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In this paper, we describe an algorithm and associated software package (sfit_minimize) for maximizing the likelihood function of a set of parameters by minimizing $\chi^2$. The key element of this method is that the algorithm estimates the…

Instrumentation and Methods for Astrophysics · Physics 2025-02-10 Jennifer C. Yee , Andrew P. Gould

High-energy physics data analysis relies heavily on the comparison between experimental and simulated data as stressed lately by the Higgs search at LHC and the recent identification of a Higgs-like new boson. The first link in the full…

High Energy Physics - Experiment · Physics 2015-06-12 Denis Perret-Gallix

The method in arXiv:2508.18409 constructs a ``data-driven correction'' from combinatorial (pseudo-$\phi$) pairs and applies it to the signal. An explicit decomposition shows that the construction calibrates the background response rather…

Nuclear Experiment · Physics 2025-09-03 Jinhui Chen , Diyu Shen , Xu Sun , Aihong Tang , Baoshan Xi

The experimental issue of the search for new particles of unknown mass poses the challenge of exploring a wide interval to look for the usual signatures represented by excess of events above the background. A side effect of such a broad…

Data Analysis, Statistics and Probability · Physics 2012-01-24 Gioacchino Ranucci

Estimating the rank of a corrupted data matrix is an important task in data analysis, most notably for choosing the number of components in PCA. Significant progress on this task was achieved using random matrix theory by characterizing the…

Statistics Theory · Mathematics 2023-07-12 Boris Landa , Thomas T. C. K. Zhang , Yuval Kluger

In recent years many procedures have been proposed to check the anisotropy of a dataset. We present a new simple procedure, based on a scale dependent approach, to detect anisotropy signatures in a given distribution with particular…

Instrumentation and Methods for Astrophysics · Physics 2017-08-23 M. Scuderi , M. De Domenico , A. Insolia , H. Lyberis

An operational approach to the study of computation based on correlations considers black-boxes with one-bit inputs and outputs, controlled by a limited classical computer capable only of performing sums modulo-2. In this setting, it was…

Quantum Physics · Physics 2017-12-06 André L. Oestereich , Ernesto F. Galvão

We introduce a novel methodology for addressing systematic uncertainties in unbinned inclusive cross-section measurements and related collider-based inference problems. Our approach incorporates known analytic dependencies on parameters of…

High Energy Physics - Phenomenology · Physics 2026-01-21 Lisa Benato , Cristina Giordano , Claudius Krause , Ang Li , Robert Schöfbeck , Dennis Schwarz , Maryam Shooshtari , Daohan Wang

[ABRIDGED] The Cash statistic, also known as the C stat, is commonly used for the analysis of low-count Poisson data, including data with null counts for certain values of the independent variable. The use of this statistic is especially…

Methodology · Statistics 2020-09-18 Massimiliano Bonamente , David Spence

The sensitivity of astronomical X-ray detectors is limited by the instrumental background. The background is especially important when observing low surface brightness sources that are critical for many of the science cases targeted by…

Instrumentation and Methods for Astrophysics · Physics 2022-08-18 D. R. Wilkins , S. W. Allen , E. D. Miller , M. Bautz , T. Chattopadhyay , R. Foster , C. E. Grant , S. Hermann , R. Kraft , R. G. Morris , P. Nulsen , G. Schellenberger

One important preprocessing step in the analysis of microarray data is background subtraction. In high-density oligonucleotide arrays this is recognized as a crucial step for the global performance of the data analysis from raw intensities…

Quantitative Methods · Quantitative Biology 2009-12-08 K. Myriam Kroll , Gerard T. Barkema , Enrico Carlon

Bayesian analysis has become an indispensable tool across many different cosmological fields including the study of gravitational waves, the Cosmic Microwave Background and the 21-cm signal from the Cosmic Dawn among other phenomena. The…

Instrumentation and Methods for Astrophysics · Physics 2023-12-19 Harry T. J. Bevins , William J. Handley , Pablo Lemos , Peter H. Sims , Eloy de Lera Acedo , Anastasia Fialkov , Justin Alsing

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…

High Energy Physics - Experiment · Physics 2009-11-23 S. Caron , G. Cowan , E. Gross , S. Horner , J. E. Sundermann

Methods.There are no experimental data about the background experienced by microcalorimeters in the L2 orbit, and thus the particle background levels were calculated by means of Monte Carlo simulations: we considered the original design…

Instrumentation and Methods for Astrophysics · Physics 2015-03-23 S. Lotti , D. Cea , C. Macculi , T. Mineo , L. Natalucci , E. Perinati , L. Piro , M. Federici , B. Martino

Weighted histograms in Monte Carlo simulations are often used for the estimation of probability density functions. They are obtained as a result of random experiments with random events that have weights. In this paper, the bin contents of…

Data Analysis, Statistics and Probability · Physics 2010-03-02 N. D. Gagunashvili

In recent years, the shortcomings of Bayesian posteriors as inferential devices have received increased attention. A popular strategy for fixing them has been to instead target a Gibbs measure based on losses that connect a parameter of…

Statistics Theory · Mathematics 2025-04-24 David T. Frazier , Jeremias Knoblauch , Jack Jewson , Christopher Drovandi

Methods of causal discovery aim to identify causal structures in a data driven way. Existing algorithms are known to be unstable and sensitive to statistical errors, and are therefore rarely used with biomedical or epidemiological data. We…

Methodology · Statistics 2024-07-01 Christine W Bang , Janine Witte , Ronja Foraita , Vanessa Didelez

A model is proposed to address issues on the precise background evaluation due to the complex data structure defined by the delayed coincidence method, which is widely used in reactor electron-antineutrino oscillation experiments. In this…

Instrumentation and Detectors · Physics 2016-02-05 Jingyi Yu , Zhe Wang , Shaomin Chen

To find New Physics or to refine our knowledge of the Standard Model at the LHC is an enterprise that involves many factors. We focus on taking advantage of available information and pour our effort in re-thinking the usual data-driven ABCD…

High Energy Physics - Phenomenology · Physics 2024-09-26 Ezequiel Alvarez , Leandro Da Rold , Manuel Szewc , Alejandro Szynkman , Santiago A. Tanco , Tatiana Tarutina

In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all…

Methodology · Statistics 2014-06-17 Shirin Golchi , Derek R. Bingham , Hugh Chipman , David A. Campbell