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Mathematical theory of Bayesian statistics for unknown information source [PDF]

open access: greenPhilosophical 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
openalex   +4 more sources

Application of mathematical modeling in probability theory and mathematical statistics

open access: diamondE3S Web of Conferences
In 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
openalex   +3 more sources

Interfacing biology, category theory and mathematical statistics [PDF]

open access: yesElectronic 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.
Pastor, Dominique   +3 more
openaire   +5 more sources

Probability Theory and Mathematical Statistics E-course in Nomotex DLS [PDF]

open access: diamond, 2020
Yu. I. Dimitrienko   +3 more
openalex   +1 more source

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