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A common situation in experimental physics is to have a signal which can not be separated from a non-interfering background through the use of any cut. In this paper, we describe a procedure for determining, on an event-by-event basis, a…

Data Analysis, Statistics and Probability · Physics 2008-05-20 M. Williams , M. Bellis , C. A. Meyer

Background treatment is crucial to extract physics from precision experiments. In this paper, we introduce a novel method to assign each event a signal probability. This could then be used to weight the event's contribution to the…

High Energy Physics - Experiment · Physics 2014-01-28 Yadi Wang , Beijiang Liu , Xiaoyan Shen , Ziping Zhang

Goal of these proceedings is to introduce a method based on event weighting in particle physics experiments. Weighting means that events are not just counted as integer numbers but are assigned a weight factor according to their importance…

Data Analysis, Statistics and Probability · Physics 2022-03-11 Joerg Pretz

An original experimental method for determining the empirical probability distribution function (PDF) of the quality factor (Q) of a mode-stirred reverberation chamber is presented. Spectral averaging of S-parameters across a relatively…

Optics · Physics 2015-06-18 Luk R. Arnaut , Mihai I. Andries , Jerome Sol , Philippe Besnier

We discuss the definition of quantum probability in the context of "timeless" general--relativistic quantum mechanics. In particular, we study the probability of sequences of events, or multi-event probability. In conventional quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frank Hellmann , Mauricio Mondragon , Alejandro Perez , Carlo Rovelli

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

A method is described, which computes from an observed sample of events upper limits for production rates of particles, or, in case of appearance of a signal, the probability for an upwards fluctuation of the background. For any candidate,…

High Energy Physics - Experiment · Physics 2010-10-27 P. Bock

In this paper, the Q-factor expression for periodic arrays over a ground plane is determined in terms of the electric current density within the array's unit cell. The expression accounts for the exact shape of the array element. The…

Classical Physics · Physics 2020-02-19 Andrei Ludvig-Osipov , B. L. G. Jonsson

This paper presents a statistical method to subtract background in maximum likelihood fit, without relying on any separate sideband or simulation for background modeling. The method, called sFit, is an extension to the sPlot technique…

Data Analysis, Statistics and Probability · Physics 2009-05-07 Yuehong Xie

In this paper, the bounds on the Q-factor, a quantity inversely proportional to bandwidth, are derived and investigated for narrow-band phased array antennas. Arrays in free space and above a ground plane are considered. The Q-factor bound…

Classical Physics · Physics 2021-09-15 Andrei Ludvig-Osipov , Jari-Matti Hannula , Patricia Naccachian , B. L. G. Jonsson

The Q-factor for lossless three-dimensional structures with two-dimensional periodicity is here derived in terms of the electric current density. The derivation in itself is shape-independent and based on the periodic free-space Green's…

Classical Physics · Physics 2020-12-02 Andrei Ludvig-Osipov , B. L. G. Jonsson

A factor-graph representation of quantum-mechanical probabilities (involving any number of measurements) is proposed. Unlike standard statistical models, the proposed representation uses auxiliary variables (state variables) that are not…

Information Theory · Computer Science 2017-06-13 Hans-Andrea Loeliger , Pascal O. Vontobel

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi

The experimental problem of converting a measured binomial quantity, the fraction of events in a sample that pass a cut, into a physical binomial quantity, the fraction of events originating from a signal source, is described as a system of…

High Energy Physics - Experiment · Physics 2007-05-23 Michael L. Kelly

Subsampling is an efficient method to deal with massive data. In this paper, we investigate the optimal subsampling for linear quantile regression when the covariates are functions. The asymptotic distribution of the subsampling estimator…

Numerical Analysis · Mathematics 2022-05-06 Qian Yan , Hanyu Li , Chengmei Niu

M-quantile random-effects regression represents an interesting approach for modelling multilevel data when the interest of researchers is focused on the conditional quantiles. When data are based on complex survey designs, sampling weights…

Statistics Theory · Mathematics 2018-02-23 Francesco Schirripa Spagnolo , Nicola Salvati , Antonella D'Agostino , Ides Nicaise

Estimating the probability distribution 'q' governing the behaviour of a certain variable by sampling its value a finite number of times most typically involves an error. Successive measurements allow the construction of a histogram, or…

Statistical Mechanics · Physics 2009-11-07 Ines Samengo

Causal inference using observational data is challenging, especially in the bivariate case. Through the minimum description length principle, we link the postulate of independence between the generating mechanisms of the cause and of the…

Machine Learning · Statistics 2020-08-17 Natasa Tagasovska , Valérie Chavez-Demoulin , Thibault Vatter

After a brief history of the development of quality factor, useful expressions are derived for the robust input-impedance Qz(w) quality factor that accurately determines the VSWR fractional bandwidth of antennas for isolated resonances and…

Classical Physics · Physics 2026-05-28 Arthur D. Yaghjian

In a causal graphical model, an instrument for a variable X and its effect Y is a random variable that is a cause of X and independent of all the causes of Y except X. (Pearl (1995), Spirtes et al (2000)). Instrumental variables can be used…

Methodology · Statistics 2013-01-14 Tianjiao Chu , Richard Scheines , Peter L. Spirtes
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