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A note on isotropic random flights moving in mixed Poisson environments

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  • De Gregorio, Alessandro

Abstract

The aim of this note is to deepen the knowledge of isotropic random flights moving in mixed Poisson media; that is we analyze the random evolution of a particle with random scattering rate Λ. By assuming Λ distributed according to some standard probability laws, we are able to explicit the probability measure of the random flights. Furthermore, we show that there exists a link between our processes and a inhomogeneous wave equation.

Suggested Citation

  • De Gregorio, Alessandro, 2017. "A note on isotropic random flights moving in mixed Poisson environments," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 311-317.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:311-317
    DOI: 10.1016/j.spl.2017.06.021
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    References listed on IDEAS

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    1. De Gregorio, Alessandro, 2009. "Parametric estimation for planar random flights," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2193-2199, October.
    2. Pogorui, Anatoliy A. & Rodríguez-Dagnino, Ramón M., 2013. "Random motion with gamma steps in higher dimensions," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1638-1643.
    3. De Gregorio, Alessandro, 2016. "Transport processes with random jump rate," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 127-134.
    4. De Gregorio, Alessandro & Orsingher, Enzo, 2012. "Flying randomly in Rd with Dirichlet displacements," Stochastic Processes and their Applications, Elsevier, vol. 122(2), pages 676-713.
    Full references (including those not matched with items on IDEAS)

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