Results 11 to 20 of about 5,262 (258)
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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Hausdorff moment problem via fractional moments [PDF]
Applied Mathematics and Computation, 2003 We outline an efficient method for the reconstruction of a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained resorting to maximum entropy technique, under the constraint of some fractional moments. The latter ones are obtained explicitly in terms of the infinite sequence of
Novi Inverardi, Pier Luigi +3 more
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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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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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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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Some Properties of Fractional Boas Transforms of Wavelets
Journal of Mathematics, 2021 In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments.
Nikhil Khanna +3 more
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A signal enhancement method based on the reverberation statistical information
EURASIP Journal on Advances in Signal Processing, 2022 This paper proposes a reverberation suppression algorithm utilizing fractional lower-order moments based on statistical properties. As fractional lower-order moments can only be applied on symmetric α-stable random variables, the energy redistribution ...
Ge Yu, Jiangjiang Sun, Xiukun Li
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