## 5 Citations

### Exploring Biased Probability Using Loaded Dice: An Active Learning Exercise with Analogy to Entropic and Energetic Determinants of Equilibria in Chemical Systems

- PhysicsJournal of Chemical Education
- 2019

The equilibrium position of a chemical system is based on two distinct considerations, namely, the entropy and enthalpy differences between the states. Loaded dice provide a physical system for…

### Bargaining with entropy and energy

- EconomicsArXiv
- 2019

This work predicts thermalization of a non-equilibrium statistical system employing the axiom of affine covariance related to the freedom of changing initial points and dimensions for entropy and energy together with the contraction invariance of the entropy-energy diagram.

### Observational nonidentifiability, generalized likelihood and free energy

- MathematicsInt. J. Approx. Reason.
- 2020

### Geometric probability theory and Jaynes’s methodology

- Mathematics
- 2016

We provide a generalization of the approach to geometric probability advanced by the great mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical theories. In…

## References

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Probabilities may be subjective or objective; we are concerned with both kinds of probability, and the relationship between them. The fundamental theory of objective probability is quantum mechanics:…

### Updating, supposing, and maxent

- Philosophy
- 1987

ConclusionThe philosophical controversy concerning the logical status of MAXENTmay be in large measure due to the conflation of two distinct logical roles:(1) A general inductive principle for…

### Maximum entropy and Bayesian data analysis: Entropic prior distributions.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

The method of maximum (relative) entropy (ME) is used to translate the information contained in the known form of the likelihood into a prior distribution for Bayesian inference.

### Jaynes's maximum entropy prescription and probability theory

- Mathematics
- 1971

Jaynes's prescription of maximizing the information-theoretic entropy is applied in a special situation to determine a certain set of posterior probabilities (when evidence fixing the expected value…

### Information Theory and Statistical Mechanics

- Physics
- 1957

Treatment of the predictive aspect of statistical mechanics as a form of statistical inference is extended to the density-matrix formalism and applied to a discussion of the relation between…

### On the relation between plausibility logic and the maximum-entropy principle: a numerical study

- PhilosophyArXiv
- 2009

A numerical collection of plausibility distributions given by the maximum-entropy principle and by plausibility logic for a set of fifteen simple problems: throwing dice.

### Probability, Information and Entropy

- Computer ScienceNature
- 1970

The claim that information theory provides a foundation for statistical thermodynamics which is independent of the use of ensembles can be sustained only if probabilities can be determined…

### Entropy and Uncertainty

- Computer ScienceEntropy
- 2008

We give a survey of the basic statistical ideas underlying the definition of entropy in information theory and their connections with the entropy in the theory of dynamical systems and in statistical…