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Classical versus Bayesian Statistics
Philosophy of Science, 2020In 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
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States of Classical Statistical Mechanics
Journal of Mathematical Physics, 1967A state of an infinite system in classical statistical mechanics is usually described by its correlation functions. We discuss here other descriptions in particular: as (1) a state on a B* algebra; (2) a collection of density distributions; (3) a field theory; (4) a measure on a ``space of configurations of infinitely many particles.'' We consider the ...
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Classical model of intermediate statistics
Physical Review E, 1994In this work we present a classical kinetic model of intermediate statistics. In the case of Brownian particles we show that the Fermi-Dirac (FD) and Bose-Einstein (BE) distributions can be obtained, just as the Maxwell-Boltzmann (MB) distribution, as steady states of a classical kinetic equation that intrinsically takes into account an exclusion ...
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Classical Statistical Mechanics
1993Matter on the macroscopic scale always consists of a very large number of particles (atoms or molecules). The number of particles in the macroscopic volume element of a cubic meter or a liter is of the order of magnitude of 1023. It is self-evident that it makes no sense to try to write out and solve the equations of motion for this number of particles.
Josef Honerkamp, Hartmann Römer
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Classical Statistical Inference
2014This chapter introduces the main concepts of statistical inference, or drawing conclusions from data. There are three main types of inference: point estimation, confidence estimation, and hypothesis testing. There are two major statistical paradigms which address the statistical inference questions: the classical, or frequentist paradigm, and the ...
Željko Ivezi +7 more
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Classical Statistical Mechanics
2021This chapter focusses mainly upon the classical mechanical evaluation of the partition function for a gas of structureless atoms, and begins with a discussion of energy equipartition. The role of interatomic interactions is examined using the grand partition function, as it enables a more convenient separation of the roles played by kinetic and ...
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Quantum and classical statistics
Physics Letters A, 1988Abstract It is argued that the difference between particles obeying quantum and classical statistics lies not in the particles but in the single-particle states: quantum states are discrete and classical states are dense. The classical limit is the limit of the density of states becoming infinite, making the underlying quantum symmetries invisible ...
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1974
In an area where there is so much acknowledged turmoil, such outspoken disagreement, and in which so many divergent points of view are so strongly represented as in statistics today, it is almost anomalous to refer to one particular theory as the ‘classical’ one. It is the stranger to use this term, in that the theory to which it is applied may be said
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In an area where there is so much acknowledged turmoil, such outspoken disagreement, and in which so many divergent points of view are so strongly represented as in statistics today, it is almost anomalous to refer to one particular theory as the ‘classical’ one. It is the stranger to use this term, in that the theory to which it is applied may be said
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2018
The Thermodynamics, discussed in Vol. 5 of this basic course in Theoretical Physics, is a phenomenological theory, which, being based on a few fundamental postulates (laws of thermodynamics), describes macroscopic systems in equilibrium with the help of a few variables as, for instance, pressure, volume, temperature, particle density, … .
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The Thermodynamics, discussed in Vol. 5 of this basic course in Theoretical Physics, is a phenomenological theory, which, being based on a few fundamental postulates (laws of thermodynamics), describes macroscopic systems in equilibrium with the help of a few variables as, for instance, pressure, volume, temperature, particle density, … .
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Classical Statistical Inference
2017This chapter introduces the classical statistical approach for system identification in a general context. This is commonly referred as a ‘non-Bayesian’ approach and is currently the conventional perspective in operational modal analysis. Basic quantification of statistical estimators are presented and illustrated with examples.
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