Results 11 to 20 of about 194,841 (270)
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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International Symposium on Information Theory, 2016 Given a probability distribution p = (p1., pn) and an integer m < n, what is the probability distribution q = (q1., qm) that is 'the closest' to p, that is, that best approximates p?
F. Cicalese, L. Gargano, U. Vaccaro
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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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Generating negations of probability distributions
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2021 Recently, the notation of a negation of a probability distribution was introduced. The need for such negation arises when a knowledge-based system can use the terms like NOT HIGH, where HIGH is represented by a probability distribution (pd). For example,
I. Batyrshin +4 more
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Limit theorems in bi-free probability theory [PDF]
Probability theory and related fields, 2017 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.
Takahiro Hasebe +2 more
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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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Evaluating probabilistic forecasts of extremes using continuous ranked probability score distributions [PDF]
International Journal of Forecasting, 2019 Verification of ensemble forecasts for extreme events remains a challenging question. The general public as well as the media naturely pay particular attention on extreme events and conclude about the global predictive performance of ensembles, which are
Maxime Taillardat +3 more
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Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability [PDF]
Theoretical Computer Science, 2020 Markov categories are a recent categorical approach to the mathematical foundations of probability and statistics. Here, this approach is advanced by stating and proving equivalent conditions for second-order stochastic dominance, a widely used way of ...
T. Fritz +3 more
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Pakistan Journal of Statistics and Operation Research, 2018 In this paper, we propose a new method for generating families of continuous distributions based on the star-shaped property which grantees the existences of some well know properties for the generated classes and distributions for any non-negative random variables. We refer to the new class as the composed family or shortly ( ) family.
Ahmed A. Fattah, A-Hadi N. Ahmed
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