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We analyze optical EPR experimental data performed by Weihs et al in Innsbruck 1997-1998. We show that for some linear combinations of the raw coincidence rates, the experimental results display some anomalous behavior that a more general…

Quantum Physics · Physics 2007-09-08 Guillaume Adenier , Andrei Yu. Khrennikov

Data sets produced by three different Einstein-Podolsky-Rosen-Bohm (EPRB) experiments are tested against the hypothesis that the statistics of this data is described by quantum theory. Although these experiments generate data that violate…

Quantum Physics · Physics 2013-12-24 H. De Raedt , F. Jin , K. Michielsen

Data produced by laboratory Einstein-Podolsky-Rosen-Bohm (EPRB) experiments is tested against the hypothesis that the statistics of this data is given by quantum theory of this thought experiment. Statistical evidence is presented that the…

Quantum Physics · Physics 2015-06-03 H. De Raedt , K. Michielsen , F. Jin

In spite of many attempts, no local realistic model seems to be able to reproduce EPR-Bell type correlations, unless non ideal detection is allowed. The low efficiency of detectors in all experiments with photons makes the use of the fair…

Quantum Physics · Physics 2007-05-23 Guillaume Adenier , Andrei Khrennikov

In the experimental verification of Bell's inequalities in real photonic experiments, it is generally believed that the so-called fair sampling assumption (which means that a small fraction of results provide a fair statistical sample) has…

Quantum Physics · Physics 2007-05-23 Afshin Shafiee , Mehdi Golshani

Almost all Bell-inequality experiments to date have used postselection, and therefore relied on the fair sampling assumption for their interpretation. The standard form of the fair sampling assumption is that the loss is independent of the…

Quantum Physics · Physics 2010-01-29 Dominic W. Berry , Hyunseok Jeong , Magdalena Stobinska , Timothy C. Ralph

Wood and Spekkens (2015) argue that any causal model explaining the EPRB correlations and satisfying no-signalling must also violate the assumption that the model faithfully reproduces the statistical dependences and independences---a…

Quantum Physics · Physics 2023-06-27 Peter W. Evans

Thanks to its immunity to the detection loophole, the Clauser-Horne/Eberhard inequality plays an important role in tests of locality and in certification of quantum information protocols based on entanglement. I describe a local model that…

Quantum Physics · Physics 2016-07-01 Donald A. Graft

We propose here an experimental test of the fair sampling assumption in two-channel EPR-Bell experiments for which the detection loophole holds.

Quantum Physics · Physics 2007-05-23 Guillaume Adenier , Andrei Yu. Khrennikov

The Poisson probability distribution is frequently encountered in physical science measurements. In spite of the simplicity and familiarity of this distribution, there is considerable confusion among physicists concerning the description of…

Data Analysis, Statistics and Probability · Physics 2026-04-22 Frank C. Porter

This paper is devoted to establishing exponential bounds for the probabilities of deviation of a sample sum from its expectation, when the variables involved in the summation are obtained by sampling in a finite population according to a…

Statistics Theory · Mathematics 2016-10-13 Patrice Bertail , Stephan Clémençon

Chi-squared tests for lack of fit are traditionally employed to find evidence against a hypothesized model, with the model accepted if the Karl Pearson statistic comparing observed and expected numbers of observations falling within cells…

Statistics Theory · Mathematics 2021-12-20 Robert G. Staudte

Device-independent certifications employ Bell tests to guarantee the proper functioning of an apparatus from the sole knowledge of observed measurement statistics, i.e. without assumptions on the internal functioning of the devices. When…

Quantum Physics · Physics 2020-03-04 Davide Orsucci , Jean-Daniel Bancal , Nicolas Sangouard , Pavel Sekatski

Quantum mechanics stands in conflict with local realism only in its treatment of separated systems. A modification of quantum mechanics that changes the handling of separated systems is suggested that can reconcile quantum mechanics with…

Quantum Physics · Physics 2014-09-23 Donald A. Graft

Quantum filtering is a signal processing technique that estimates the posterior state of a quantum system under continuous measurements and has become a standard tool in quantum information processing, with applications in quantum state…

Quantum Physics · Physics 2014-08-19 Mankei Tsang

We demonstrate that the EPR-Bohm probabilities can be easily obtained in the classical (but contextual) probabilistic framework by using the formula of interference of probabilities. From this point of view the EPR-Bell experiment is just…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

Population dynamics models play an important role in a number of fields, such as actuarial science, demography, and ecology, as they help explain past fluctuations and predict future population. The accuracy of these models is often…

Methodology · Statistics 2025-11-06 Paolo Onorati , Sofia Ruiz-Suarez , Radu Craiu

We study the normal mean inference problem, which involves simultaneous testing of the means of many normal distributions. This problem has been extensively studied within the empirical Bayes (EB) framework. However, the reliability of most…

Methodology · Statistics 2026-04-03 Kwangok Seo , Johan Lim

Using techniques from Poisson approximation, we prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the joint distribution of pattern occurrences…

Combinatorics · Mathematics 2023-06-22 Harry Crane , Stephen DeSalvo

In a recent paper `The equi-energy sampler with applications statistical inference and statistical mechanics' [Ann. Stat. 34 (2006) 1581--1619], Kou, Zhou & Wong have presented a new stochastic simulation method called the equi-energy (EE)…

Computation · Statistics 2007-11-02 Christophe Andrieu , Ajay Jasra , Arnaud Doucet , Pierre Del Moral
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