Results 11 to 20 of about 176,395 (225)
Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
V. E. Tarasov
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General Nonlocal Probability of Arbitrary Order
Entropy, 2023 Using the Luchko’s general fractional calculus (GFC) and its extension in the form of the multi-kernel general fractional calculus of arbitrary order (GFC of AO), a nonlocal generalization of probability is suggested. The nonlocal and general fractional (
V. E. Tarasov
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Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis [PDF]
Communications in Applied Mathematics and Computational Science, 2020 We propose and compare methods for the estimation of extreme event probabilities in complex systems governed by PDEs. Our approach is guided by ideas from large deviation theory (LDT) and borrows tools from PDE-constrained optimization. The systems under
Shanyin Tong +2 more
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Probability distributions for the stress tensor in conformal field theories [PDF]
Letters in Mathematical Physics, 2018 The vacuum state—or any other state of finite energy—is not an eigenstate of any smeared (averaged) local quantum field. The outcomes (spectral values) of repeated measurements of that averaged local quantum field are therefore distributed according to a
C. Fewster, S. Hollands
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Field Theories for Learning Probability Distributions. [PDF]
Physical Review Letters, 1996 Imagine being shown $N$ samples of random variables drawn independently from the same distribution. What can you say about the distribution? In general, of course, the answer is nothing, unless you have some prior notions about what to expect.
William Bialek, C. Callan, S. P. Strong
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Superpositions of probability distributions. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2008 Probability distributions which can be obtained from superpositions of Gaussian distributions of different variances v=sigma;{2} play a favored role in quantum theory and financial markets.
P. Jizba, H. Kleinert
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Statistical Theory on the Functional Form of Cloud Particle Size Distributions
Journal of the Atmospheric Sciences, 2018 Several functional forms of cloud particle size distributions (PSDs) have been used in numerical modeling and remote sensing retrieval studies of clouds and precipitation, including exponential, gamma, lognormal, and Weibull distributions.
Wei Wu, G. McFarquhar
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Authentication and secrecy codes for equiprobable source probability distributions [PDF]
2009 IEEE International Symposium on Information Theory, 2009 We give new combinatorial constructions for codes providing authentication and secrecy for equiprobable source probability distributions. In particular, we construct an infinite class of optimal authentication codes which are multiple-fold secure against
Michael Huber
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Nature, 2021 PARTS III. and IV. of the twelfth volume of “Biometrika” contain papers of interest to all classes of statistician. Those especially attracted by work on the general mathematical theory of probability will welcome the continuation of Prof.
Douglas A. Abraham
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Degree distributions in recursive trees with fitnesses [PDF]
Advances in Applied Probability, 2020 We study a general model of recursive trees where vertices are equipped with independent weights and at each time-step a vertex is sampled with probability proportional to its fitness function, which is a function of its weight and degree, and connects ...
Tejas Iyer
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