Interfacing biology, category theory and mathematical statistics [PDF]
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
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«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
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 ...
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ON GENERALISED TCHEBYCHEFF THEOREMS IN THE MATHEMATICAL THEORY OF STATISTICS [PDF]
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Application of mathematical modeling in probability theory and mathematical statistics
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
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Laplace Transform-Based Nonparametric Test of Exponentiality against DMRL class with preservation under the Homogeneous Poisson Shock Model and applications in survival analysis and reliability. [PDF]
El-Atfy ES +5 more
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An Association Among Problematic Smartphone Use, Sleep Quality, Behavioral Engagement and Academic Achievements: A Multiple Mediation Model Based on Large-Scale Data. [PDF]
Zhou D, Liu S, Liu J, Li H, Ma Y.
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The impact of the mathematical adversity quotient on preparatory students' mathematics learning engagement: moderated mediation effect analysis. [PDF]
Liu J, Sun Y, Li Y.
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Outcome-based education and student learning in probability and statistics: the mediating roles of engagement and self-efficacy in a new liberal arts context. [PDF]
Zhao X, Ding H, Wu X, Sam TH, Jaya J.
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The role of Self Determination Theory and positive classroom experiences in students' mathematics outcomes. [PDF]
Santiago IM, Fox MR, Scalise NR.
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