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Systems of random variables and the free will theorem [PDF]
Physical Review Research, 2020 The title refers to the free will theorem by Conway and Kochen whose flashy formulation is as follows: If experimenters possess free will, then so do particles. In more modest terms, the theorem says that individual pairs of spacelike separated particles
Ehtibar N. Dzhafarov, Janne V. Kujala
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On the Lukacs property for free random variables [PDF]
Studia Mathematica, 2014 The Lukacs property of the free Poisson distribution is studied here. We prove that if free $\X$ and $\Y$ are free Poisson distributed with suitable parameters, then $\X+\Y$ and $\left(\X+\Y\right)^{-\frac{1}{2}}\X\left(\X+\Y\right)^{-\frac{1}{2}}$ are ...
Szpojankowski, Kamil
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Correlation characteristics assessment of construction products reliability parameters [PDF]
E3S Web of Conferences, 2021 Since the reliability of construction products, by definition, is a probability of failure-free operation, then to assess the correlation characteristics between the parameters of the reliability of construction products that are not observed at the same
Chiganova Nadezhda
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Random survival forest in determination of important risk factors on overall survival and disease-free survival in gastric cancer patients [PDF]
World Cancer Research Journal, 2023 Objective: Although the incidence of stomach cancer is decreasing in the world, its incidence is still high in Iran. Despite different treatments for cancer, disease recurrence, and death may occur in some patients.
M. Safari +5 more
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Anti-concentration of random variables from zero-free regions
Discrete Analysis, 2022 Anti-concentration of random variables from zero-free regions, Discrete Analysis 2022:13, 29 pp. In recent years there have been a number of breakthroughs concerning the probability that a random matrix is singular. There are several natural notions of "
Marcus Michelen, Julian Sahasrabudhe
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Approximate Bayesian Computation for Discrete Spaces
Entropy, 2021 Many real-life processes are black-box problems, i.e., the internal workings are inaccessible or a closed-form mathematical expression of the likelihood function cannot be defined.
Ilze A. Auzina, Jakub M. Tomczak
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Beyond islands: a free probabilistic approach
Journal of High Energy Physics, 2023 We give a free probabilistic proposal to compute the fine-grained radiation entropy for an arbitrary bulk radiation state, in the context of the Penington-Shenker-Stanford-Yang (PSSY) model where the gravitational path integral can be implemented with ...
Jinzhao Wang
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A matrix interpolation between classical and free max operations: I. The univariate case [PDF]
, 2009 Recently, Ben Arous and Voiculescu considered taking the maximum of two free random variables and brought to light a deep analogy with the operation of taking the maximum of two independent random variables. We present here a new insight on this analogy:
A.W. Vaart van der +11 more
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Extreme statistics of the excitations in the random transverse Ising chain
Physical Review Research, 2021 In random quantum magnets, like the random transverse Ising chain, low energy excitations are localized in rare regions and there are only weak correlations between them.
István A. Kovács +2 more
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Functional random forests for curve response
Scientific Reports, 2021 The rapid advancement of functional data in various application fields has increased the demand for advanced statistical approaches that can incorporate complex structures and nonlinear associations.
Guifang Fu, Xiaotian Dai, Yeheng Liang
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