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Asymptotic Theory and the Foundations of Statistics
Canadian Mathematical Bulletin, 1997AbstractStatistics in the 20th century has been enlivened by a passionate, occasionally bitter, and still vibrant debate on the foundations of statistics and in particular on Bayesian vs. frequentist approaches to inference. In 1975 D. V. Lindley predicted a Bayesian 21st century for statistics. This prediction has often been discussed since, but there
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The assumptions of the asymptotic method of a narrow reaction zone in a gas heating wave are considered. Using the known laws of heat and mass transfer in a gaseous medium in which chemical reactions can take place, it is proved that the assumptions of the narrow reaction zone method contradict the laws of conservation of energy and mass.
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An asymptotic theory for genetic algorithms
1996The Freidlin-Wentzell theory deals with the study of random perturbations of dynamical systems. We build several models of genetic algorithms by randomly perturbing simple processes. The asymptotic dynamics of the resulting processes is analyzed with the powerful tools developed by Freidlin and Wentzell and later by Azencott, Catoni and Trouve in the ...
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Asymptotic Conditions and Perturbation Theory
Physical Review, 1960The formulation of field theories based on few postulates but not using Lagrangian, Hamiltonian, or field equations has been investigated by many authors. In such a theory the coupled integral equations for Green's functions play the role of a substitute for field equations and serve to determine various physical quantities from the theory.
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Asymptotic Theory of Least Absolute Error Regression
Journal of the American Statistical Association, 1978Gilbert Bassett, Roger Koenker
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