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Volumn 82, Issue 4, 2012, Pages 852-858

The space-fractional Poisson process

Author keywords

Backward shift operator; Discrete stable distributions; Space fractional poisson process; Space time fractional poisson process; Stable subordinator

Indexed keywords


EID: 84857192526     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2011.12.018     Document Type: Article
Times cited : (100)

References (11)
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    • Beghin, L.1    Orsingher, E.2
  • 2
    • 38248998993 scopus 로고
    • A tryptich of discrete distributions related to the stable law
    • Devroye L. A tryptich of discrete distributions related to the stable law. Statist. Probab. Lett. 1993, 18:349-351.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 349-351
    • Devroye, L.1
  • 4
    • 72249122533 scopus 로고    scopus 로고
    • Some applications of the fractional Poisson probability distribution
    • Laskin N. Some applications of the fractional Poisson probability distribution. J. Math. Phys. 2009, 50(11):113513.
    • (2009) J. Math. Phys. , vol.50 , Issue.11 , pp. 113513
    • Laskin, N.1
  • 6
    • 32544461435 scopus 로고    scopus 로고
    • A fractional generalization of the Poisson processes
    • Mainardi F., Gorenflo R., Scalas E. A fractional generalization of the Poisson processes. Vietnam J. Math. 2004, 32:53-64.
    • (2004) Vietnam J. Math. , vol.32 , pp. 53-64
    • Mainardi, F.1    Gorenflo, R.2    Scalas, E.3
  • 7
    • 80053136630 scopus 로고    scopus 로고
    • The fractional poisson process and the inverse stable subordinator
    • Meerschaert M.M., Nane E., Vellaisamy P. The fractional poisson process and the inverse stable subordinator. Electron. J. Probab. 2011, 16(59):1600-1620.
    • (2011) Electron. J. Probab. , vol.16 , Issue.59 , pp. 1600-1620
    • Meerschaert, M.M.1    Nane, E.2    Vellaisamy, P.3
  • 8
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    • Compositions, random sums and continued random fractions of Poisson and fractional Poisson
    • processes (submitted for publication).
    • Orsingher, E., Polito, F., 2011. Compositions, random sums and continued random fractions of Poisson and fractional Poisson processes (submitted for publication).
    • (2011)
    • Orsingher, E.1    Polito, F.2
  • 9
    • 80054057635 scopus 로고    scopus 로고
    • Full characterization of the fractional Poisson process
    • art. 20004, 6 pages
    • Politi M., Kaizoji T., Scalas E. Full characterization of the fractional Poisson process. Europhys. Lett. 2011, 96(2). art. 20004, 6 pages.
    • (2011) Europhys. Lett. , vol.96 , Issue.2
    • Politi, M.1    Kaizoji, T.2    Scalas, E.3
  • 11
    • 44349186861 scopus 로고    scopus 로고
    • A fractional Poisson process in a model of dispersive charge transport in semiconductors
    • Uchaikin V.V., Sibatov R.T. A fractional Poisson process in a model of dispersive charge transport in semiconductors. Russian J. Numer. Anal. Math. Modelling 2008, 23(3):283-297.
    • (2008) Russian J. Numer. Anal. Math. Modelling , vol.23 , Issue.3 , pp. 283-297
    • Uchaikin, V.V.1    Sibatov, R.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.