1,722,454 research outputs found
Fox-H Densities and Completely Monotone Generalized Wright Functions
No full textDue to their flexibility, Fox-H functions are widely studied and applied to many research topics, such as astrophysics, statistical mechanics, and probability. Well-known special cases of Fox-H functions, such as Mittag-Leffler and Wright functions, find a wide application in the theory of stochastic processes, anomalous diffusions and non-Gaussian analysis. In this paper, we focus on certain explicit assumptions that allow us to use the Fox-H functions as densities. We then provide a subfamily of the latter, called Fox-H densities with all moments finite, and give their Laplace transforms as entire generalized Wright functions. The class of random variables with these densities is proven to possess a monoid structure. We present eight subclasses of special cases of such densities (together with their Laplace transforms) that are particularly relevant in applications, thanks to their probabilistic interpretation. To analyze the existence conditions of Fox-H functions as well as their sign, we derive asymptotic results and their analytic extension
Fox, H C, NX53423
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/386036Surname: FOX. Given Name(s) or Initials: H C. Military Service Number or Last Known Location: NX53423. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 35905.253946
Item: [2016.0049.18329] "Fox, H C, NX53423
Fox, H M, QX16629
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/386041Surname: FOX. Given Name(s) or Initials: H M. Military Service Number or Last Known Location: QX16629. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 32434.253957
Item: [2016.0049.18334] "Fox, H M, QX16629
Fox, H, QX16450
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/386040Surname: FOX. Given Name(s) or Initials: H. Military Service Number or Last Known Location: QX16450. Missing, Wounded and Prisoner of War Enquiry Card Index Number: 20983.253955
Item: [2016.0049.18333] "Fox, H, QX16450
Multivariate Fox H-Function: mfoxh
No full textC/MEX parallel multi-thread implementation for the multivariate Fox H-function.
If you use this software or any (modified) part of it, please cite it as:
Hatim Chergui, Mustapha Benjillali and Mohamed-Slim Alouini, “Rician -Factor-Based Analysis of XLOS Service Probability in 5G Outdoor Ultra-Dense Networks", [Online] Preprint available: https://arxiv.org/abs/1804.08101
Contact email: chergui[at]ieee[dot]or
Fox-H densities and completely monotone generalized Wright functions
No full textDue to their flexibility, Fox- functions are widely studied and applied to many research topics, such as astrophysics, mechanical statistic, probability, etc. Well-known special cases of Fox- functions, such as Mittag-Leffler and Wright functions, find a wide application in the theory of stochastic processes, anomalous diffusions and non-Gaussian analysis. In this paper, we focus on certain explicit assumptions that allow us to use the Fox- functions as densities. We then provide a subfamily of the latter, called Fox- densities with all moments finite, and give their Laplace transforms as entire generalized Wright functions. The class of random variables with these densities is proven to possess a monoid structure. We present eight subclasses of special cases of such densities (together with their Laplace transforms) that are particularly relevant in applications, thanks to their probabilistic interpretation. To analyze the existence conditions of Fox- functions red as well as their sign, we derive asymptotic results and their analytic extension
Multivariate Fox H-Function C/MEX Package: mfoxh
No full text<p>Multivariate Fox H-Function C/MEX Package v1.1</p>
GPU-MATLAB-Enabled Multivariate Fox H-Function Code
No full text<p>A fast implementation for the multivariate Fox H-function leveraging the high computing capabilities of GPU.</p>
Fox H functions in fractional diffusion
No full textAbstractThe H functions, introduced by Fox in 1961, are special functions of a very general nature, which allow one to treat several phenomena including anomalous diffusion in a unified and elegant framework. In this paper we express the fundamental solutions of the Cauchy problem for the space–time fractional diffusion equation in terms of proper Fox H functions, based on their Mellin–Barnes integral representations. We pay attention to the particular cases of space-fractional, time-fractional and neutral-fractional diffusion
GPU-Enabled Multivariate Fox H-function Code
No full text<p>A GPU-enabled Matlab implementation of the multivariate Fox H-function. If you use this code of any (modified) part of it, please cite it as: H. Chergui, M. Benjillali and M.-S. Alouini, "Rician K-factor-based analysis of XLOS service probability in 5G outdoor ultra-dense networks," 2018. [Online]. Available: <a href="https://arxiv.org/abs/1804.08101">https://arxiv.org/abs/1804.08101</a></p>
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