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On Some Characterizations of the Levy Distribution

  • Mohammad Ahsanullah EMAIL logo und V. B. Nevzorov
Veröffentlicht/Copyright: 12. März 2019
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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.

MSC 2010: 62E10; 62H05

References

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Received: 2018-11-10
Revised: 2019-02-08
Accepted: 2019-02-08
Published Online: 2019-03-12
Published in Print: 2019-06-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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