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      Laplace-Laplace analysis of the fractional Poisson process

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          Abstract

          We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability densities.

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          Fractional Calculus

          R. Gorenflo, F Mainardi (1997)
          Article 0 comments Cited 132 times – based on 0 reviews
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            Stochastic solution of space-time fractional diffusion equations

            Mark M Meerschaert, David A. Benson, Hans-Peter Scheffler … (2002)
            Article 0 comments Cited 88 times – based on 0 reviews     Review now
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              Fractional Poisson process

              Nick Laskin (2003)
              Article 0 comments Cited 62 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Publication date Created: 2013-05-23
                Article
                ArXiV ID: 1305.5473
                SO-VID: 3ade7bb8-80f0-4e63-93ab-ff30c56218e1
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                ACM classes 26A33, 33E12, 45K05, 60G18, 60G50, 60G52, 60K05, 76R50
                Journal reference S. Rogosin (Ed), Analytical Methods of Analysis and Differential Equations, Minsk, 2012, pp. 43-58. [Kilbas Memorial Volume, AMADE 2011]
                Comments 20 pages. Some text may overlap with our E-prints: arXiv:1305.3074, arXiv:1210.8414, arXiv:1104.4041
                Categories math.PR

                ScienceOpen disciplines: Probability
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                ScienceOpen disciplines: Probability

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