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Classical Statistical Inference

2014
This 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 Physics

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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Classical Statistical Mechanics

1981
Statistical mechanics is the bridge between molecular science and continuum mechanics. The input to statistical mechanics is a force law between particles. The particles can be atoms in a crystal, molecules in a gas or liquid, electrons in a plasma, amino acid units in a protein, elementary constituents in a complex polymer, etc.
James Glimm, Arthur Jaffe
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Classical Statistical Mechanics

2022
Pranab Sarkar   +1 more
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Distributionally Robust Optimization and Robust Statistics

Statistical Science
We review distributionally robust optimization (DRO), a principled approach for constructing statistical estimators that hedge against the impact of deviations in the expected loss between the training and deployment environments.
José H. Blanchet   +3 more
semanticscholar   +1 more source

Classical Statistical Theory

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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A Theoretical Review of Modern Robust Statistics

Annual Review of Statistics and Its Application
Robust statistics is a fairly mature field that dates back to the early 1960s, with many foundational concepts having been developed in the ensuing decades. However, the field has drawn a new surge of attention in the past decade, largely due to a desire
Po-Ling Loh
semanticscholar   +1 more source

Classical Statistical Inference

2017
This 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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Classical Statistical Mechanics

2003
Some aspects of statistical mechanics that are particularly important for computer simulation approaches are recalled. Using Ising and classical Heisenberg models as examples, various statistical ensembles and appropriate thermodynamic potentials are introduced, and concepts such as Legendre transformations between ensembles and the thermodynamic ...
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