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dc.contributor.authorFulger, D.
dc.contributor.authorScalas, E. 
dc.contributor.authorGermano, G.
dc.date.accessioned2017-02-21T08:18:18Z
dc.date.available2017-02-21T08:18:18Z
dc.date.issued2013-12-31
dc.identifier.issn1311-0454
dc.identifier.urihttp://hdl.handle.net/20.500.11824/522
dc.description.abstractThe speed of many one-line transformation methods for the production of, for example, Lévy alpha-stable random numbers, which generalize Gaussian ones, and Mittag-Leffler random numbers, which generalize exponential ones, is very high and satisfactory for most purposes. However, fast rejection techniques like the ziggurat by Marsaglia and Tsang promise a significant speed-up for the class of decreasing probability densities, if it is possible to complement them with a method that samples the tails of the infinite support. This requires the fast generation of random numbers greater or smaller than a certain value. We present a method to achieve this, and also to generate random numbers within any arbitrary interval. We demonstrate the method showing the properties of the transformation maps of the above mentioned distributions as examples of stable and geometric stable random numbers used for the stochastic solution of the space-time fractional diffusion equation.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectα-stable distribution
dc.subjectfractional diffusion
dc.subjectMittag-Leffler distribution
dc.subjectRandom number generation
dc.titleRandom numbers from the tails of probability distributions using the transformation method
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.2478/s13540-013-0021-z
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84879667938&doi=10.2478%2fs13540-013-0021-z&partnerID=40&md5=e015e02ff01cc660db74c476ae9425bc
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleFractional Calculus and Applied Analysisen_US


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