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On Some Characterizations of the Levy Distribution

Author

Listed:
  • Ahsanullah Mohammad

    (Rider University, Lawrenceville, New Jersey, USA)

  • Nevzorov V. B.

    (Sankt Peterburg State University, Sankt Petersburg, Russia)

Abstract
If the distribution of the linear combination of two independent and identically distributed random variables from a distribution belongs to the same distribution, then we call that distribution a stable distribution. The Levy distribution is a member of the family of stable distributions. In this paper, we will present some basic distributional properties and characterizations of the Levy distribution.

Suggested Citation

  • Ahsanullah Mohammad & Nevzorov V. B., 2019. "On Some Characterizations of the Levy Distribution," Stochastics and Quality Control, De Gruyter, vol. 34(1), pages 53-57, June.
  • Handle: RePEc:bpj:ecqcon:v:34:y:2019:i:1:p:53-57:n:4
    DOI: 10.1515/eqc-2018-0031
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