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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   +6 more sources

Theory of Probability and Mathematical Statistics [Theory of Probability and Mathematical Statistics]

open access: yes
«THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS» — рецензований міжнародний науковий журнал. Засновано 1970 Київським університетом імені Т. Шевченка з ініціативи А. Скорохода та М. Ядренка. У 2011—20 головним редактором був В. Королюк; від 2020 — Ю. Мішура. Нині видають двічі... ⚠️ Цей запис містить лише бібліографічні метадані.
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Mathematical theory of Bayesian statistics for unknown information source

open access: yesPhilosophical 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 ...
openaire   +3 more sources

Application of mathematical modeling in probability theory and mathematical statistics

open access: yesE3S 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
Egamov Mirshohid   +3 more
openaire   +2 more sources

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