Approximations to the Moments of Order Statistics for Normal Distribution [PDF]
Pakistan Journal of Statistics and Operation ResearchOrder statistics occupy an important place in statistical theory. They have an important place in many fields of applied statistics such as goodness of fit tests and parameter estimation.
Asuman Yılmaz, Mahmut Kara
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Exact distribution of spacing ratios for random and localized states in quantum chaotic systems. [PDF]
Physical Review E, 2017 Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra are modeled through an appropriate ensemble described by random matrix theory.
S. H. Tekur +2 more
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Extreme-value statistics of stochastic transport processes
New Journal of Physics, 2020 We derive exact expressions for the finite-time statistics of extrema (maximum and minimum) of the spatial displacement and the fluctuating entropy flow of biased random walks.
Alexandre Guillet +2 more
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Statistical Mechanics of Deep Linear Neural Networks: The Backpropagating Kernel Renormalization
Physical Review X, 2021 The groundbreaking success of deep learning in many real-world tasks has triggered an intense effort to theoretically understand the power and limitations of deep learning in the training and generalization of complex tasks, so far with limited progress.
Qianyi Li, Haim Sompolinsky
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Noncanonical statistics of a spin-boson model: theory and exact Monte Carlo simulations. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2012 Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid, and equilibrium quantum statistics of the system may be noncanonical.
Chee-Kong Lee, Jianshu Cao, J. Gong
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Model of contact friction based on extreme value statistics
Friction, 2018 We propose a model based on extreme value statistics (EVS) and combine it with different models for single-asperity contact, including adhesive and elasto-plastic contacts, to derive a relation between the applied load and the friction force on a rough ...
A. Malekan, S. Rouhani
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On the computation of the exact distribution of power divergence test statistics [PDF]
, 2003 summary:In this paper we introduce several algorithms to generate all the vectors in the support of a multinomial distribution. Computational studies are carried out to analyze their efficiency with respect to the CPU time and to calculate their ...
Morales, Domingo +2 more
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Stationary-State Statistics of a Binary Neural Network Model with Quenched Disorder
Entropy, 2019 In this paper, we study the statistical properties of the stationary firing-rate states of a neural network model with quenched disorder. The model has arbitrary size, discrete-time evolution equations and binary firing rates, while the topology and the ...
Diego Fasoli, Stefano Panzeri
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Statistics of base polytopes in F-theory [PDF]
Journal of High Energy PhysicsA bstract We propose a new statistical ensemble of toric bases for elliptic Calabi-Yaus used in F-theory models, by focusing on only the convex hull of the base, i.e., the base polytope.
Washington Taylor +2 more
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Basic Models for the Development of Inclusive Education in Moscow
Образование и наука, 2018 Introduction. The implementation of inclusive education in the Russian comprehensive schools is a multidimensional process followed by a complex of organisational and methodological problems.
M. R. Husnutdinova
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