Skip to main content
Log in

On the Asymptotic Behavior of Tails of Scale Mixtures of Normal Distributions

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

The relation between the limit behavior of the tails of the mixing distribution and that of the corresponding mixture of normal distributions is investigated. Three alternative ways of tail decay are considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. Kernel, “Variance mixtures of normal distributions,” Ann. Math. Stat., 42, 802–808 (1931).

    Google Scholar 

  2. S. J. Wolfe, “On the infinite divisibility of variance mixtures of normal distribution functions,” Proc. Kon. Ned. Akad. Wetensch, 81, 154–156 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Seneta, Regular Varying Functions, Lecture Notes in Mathematics, Vol. 508, Springer–Verlag, Berlin (1976).

  4. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York (1984).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. N. Koksharov.

Additional information

Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 19, pp. 90–104, 2006

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Antonov, S.N., Koksharov, S.N. On the Asymptotic Behavior of Tails of Scale Mixtures of Normal Distributions . J Math Sci 220, 660–671 (2017). https://doi.org/10.1007/s10958-016-3209-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-016-3209-z

Navigation