Results 21 to 30 of about 19,305 (308)
Study of a Fractional Integral Formula Involving Fractional Exponential Function [PDF]
, 2023 : In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we obtain a fractional integral formula involving fractional exponential function.
Chii-Huei Yu
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IEEE Access, 2020 Fault diagnosis of rolling bearing has been the focus of research. Bearing signals are often accompanied by similar information, resulting in redundancy between data.
Mei Ying Qiao +3 more
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Ramanujan’s approximation to the exponential function and generalizations
The Ramanujan Journal, 2023 18 pages, 1 ...
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The curved exponential family of a staged tree [PDF]
, 2022 Staged tree models are a discrete generalization of Bayesian networks. We show that these form curved exponential families and derive their natural parameters, sufficient statistic, and cumulant-generating function as functions of their graphical ...
Leonelli, Manuele, +2 more
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Fractional calculus approach to study temperature distribution within a spinning satellite
Alexandria Engineering Journal, 2016 This paper deals with the temperature distribution within spinning satellites and problem is formulated in terms of fractional differential equation.
Jyotindra C. Prajapati +2 more
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Time domain characterization of the Cole-Cole dielectric model
Journal of Electrical Bioimpedance, 2020 The Cole-Cole model for a dielectric is a generalization of the Debye relaxation model. The most familiar form is in the frequency domain and this manifests itself in a frequency dependent impedance.
Holm Sverre
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Exponential arcs in manifolds of quantum states
Frontiers in Physics, 2023 The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative entropy/divergence function is assumed to be given. It
Jan Naudts
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Generalized Probability Functions
Advances in Mathematical Physics, 2009 From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function.
Alexandre Souto Martinez +2 more
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Estimation in functional regression for general exponential families [PDF]
The Annals of Statistics, 2012 This paper studies a class of exponential family models whose canonical parameters are specified as linear functionals of an unknown infinite-dimensional slope function. The optimal minimax rates of convergence for slope function estimation are established.
Dou, Winston Wei +2 more
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Copulas for statistical signal processing (Part I) : extensions and generalization [PDF]
, 2014 Existing works on multivariate distributions mainly focus on limited distribution functions and require that the associated marginal distributions belong to the same family. Although this simplifies problems, it may fail to deal with practical cases when
Wang, Zheng +4 more
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