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The accurate classification of galaxies in large-sample astrophysical databases of galaxy clusters depends sensitively on the ability to distinguish between morphological types, especially at higher redshifts. This capability can be…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-21 Mercedes T. Richards , Donald St. P. Richards , Elizabeth Martinez-Gomez

The accuracy of the conventional treatment of quark mass thresholds in the QCD running coupling constant $\alpha_s$, based on the step approximation to the $\beta$--function, is investigated. The errors of extrapolating $\ase(\mu)$ from low…

High Energy Physics - Phenomenology · Physics 2016-09-01 Jiri Chyla

The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory. However, current distance measures within the literature do not account for the direction of change between fuzzy sets; a useful concept in a…

Artificial Intelligence · Computer Science 2013-08-26 Josie McCulloch , Christian Wagner , Uwe Aickelin

The distance between the true and numerical solutions in some metric is considered as the discretization error magnitude. If error magnitude ranging is known, the triangle inequality enables the estimation of the vicinity of the approximate…

Computational Physics · Physics 2018-05-11 A. K. Alekseev , A. E. Bondarev , I. M. Navon

Accurate measurement of relative distance and orientation of two nearby quantum particles is discussed. We are in particular interested in a realistic description requiring as little prior knowledge about the system as possible. Thus,…

Quantum Physics · Physics 2015-05-14 Qurrat-ul-Ain Gulfam , Joerg Evers

This paper describes the use of weighted Monte Carlo events to accurately approximate integrals of functions of the experimentally measured kinematical vectors and their dependence on physical parameters. This technique is demonstrated in…

High Energy Physics - Experiment · Physics 2015-06-25 G. K. Fanourakis , D. Fassouliotis , S. E. Tzamarias

This article provides an exact formula for the signal n-point correlation functions of detectors continuously measuring an arbitrary quantum system, in the presence of detection imperfections. The derivation uses only continuous stochastic…

Quantum Physics · Physics 2018-08-08 Antoine Tilloy

We investigate the joint asymptotic behavior of so-called blocks estimator of the extremal index, that determines the mean length of clusters of extremes, based on the exceedances over different thresholds. Due to the large bias of these…

Methodology · Statistics 2011-07-06 Holger Drees

Second-order measures, such as the two-point correlation function, are geometrical quantities describing the clustering properties of a point distribution. In this article well-known estimators for the correlation integral are reviewed and…

Astrophysics · Physics 2007-05-23 Martin Kerscher

The article presents a comparative analysis of the accuracy of the distance to the observed object for geometric methods in noisy observations of bearings-only information.

Other Computer Science · Computer Science 2011-05-03 Sergey Alexandrovich Pyunninen

In error-tolerant applications, approximate adders have been exploited extensively to achieve energy efficient system designs. Mean error distance is one of the important error metrics used as a performance measure of approximate adders. In…

Other Computer Science · Computer Science 2018-03-22 Avishek Sinha Roy , Anindya Sundar Dhar

We describe an analysis of the galaxy-absorber cross-correlation function as a function of velocity separation, impact parameter separation, and absorber Lyman alpha equivalent width on impact parameter scales that extend up to 1 Mpc.

Astrophysics · Physics 2007-05-23 Kenneth M. Lanzetta , John K. Webb , Xavier Barcons

Typically, optical microscopy uses the wavelike properties of light to image a scene. However, photon arrival times provide more information about emitter properties than the classical intensity alone. Here, we show that the Hanbury Brown…

Quantum Physics · Physics 2020-01-15 Josef G. Worboys , Daniel W. Drumm , Andrew D. Greentree

The aim of this paper is to discuss both higher-order asymptotic expansions and skewed approximations for the Bayesian Discrepancy Measure for testing precise statistical hypotheses. In particular, we derive results on third-order…

Methodology · Statistics 2025-05-02 Elena Bortolato , Francesco Bertolino , Monica Musio , Laura Ventura

We present the optimal convergence and shear estimators for lensing reconstruction from the cosmic microwave background temperature field. This generalizes the deflection estimator, is sensitive to non-lensing modes, provides internal…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Hong-Ming Zhu , Ue-Li Pen

An extension may be proposed to the intensity interferometer of Hanbury Brown and Twiss to provide the Fourier phase measurement by the use of third-order intensity correlations. It is well known that interferometric reconstruction of…

Astrophysics · Physics 2008-06-14 B. E. Zhilyaev

In the present paper we examine the accuracy of the quasiclassical approach on the example of small-angle electron elastic scattering. Using the quasiclassical approach, we derive the differential cross section and the Sherman function for…

Atomic Physics · Physics 2015-11-13 P. A. Krachkov , R. N. Lee , A. I. Milstein

We derive contrast measures which involve the number of looks and the complex correlation coefficient between polarization channels in PolSAR imagery. Using asymptotic results which characterize the behavior of these measures, we derive…

Statistics Theory · Mathematics 2014-02-11 Alejandro C. Frery , Renato J. Cintra , Abraão D. C. Nascimento

A new method of measurements of angular correlations in neutron decay is proposed. It excludes the need of precise spectroscopy of decay products and thus promises to make the systematic uncertainties of the results much lower than in…

Nuclear Experiment · Physics 2007-05-23 B. Yerozolimsky

In this letter, we consider two sets of observations defined as subspace signals embedded in noise and we wish to analyze the distance between these two subspaces. The latter entails evaluating the angles between the subspaces, an issue…

Methodology · Statistics 2015-06-17 Olivier Besson , Nicolas Dobigeon , Jean-Yves Tourneret