Limit theorems in bi-free probability theory
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DOI: 10.1007/s00440-017-0825-6
Abstract: In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of self-adjoint commuting random variables in an infinitesimal triangular array are determined. These… read more here.
Keywords: probability; theory; limit theorems; theorems free ... See more keywords
Can probability theory explain why closure is both intuitive and prone to counterexamples
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DOI: 10.1007/s11098-017-0952-z
Abstract: Epistemic closure under known implication is the principle that knowledge of \(\varphi\) and knowledge of \(\varphi \rightarrow \psi\), together, imply knowledge of \(\psi\). This principle is intuitive, yet several putative counterexamples have been formulated against… read more here.
Keywords: strategy; closure intuitive; probability theory; probability ... See more keywords
Application of probability theory to neonatal cardiac evaluation.
Sign Up to like & getrecommendations! Published in 2022 at "Cardiology in the young"
DOI: 10.1017/s104795112200097x
Abstract: Based on probability theory, a methodology that allows diagnosing neonatal cardiac dynamics was previously developed; however, diagnostic applications of this method are required to validate it to the neonatal cardiac dynamics was conducted, allowing to… read more here.
Keywords: methodology; probability theory; neonatal cardiac; probability ... See more keywords
Probability theory of active suspensions
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DOI: 10.1063/5.0047227
Abstract: A new approach to studying active suspensions is presented. They exhibit a specific behavior pattern, sometimes referred to as active turbulence. Starting from first principles, we establish a description for an active suspension, consisting of… read more here.
Keywords: probability; active suspensions; theory active; approach ... See more keywords
Big Data in Omics and Imaging: Integrated Analysis and Causal Inference.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the American Statistical Association"
DOI: 10.1080/01621459.2020.1721249
Abstract: three areas mentioned in the book’s subtitle: Probability theory (including random variables and vectors but largely neglecting the matrices), stochastic processes (including stochastic integrals and differential equations) and (additionally) statistical inference. The author bases his… read more here.
Keywords: book; chapter; probability theory; inference ... See more keywords
On Zadeh's problem in probability theory
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DOI: 10.1080/03081079.2018.1494734
Abstract: ABSTRACT We pay tribute to Lotfi Zadeh, a long-term member of the editorial board of this journal, by drawing attention to his challenges to classical probability theory. In particular, we consider the following problem: Probably… read more here.
Keywords: probability john; probability theory; probability; zadeh ... See more keywords
Data-Driven Fuzzy Modeling Using Restricted Boltzmann Machines and Probability Theory
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2018.2812156
Abstract: Fuzzy modeling has many advantages over nonfuzzy methods, such as robustness with respect to uncertainties and less sensitivity to the varying dynamics of nonlinear systems. Data-driven fuzzy modeling needs to extract fuzzy rules from input… read more here.
Keywords: probability theory; probability; fuzzy modeling; data driven ... See more keywords
Probability Theory as a Physical Theory Points to Superdeterminism
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DOI: 10.3390/e21090848
Abstract: Probability theory as a physical theory is, in a sense, the most general physics theory available, more encompassing than relativity theory and quantum mechanics, which comply with probability theory. Taking this simple fact seriously, I… read more here.
Keywords: theory physical; theory; superdeterminism; probability theory ... See more keywords