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About 10,000 papers for “classical statistics”

CLASSICAL STATISTICS

Bertrand Iooss, Michel Marquès (cea, Ine Marrel (ifp et al. · 2010

Uncertainty management in computer experiments Focus on sensivity analysis with functional output variables

Cited by 0

Classical Statistics

George Gabor · 2014

Of all fields of scientific endeavor the one that is most bewitched by its own language is classical statistics.

Cited by 0

Fermions from classical statistics

Wetterich, C. · arXiv (Cornell University) · 2010

We describe fermions in terms of a classical statistical ensemble. The states $τ$ of this ensemble are characterized by a sequence of values one or zero or a corresponding set of two-level observables. Every classical probability distribution can be associated to a quantum state for fermions. If the time evolution of the classical probabilities $p_τ$ amounts to a rotation of the wave function $q_τ(t)=\pm \sqrt{p_τ(t)}$, we infer the unitary time evolution of a quantum system of fermions according to a Schrödinger equation. We establish how such classical statistical ensembles can be mapped to Grassmann functional integrals. Quantum field theories for fermions arise for a suitable time evolution of classical probabilities for generalized Ising models.

Cited by 0Open access

Classical Frequentist Statistics: Counterpoint

William M. Briggs · Academic Questions · 2025

The Spring 2025 issue of Academic Questions contained a review by William M. Briggs suggesting that social scientists discard “frequentist” statistics, which in his view has badly degraded the credibility of scientific research. Here, physician and medical researcher Dr. Ernest B. Hook writes to defend frequentist or “classical” statistics, and Mr. Briggs provides a response.

Cited by 0

Classical versus Bayesian Statistics

Eric Johannesson · Philosophy of Science · 2019

In statistics, there are two main paradigms: classical and Bayesian statistics. The purpose of this article is to investigate the extent to which classicists and Bayesians can (in some suitable sense of the word) agree. My conclusion is that, in certain situations, they cannot. The upshot is that, if we assume that the classicist is not allowed to have a higher degree of belief (credence) in a null hypothesis after he has rejected it than before, then (in certain situations) he has to either have trivial or incoherent credences to begin with or fail to update his credences by conditionalization.

Cited by 4Open access

Classical Frequentist Statistics: Point

Ernest B. Hook · Academic Questions · 2025

The Spring 2025 issue of Academic Questions contained a review by William M. Briggs suggesting that social scientists discard “frequentist” statistics, which in his view has badly degraded the credibility of scientific research. Here, physician and medical researcher Dr. Ernest B. Hook writes to defend frequentist or “classical” statistics, and Mr. Briggs provides a response.

Cited by 0

Evidence in Classical Statistics

Samuel C. Fletcher, Conor Mayo‐Wilson · 2023

The dominance of classical statistics raises a puzzle for epistemologists. On one hand, science is a paradigmatic source of good evidence, with quantitative experimental science often described in classical statistical terms. On the other, its hybrid of Fisherian and Neyman–Pearsonian techniques is generally rejected by philosophers, statisticians, and scientists who study the foundations of statistics. So why is the use of classical statistics in empirical science so epistemically successful? Do classical measures of evidence actually measure anything epistemically important? This chapter provides some positive answers to these questions, drawing analogies with modal principles used in sophisticated tracking theories of knowledge.

Cited by 1

A Classical Fall Statistics Problem

Meyer, Timothy · Insecta mundi · 2023

An evaluation of traditional baseball measures and suggestions for alternatives, centering on statistics related to the offensive quality of a player.

Cited by 0

Quantum correlations in classical statistics

Wetterich, C. · arXiv (Cornell University) · 2002

Quantum correlations can be naturally formulated in a classical statistical system of infinitely many degrees of freedom. This realizes the underlying non-commutative structure in a classical statistical setting. We argue that the quantum correlations offer a more robust description with respect to the precise definition of observables.

Cited by 0Open access

Geometrical Statistics--Classical and Quantum

Bengtsson, Ingemar · arXiv (Cornell University) · 2005

This is a review of the ideas behind the Fisher--Rao metric on classical probability distributions, and how they generalize to metrics on density matrices. As is well known, the unique Fisher--Rao metric then becomes a large family of monotone metrics. Finally I focus on the Bures--Uhlmann metric, and discuss a recent result that connects the geometric operator mean to a geodesic billiard on the set of density matrices.

Cited by 0Open access

Exclusion Statistics in Classical Mechanics

Tony Hansson, Sergei Isakov, Jon Magne Leinaas et al. · ArXiv.org · 2000

We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistical mechanics can be interpreted as a classical version of Haldane's exclusion statistics.

Cited by 2Open access

CLASSICAL TOPOLOGY AND QUANTUM STATISTICS

A. P. Balachandran · International Journal of Modern Physics B · 1991

We review the theory of statistics of identical systems in terms of the properties of the classical configuration space. Special emphasis is placed on the influence of the connectivity of this space on quantum statistics. The theory shows that exotic statistical systems, such as those obeying fractional statistics, can occur in all dimensions. Particle statistics in one dimension involves novel features particular to this dimension and these are briefly described. The proof of a topological spin-statistics theorem which avoids field theory or relativity is also outlined.

Cited by 17