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The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

High-precision analyses of supersymmetry parameters aim at reconstructing the fundamental supersymmetric theory and its breaking mechanism. A well defined theoretical framework is needed when higher-order corrections are included. We…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. A. Aguilar-Saavedra , A. Ali , B. C. Allanach , R. Arnowitt , H. A. Baer , J. A. Bagger , C. Balazs , V. Barger , M. Barnett , A. Bartl , M. Battaglia , P. Bechtle , G. Belanger , A. Belyaev , E. L. Berger , G. Blair , E. Boos , M. Carena , S. Y. Choi , F. Deppisch , A. De Roeck , K. Desch , M. A. Diaz , A. Djouadi , B. Dutta , S. Dutta , H. Eberl , J. Ellis , J. Erler , H. Fraas , A. Freitas , T. Fritzsche , R. M. Godbole , G. J. Gounaris , J. Guasch , J. Gunion , N. Haba , H. E. Haber , K. Hagiwara , L. Han , T. Han , H. -J. He , S. Heinemeyer , S. Hesselbach , K. Hidaka , I. Hinchliffe , M. Hirsch , K. Hohenwarter-Sodek , W. Hollik , W. S. Hou , T. Hurth , I. Jack , Y. Jiang , D. R. T. Jones , J. Kalinowski , T. Kamon , G. Kane , S. K. Kang , T. Kernreiter , W. Kilian , C. S. Kim , S. F. King , O. Kittel , M. Klasen , J. -L. Kneur , K. Kovarik , M. Kramer , S. Kraml , R. Lafaye , P. Langacker , H. E. Logan , W. -G. Ma , W. Majerotto , H. -U. Martyn , K. Matchev , D. J. Miller , M. Mondragon , G. Moortgat-Pick , S. Moretti , T. Mori , G. Moultaka , S. Muanza , M. M. Muhlleitner , B. Mukhopadhyaya , U. Nauenberg , M. M. Nojiri , D. Nomura , H. Nowak , N. Okada , K. A. Olive , W. Oller , M. Peskin , T. Plehn , G. Polesello , W. Porod , F. Quevedo , D. Rainwater , J. Reuter , P. Richardson , K. Rolbiecki , P. Roy , R. Ruckl , H. Rzehak , P. Schleper , K. Siyeon , P. Skands , P. Slavich , D. Stockinger , P. Sphicas , M. Spira , T. Tait , D. R. Tovey , J. W. F. Valle , C. E. M. Wagner , Ch. Weber , G. Weiglein , P. Wienemann , Z. -Z. Xing , Y. Yamada , J. M. Yang , D. Zerwas , P. M. Zerwas , R. -Y. Zhang , X. Zhang , S. -H. Zhu

Observational astrophysics consists of making inferences about the Universe by comparing data and models. The credible intervals placed on model parameters are often as important as the maximum a posteriori probability values, as the…

Instrumentation and Methods for Astrophysics · Physics 2021-12-15 Will J. Percival , Oliver Friedrich , Elena Sellentin , Alan Heavens

By introducing Crossing functions and hyper-parameters I show that the Bayesian interpretation of the Crossing Statistics [1] can be used trivially for the purpose of model selection among cosmological models. In this approach to falsify a…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-24 Arman Shafieloo

Constructing valid inferential methods for constrained parameters in normal and Poisson distributions represents two fundamental and important problems in applied statistics, for which there is currently no unified framework for statistical…

Methodology · Statistics 2026-04-13 Hezhi Lu , Qijun Wu

We perform a comparative study of the neutralino dark matter scattering on nucleon in three popular supersymmetric models: the minimal (MSSM), the next-to-minimal (NMSSM) and the nearly minimal (nMSSM). First, we give the predictions of the…

High Energy Physics - Phenomenology · Physics 2010-07-14 Junjie Cao , Ken-ichi Hikasa , Wenyu Wang , Jin Min Yang , Li-Xin Yu

We compare updated predictions for the elastic scattering of supersymmetric neutralino dark matter with the improved experimental upper limit recently published by CDMS II. We take into account the possibility that the \pi-nucleon \Sigma…

High Energy Physics - Phenomenology · Physics 2010-04-06 John Ellis , Keith A. Olive , Yudi Santoso , Vassilis C. Spanos

Bayesian statistical methods offer a simple and consistent framework for incorporating uncertainties into a multi-parameter inference problem. In this work we apply these methods to a selection of current direct dark matter searches. We…

High Energy Physics - Phenomenology · Physics 2015-05-28 Chiara Arina , Jan Hamann , Yvonne Y. Y. Wong

Recent work has shown that the Constrained Minimal Supersymmetric Standard Model (CMSSM) can possess several distinct solutions for certain values of its parameters. The extra solutions were not previously found by public supersymmetric…

High Energy Physics - Phenomenology · Physics 2014-02-24 B. C. Allanach , Damien P. George , Benjamin Nachman

Constraining Beyond the Standard Model theories usually involves scanning highly multi-dimensional parameter spaces and check observable predictions against experimental bounds and theoretical constraints. Such task is often timely and…

High Energy Physics - Phenomenology · Physics 2023-02-08 Fernando Abreu de Souza , Miguel Crispim Romão , Nuno Filipe Castro , Mehraveh Nikjoo , Werner Porod

We consider the problem of setting confidence intervals on a parameter of interest from the maximum-likelihood fit of a physics model to a binned data set with a large number of bins, large event-counts per bin, and in the presence of…

Data Analysis, Statistics and Probability · Physics 2026-02-09 Cristina-Andreea Alexe , Joshua Bendavid , Lorenzo Bianchini , Davide Bruschini

In view of the imminent start of the LHC experimental programme, we use the available indirect experimental and cosmological information to estimate the likely range of parameters of the constrained minimal supersymmetric extension of the…

High Energy Physics - Phenomenology · Physics 2009-02-10 O. Buchmueller , R. Cavanaugh , A. De Roeck , J. R. Ellis , H. Flaecher , S. Heinemeyer , G. Isidori , K. A. Olive , P. Paradisi , F. J. Ronga , G. Weiglein

We fit the $\gamma$-ray excess from the galactic centre (GC) in terms of parameters of the minimal supersymmetric standard model (MSSM). Consistency with other $\gamma$-ray observation, such as those from dwarf spheroidal galaxies, is also…

High Energy Physics - Phenomenology · Physics 2018-02-27 Arpan Kar , Sourav Mitra , Biswarup Mukhopadhyaya , Tirthankar Roy Choudhury

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

A large number of studies, all using Bayesian parameter inference from Markov Chain Monte Carlo methods, have constrained the presence of a decaying dark matter component. All such studies find a strong preference for either very long-lived…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-04 Emil Brinch Holm , Laura Herold , Steen Hannestad , Andreas Nygaard , Thomas Tram

We consider the nonparametric multivariate isotonic regression problem, where the regression function is assumed to be nondecreasing with respect to each predictor. Our goal is to construct a Bayesian credible interval for the function…

Statistics Theory · Mathematics 2022-11-24 Kang Wang , Subhashis Ghosal

We calculate Bayes factors to quantify how the feasibility of the constrained minimal supersymmetric standard model (CMSSM) has changed in the light of a series of observations. This is done in the Bayesian spirit where probability reflects…

High Energy Physics - Phenomenology · Physics 2015-06-05 Csaba Balázs , Andy Buckley , Daniel Carter , Benjamin Farmer , Martin White

Fitting high-dimensional statistical models often requires the use of non-linear parameter estimation procedures. As a consequence, it is generally impossible to obtain an exact characterization of the probability distribution of the…

Methodology · Statistics 2014-04-03 Adel Javanmard , Andrea Montanari

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

High Energy Physics - Phenomenology · Physics 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

Sampling one or more effective solutions from large search spaces is a recurring idea in machine learning, and sequential optimization has become a popular solution. Typical examples include data summarization, sample mining for predictive…