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Large-scale randomized experiments, sometimes called A/B tests, are increasingly prevalent in many industries. Though such experiments are often analyzed via frequentist $t$-tests, arguably such analyses are deficient: $p$-values are hard…

Methodology · Statistics 2020-03-27 F. Richard Guo , James McQueen , Thomas S. Richardson

We consider an approach to the Hawking effect which is free of the asymptotic behavior of the metric or matter fields, and which is not confined to one specific metric configuration. As a result, we find that for a wide class of spacetime…

General Relativity and Quantum Cosmology · Physics 2009-01-27 Ari Peltola

Hawking radiation has been regarded as a more general phenomenon than in gravitational physics, in particular in laboratory analogs of the event horizon. Here we consider the fiber-optical analog of the event horizon, where intense light…

General Relativity and Quantum Cosmology · Physics 2016-06-08 David Bermudez , Ulf Leonhardt

We consider the Higgs boson decay processes and its production, and provide a parameterisation tailored for testing models of new physics beyond the Standard Model. We also compare our formalism to other existing parameterisations based on…

High Energy Physics - Phenomenology · Physics 2015-06-11 Giacomo Cacciapaglia , Aldo Deandrea , Guillaume Drieu La Rochelle , Jean-Baptiste Flament

It is often claimed that Bayesian methods, in particular Bayes factor methods for hypothesis testing, can deal with optional stopping. We first give an overview, using elementary probability theory, of three different mathematical meanings…

Statistics Theory · Mathematics 2021-03-24 Allard Hendriksen , Rianne de Heide , Peter Grünwald

We investigate the possibility of contributions from physics beyond the Standard Model (SM) to the Higgs couplings, in the light of the LHC data. The work is performed within an interim framework where the magnitude of the Higgs production…

High Energy Physics - Phenomenology · Physics 2015-10-02 Johannes Bergstrom , Stella Riad

We use a method recently introduced in Barcel\'o et al (2011 Phys. Rev. D 83 41501), to analyse Hawking radiation in a Schwarzschild black hole as perceived by different observers in the system. The method is based on the introduction of an…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Luis C. Barbado , Carlos Barceló , Luis J. Garay

It has been proposed that the entropy of any object must satisfy fundamental (holographic or Bekenstein) bounds set by the object's size and perhaps its energy. However, most discussions of these bounds have ignored the possibility that…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Rafael Sorkin

A detailed and formal account of polarization measurements using Bayesian analysis is given based on the assumption of gaussian error for the Stokes parameters. This analysis is crucial for the measurement of the polarization degree and…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Jason L. Quinn

This article gives a survey of the e-value, a statistical significance measure a.k.a. the evidence rendered by observational data, X, in support of a statistical hypothesis, H, or, the other way around, the epistemic value of H given X. The…

Methodology · Statistics 2020-04-29 Julio Michael Stern , Carlos Alberto de Braganca Pereira

We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to the inverse temperature in thermodynamics. In the end of the…

High Energy Physics - Theory · Physics 2021-06-02 Kohki Kawabata , Tatsuma Nishioka , Yoshitaka Okuyama , Kento Watanabe

The paper analizes a set of issues related to analogy and analogical reasoning, namely: 1) The problem of analogy and its duplicity; 2) The role of analogy in demonstrative reasoning; 3) The role of analogy in non-demonstrative reasoning;…

History and Overview · Mathematics 2008-10-29 Emiliano Ippoliti

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

Applications · Statistics 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

Acoustic waves in fluids undergoing the transition from sub- to supersonic flow satisfy governing equations similar to those for light waves in the immediate vicinity of a black hole event horizon. This acoustic analogy has been used by…

Fluid Dynamics · Physics 2015-09-30 Eugene R. Tracy , Dmitriy Zhigunov

This paper extends the work of Clarke [1] on the Bayesian foundations of the biomagnetic inverse problem. It derives expressions for the expectation and variance of the a posteriori source current probability distribution given a prior…

Medical Physics · Physics 2009-10-31 R. Hasson , S. J. Swithenby

We address the problem of reconstructing quantum theory from the perspective of an agent who makes bets about the outcomes of possible experiments. We build a general Bayesian framework that can be used to organize the agent's beliefs and…

Quantum Physics · Physics 2020-10-28 Giulio Chiribella , Adán Cabello , Matthias Kleinmann , Markus P. Müller

A comment by R. Schutzhold et al. raises possible concerns and questions regarding recent measurements of analogue Hawking radiation. We briefly reply to the opinions expressed in the comment and sustain that the origin of the radiation may…

Quantum Physics · Physics 2015-05-20 F. Belgiorno , S. L. Cacciatori , M. Clerici , V. Gorini , G. Ortenzi , L. Rizzi , E. Rubino , V. G. Sala , D. Faccio

In this work we explore the limitations and robustness of thermal radiation in dynamical Casimir systems serving as analogs for Hawking radiation. Through detailed numerical analysis, we characterize particle production spectra in cavities…

Quantum Physics · Physics 2025-07-21 Alberto García Martín-Caro , Javier Olmedo , Jose M. Sánchez Velázquez

While quantum field theory could more aptly be called the "quantum field framework" $-$ as it encompasses a vast variety of varying concepts and theories $-$ in comparison, relativity, both special and general, is more commonly portrayed as…

General Relativity and Quantum Cosmology · Physics 2019-06-27 Sebastian Schuster , Matt Visser

This report introduces general ideas and some basic methods of the Bayesian probability theory applied to physics measurements. Our aim is to make the reader familiar, through examples rather than rigorous formalism, with concepts such as:…

Data Analysis, Statistics and Probability · Physics 2009-11-10 G. D'Agostini
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