Results 11 to 20 of about 652,382 (290)
Fractional Moments. New Source of Information in Radiospectroscopy [PDF]
physica status solidi (b), 1986 AbstractA new fractional moments method for the absorption and dispersion curves in radiospectroscopy is suggested. The fractional moments solve the problem of moments existing in the mathematical statistics and enable one to restore the complex susceptibility ξ(ω) and the relaxation function Φ(t) completely.
Nigmatullin R., R. R. Nigmatullin
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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Fractional moments of the stochastic heat equation [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2021 Consider the solution $\mathcal{Z}(t,x)$ of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(0,x) = δ(x)$. For any real $p>0$, we obtained detailed estimates of the $p$-th moment of $e^{t/12}\mathcal{Z}(2t,0)$, as $t\to\infty$, and from these estimates establish ...
Das, Sayan, Tsai, Li-Cheng
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
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Some Useful Integral Representations for Information-Theoretic Analyses
Entropy, 2020 This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact formulas for ...
Neri Merhav, Igal Sason
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A New Set of 3D Shifted Fractional-Order Gegenbauer Descriptors for Volumetric Image Representation
Mathematics, 2022 Volumetric images have a three-dimensional (3D) view, in which viewers can examine their characteristics from any angle. The more accurate the digital representation of volumetric images, the more precise and valuable the assessment of what these images ...
Doaa Sami Khafaga +3 more
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On order Statistics from the Weibull Distribution [PDF]
The Egyptian Statistical Journal, 1996 This paper deals with some recurrence relations for negative and fractional moments of single order statistics and product and quotient moments of two order statistics drawn from Weibull distribution.
E. M. Nigm, H. M. EL-Hawary
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Novel Multi-Channel Fractional-Order Radial Harmonic Fourier Moments for Color Image Analysis
IEEE Access, 2020 The classical radial harmonic Fourier moments (RHFMs) and the quaternion radial harmonic Fourier moments (QRHFMs) are gray-scale and color image descriptors. The radial harmonic functions with integer orders are not able to extract fine features from the
Khalid M. Hosny +2 more
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Quaternion fractional-order color orthogonal moment-based image representation and recognition
EURASIP Journal on Image and Video Processing, 2021 Inspired by quaternion algebra and the idea of fractional-order transformation, we propose a new set of quaternion fractional-order generalized Laguerre orthogonal moments (QFr-GLMs) based on fractional-order generalized Laguerre polynomials.
Bing He +4 more
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Integral Transforms and Special Functions, 2022 We evaluate the moments of some functions composed with the fractional part of $1/x$. We name them fractional moments. In particular, we obtain expressions for the fractional moments of some trigonometric functions, the Bernoulli polynomials and the functions $x^m$ and $x^m(1-x)^m$.
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