrunner , Joscha Prochno

The article reports a numerical investigation of the breakdown of a disordered system considering the effect of local stress concentration under the action of an external tensile force. The statistics of the record-breaking magnitudes of…

Statistical Mechanics · Physics 2023-05-23 Subhadeep Roy

Recently, the distributed state estimation problem for continuous-time linear systems over jointly connected switching networks was solved. It was shown that the estimation errors will asymptotically converge to the origin by using the…

Optimization and Control · Mathematics 2022-10-07 Tao Liu , Jie Huang

The theoretical predictions in the standard model (SM) and measurements on the anomalous magnetic dipole moments (MDM) of muon and electron have great precision, hence the MDMs of muon and electron have close relation with the new physics…

High Energy Physics - Phenomenology · Physics 2020-04-10 Jin-Lei Yang , Tai-Fu Feng , Hai-Bin Zhang

The efficient modeling for disorder in a phenomena depends on the chosen score and objective functions. The main parameters in modeling are location, scale and shape. The exponential power distribution known as generalized Gaussian is…

Statistics Theory · Mathematics 2021-02-08 Mehmet Niyazi Çankaya

A systematic study is made of the data dependence of the parameter $A_{\rm{b}}$, that, since 1995, has shown a deviation from the Standard Model prediction of between 2.4 and 3.1 standard deviations. Issues addressed include: the effect of…

High Energy Physics - Experiment · Physics 2009-10-31 J. H. Field , D. Sciarrino

We consider a perturbed integrable system with one frequency, and the approximate dynamics for the actions given by averaging over the angle. The classical theory grants that, for a perturbation of order epsilon, the error of this…

Mathematical Physics · Physics 2009-11-11 Carlo Morosi , Livio Pizzocchero

We derive the optimal energy error estimate for multiscale finite element method with oversampling technique applying to elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded…

Numerical Analysis · Mathematics 2023-10-23 Pingbing Ming , Siqi Song

Entropy notions for $\varepsilon$-incremental practical stability and incremental stability of deterministic nonlinear systems under disturbances are introduced. The entropy notions are constructed via a set of points in state space which…

Optimization and Control · Mathematics 2022-09-13 Michelle S. Chong

Numerical experiments support the interesting conjecture that statistical methods be applicable not only to fully-chaotic systems, but also at the edge of chaos by using Tsallis' generalizations of the standard exponential and entropy. In…

Statistical Mechanics · Physics 2017-08-23 Marcello Lissia , Massimo Coraddu , Roberto Tonelli

We measure the mass of the eta' meson using psi(2S)--> pi+ pi- J/psi, J/psi--> gamma eta' events acquired with the CLEO-c detector operating at the CESR e+e- collider. Using three decay modes, eta'--> rho0 gamma, eta'--> pi+ pi- eta with…

High Energy Physics - Experiment · Physics 2010-04-08 CLEO Collaboration , J. Libby