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Fractional moments of low order for scintillation statistics
SPIE Proceedings, 1999Use of fractional moments of low order is here proposed for processing data of intensity fluctuations from optical atmospheric propagation measurements. In this paper we check the accuracy of low order moment estimation and their ability to discriminate which one, among a number of candidate theoretical distributions, better represents the experimental
Claudia Innocenti +2 more
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Asymptotic Behavior for High Moments of the Fractional Heat Equation with Fractional Noise
Journal of Theoretical Probability, 2019The authors investigate the large time behavior of the solution to the fractional heat equation involving the fractional Laplacian and the noise which is represented by a \(d\)-parameter fractional Brownian sheet, possibly, with different Hurst indices belonging to the interval \((1/2,1)\).
Yan, Litan, Yu, Xianye
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Fractional moments of automorhic L-FUNCTIONS. II
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical inversion of the Laplace transform via fractional moments
Applied Mathematics and Computation, 2003A method for the numerical inversion of the Laplace transform on the real line of a heavy-tailed density function is presented. The Laplace transform inversion leads to a generalized finite Hausdorff moment problem \[ F(s_j)= \int^1_0 x^{\alpha_j}\psi(x) dx,\quad j=1,\dots, m \] in a new variable \(x\in [0,1]\). The method assumes as known a finite set
Y. VELASQUEZ, Tagliani, Aldo
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Moments for Tempered Fractional Advection-Diffusion Equations
Journal of Statistical Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the proximity of distributions in terms of coinciding fractional moments
Applied Mathematics and Computation, 2003The purpose of the paper is to investigate the following question: If there are assigned fixed values of \(M\) fractional moments of a probability distribution on \([0,+\infty)\), how close are all the probability measures sharing the same \(M\) moments?
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Self-similarity: from Classical Statistical Moments to Complex Fractional Moments
Random processes can be fully characterized within a probabilistic framework at each time instant by their probability density function or, equivalently, by the characteristic function. Although statistical moments of integer order are related to the coefficients of the Taylor expansion of the characteristic function, they are insufficient for a ...Russotto, Salvatore +2 more
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Some aspects of fractional-order circular moments for image analysis
Pattern Recognition Letters, 2021Cesar Camacho-Bello +1 more
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New fractional-order Legendre-Fourier moments for pattern recognition applications
Pattern Recognition, 2020Khalid Hosny +2 more
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