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We propose a method to estimate the probability of new physics discovery in future high energy physics experiments. Physics simulation gives both the average numbers $<N_b>$ of background and $<N_s>$ of signal events. We find that the…

数据分析、统计与概率 · 物理学 2007-05-23 S. I. Bityukov , N. V. Krasnikov

In the report the approach to estimation of quality of planned experiments is considered. This approach is based on the analysis of uncertainty, which will take place under the future hypotheses testing about the existence of a new…

数据分析、统计与概率 · 物理学 2009-11-10 S. I. Bityukov , N. V. Krasnikov

We present a procedure for calculating an upper limit on the number of signal events which incorporates the Poisson uncertainty in the background, estimated from control regions of one or two dimensions. For small number of signal events,…

数据分析、统计与概率 · 物理学 2015-06-26 K. K. Gan

Statistical significance testing of differences in values of metrics like recall, precision and balanced F-score is a necessary part of empirical natural language processing. Unfortunately, we find in a set of experiments that many commonly…

计算与语言 · 计算机科学 2007-05-23 Alexander Yeh

This paper presents a novel approach to estimate the Standard Model backgrounds based on modifying Monte Carlo predictions within their systematic uncertainties. The improved background model is obtained by altering the original predictions…

高能物理 - 实验 · 物理学 2009-11-23 S. Caron , G. Cowan , E. Gross , S. Horner , J. E. Sundermann

Several experiments in high-energy physics and astrophysics can be treated as on/off measurements, where an observation potentially containing a new source or effect ("on" measurement) is contrasted with a background-only observation free…

数据分析、统计与概率 · 物理学 2018-05-23 G. Vianello

A large fraction of papers in the climate literature includes erroneous uses of significance tests. A Bayesian analysis is presented to highlight the meaning of significance tests and why typical misuse occurs. It is concluded that a…

大气与海洋物理 · 物理学 2016-08-24 Maarten H. P. Ambaum

This article discusses the determination of asymmetries. We consider a sample of events consisting of a peak of signal events on top of some background events. Both signal and background have an unknown asymmetry, e.g. a spin or…

数据分析、统计与概率 · 物理学 2009-05-20 Jörg Pretz , Jean-Marc Le Goff

We propose a method to estimate the probability of new physics discovery in future high energy physics experiments. Physics simulation gives both the average numbers $<N_b>$ of background and $<N_s>$ of signal events. We find that the…

高能物理 - 唯象学 · 物理学 2007-05-23 S. I. Bityukov , N. V. Krasnikov

The incorporation of systematic uncertainties into confidence interval calculations has been addressed recently in a paper by Conrad et al. (Physical Review D 67 (2003) 012002). In their work, systematic uncertainities in detector…

数据分析、统计与概率 · 物理学 2009-11-10 Gary C. Hill

Continuous monitoring is becoming more popular due to its significant benefits, including reducing sample sizes and reaching earlier conclusions. In general, it involves monitoring nuisance parameters (e.g., the variance of outcomes) until…

统计理论 · 数学 2025-07-31 Long-Hao Xu , Tim Friede

We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing…

量子物理 · 物理学 2024-03-27 Giulio Gasbarri , Matias Bilkis , Elisabet Roda-Salichs , John Calsamiglia

Classifiers are often tested on relatively small data sets, which should lead to uncertain performance metrics. Nevertheless, these metrics are usually taken at face value. We present an approach to quantify the uncertainty of…

机器学习 · 统计学 2021-03-05 Niklas Tötsch , Daniel Hoffmann

Quantitative characterizations and estimations of uncertainty are of fundamental importance in optimization and decision-making processes. Herein, we propose intuitive scores, which we call certainty and doubt, that can be used in both a…

While considerable advance has been made to account for statistical uncertainties in astronomical analyses, systematic instrumental uncertainties have been generally ignored. This can be crucial to a proper interpretation of analysis…

In this article we study the problem of quantifying the uncertainty in an experiment with a technical system. We propose new density estimates which combine observed data of the technical system and simulated data from an (imperfect)…

统计理论 · 数学 2020-12-21 Sebastian Kersting , Michael Kohler

Unquantified sources of uncertainty in observational causal analyses can break the integrity of the results. One would never want another analyst to repeat a calculation with the same dataset, using a seemingly identical procedure, only to…

统计方法学 · 统计学 2022-08-12 Marco Morucci , Md. Noor-E-Alam , Cynthia Rudin

In this Reply we include the corrections suggested in the Comment [Phys. Rev. Lett. 131, 169001]. We show that their impact on our results is small, and that the overall conclusion of the Article [Phys. Rev. Lett. 129, 111102] are robust.…

广义相对论与量子宇宙学 · 物理学 2023-11-01 Gregorio Carullo , Roberto Cotesta , Emanuele Berti , Vitor Cardoso

We study the robustness of conformal prediction, a powerful tool for uncertainty quantification, to label noise. Our analysis tackles both regression and classification problems, characterizing when and how it is possible to construct…

In this note, an alternative for presenting the distribution of `significant' events in searches for new phenomena is described. The alternative is based on probability density functions used in the evaluation of the `significance' of an…

高能物理 - 实验 · 物理学 2019-02-25 Nicholas Wardle