Results 1 to 10 of about 231,507 (192)

Bayes' theorem and quantum retrodiction [PDF]

open access: green, 2000
We derive on the basis of Bayes' theorem a simple but general expression for the retrodicted premeasurement state associated with the result of any measurement.
Barnett, S.M., Jeffers, J., Pegg, D.T.
core   +4 more sources

Teaching Bayes' Theorem: strength of evidence as predictive accuracy [PDF]

open access: green, 2017
Although teaching Bayes’ theorem is popular, the standard approach—targeting posterior distributions of parameters—may be improved. We advocate teaching Bayes’ theorem in a ratio form where the posterior beliefs relative to the prior beliefs equals the ...
Morey, Richard D., Rouder, Jeffrey N.
core   +4 more sources

Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem [PDF]

open access: yes, 2010
This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish ...
Berger, James O., Scott, James G.
core   +2 more sources

Kolmogorov's axioms for probabilities with values in hyperbolic numbers [PDF]

open access: yes, 2015
We introduce the notion of a probabilistic measure which takes values in hyperbolic numbers and which satisfies the system of axioms generalizing directly Kolmogorov's system of axioms.
Alpay, Daniel   +2 more
core   +3 more sources

Bayesian Posteriors Without Bayes' Theorem [PDF]

open access: yes, 2012
The classical Bayesian posterior arises naturally as the unique solution of several different optimization problems, without the necessity of interpreting data as conditional probabilities and then using Bayes' Theorem.
Dall'Aglio, Marco, Hill, Theodore P.
core   +2 more sources

Posterior probability and fluctuation theorem in stochastic processes

open access: yes, 2009
A generalization of fluctuation theorems in stochastic processes is proposed. The new theorem is written in terms of posterior probabilities, which are introduced via the Bayes theorem.
Crooks G. E.   +21 more
core   +1 more source

Sharpening the Second Law of Thermodynamics with the Quantum Bayes' Theorem [PDF]

open access: yes, 2014
We prove a generalization of the classic Groenewold-Lindblad entropy inequality, combining decoherence and the quantum Bayes theorem into a simple unified picture where decoherence increases entropy while observation decreases it.
Gharibyan, Hrant, Tegmark, Max
core   +2 more sources

Bayesian Analysis of Many-Pole Fits of Hadron Propagators in Lattice QCD [PDF]

open access: yes, 1996
We use Bayes' probability theorem to analyze many-pole fits of hadron propagators. An alternative method of estimating values and uncertainties of the fit parameters is offered, which has certain advantages over the conventional methods.
Bretthorst   +6 more
core   +2 more sources

Quantum-correlation breaking channels, quantum conditional probability and Perron-Frobenius theory

open access: yes, 2013
Using the quantum analog of conditional probability and classical Bayes theorem we discuss some aspects of quantum-classical and classical-classical channels in connection to the recent paper J. Korbicz, P. Horodecki, and R.
Albeverio   +22 more
core   +1 more source

Universal efficiency at optimal work with Bayesian statistics

open access: yes, 2010
If the work per cycle of a quantum heat engine is averaged over an appropriate prior distribution for an external parameter $a$, the work becomes optimal at Curzon-Ahlborn efficiency.
E. T. Jaynes   +5 more
core   +1 more source

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