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ON GENERALISED TCHEBYCHEFF THEOREMS IN THE MATHEMATICAL THEORY OF STATISTICS [PDF]
Biometrika, 1919 n ...
Karl Pearson
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Mathematical theory of Bayesian statistics for unknown information source [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 In statistical inference, uncertainty is unknown and all models are wrong. That is to say, a person who makes a statistical model and a prior distribution is simultaneously aware that both are fictional candidates. To study such cases, statistical measures have been constructed, such as cross validation, information criteria and marginal likelihood ...
Sumio Watanabe
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Interfacing biology, category theory and mathematical statistics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2020 Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statistical tests that satisfy this principle to achieve the detection of a signal in noise.
Dominique Pastor +3 more
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On certain topics in the mathematical theory of statistics [PDF]
Bulletin of the American Mathematical Society, 1924 H. L. Rietz
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Application of mathematical modeling in probability theory and mathematical statistics
E3S Web of ConferencesIn this academic paper, the application of mathematical modeling in the fields of probability theory and mathematical statistics is rigorously explored. This study advocates for the integration of mathematical modeling into the pedagogical framework of these disciplines, proposing it as a strategic enhancement to traditional teaching methodologies. The
Mirshohid Egamov +3 more
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About the theory of probability and mathematical statistics
Historia Mathematica, 1978 Jerzy Neyman
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Mathematical Elements of Density Functional Theory [PDF]
, 2022 We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
Higher Topos Theory in Physics [PDF]
Encyclopedia of Mathematical Physics 2nd ed., Vol. 4 (2025) 62-76, 2023 A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
arxiv +1 more source
Experimental Mathematics and Mathematical Physics [PDF]
Contemp. Math. 517 (Amer. Math. Soc., 2010), 41--58, 2010 One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv +1 more source
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv