Skip to main content
SpringerLink
Log in

Inequalities for the moments of v-infinitely divisible laws and the characterization of probability distributions

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. J. A. Melamed, “Limit theorems in the set-up of summation of a random number of independent identically distributed random variables,”Lect. Notes Math., No. 1412 (1989).

  2. L. B. Klebanov, G. M. Maniya, and I. A. Melamed, “A problem of V. M. Zolotarev and analogs of infinitely divisible and stable distributions in the context of summation of a random number of random variables,”Teor. Veroyatn. i Prim.,29, No. 4, 757–760 (1984).

    Google Scholar 

  3. L. B. Klebanov, G. M. Maniya, and I. A. Melamed, “Analogs of infinitely divisible and stable laws for sums of a random number of random variables,” in:Proc. Fourth Intern. Conf. Prob. Math. Stat. [in Russian], Vol. 2, Inst. Mat. Kib., Lit. Akad. Nauk, Vilnius (1985), pp. 40–41.

    Google Scholar 

  4. L. B. Klebanov and I. A. Melamed, “Analytic problems connected with sums of a random number of random variables,” in:Proc. XX School Coll. Th. Prob. Math. Stat. [in Russian], Metzniereba, Tbilisi (1986), p. 21.

    Google Scholar 

  5. A. V. Kakosyan and L. B. Klebanov, “On the recovery of distributions,” in:Proc. XII All-Union Sem. Stab. Stat. Mod. [in Russian], Khar'kov (1988). In press.

  6. V. M. Dubrovskii, “On some properties of completely additive set functions and their limits under the integral sign,”Izv. Akad. Nauk SSSR, Ser. Mat.,9, 311–320 (1945),11, 101–104 (1947).

    Google Scholar 

  7. S. Janjić, “On random variables with the same distribution type as their random sum,”Publications de l'Institut Mathématique, Nouvelle Série,35(49) 161–166 (1984).

    Google Scholar 

  8. E. Lukacs,Characteristic Functions, Second ed., Griffin, London (1970).

    Google Scholar 

  9. W. Feller,Introduction to Probability Theory and its Applications, Vol. 2, Wiley, New York (1968).

    Google Scholar 

  10. V. M. Kruglov, “On convergence of distributions of sums of a random number of independent random variables to the normal law,”Vest. MGU, Ser. Mat.,5, 5–12 (1976).

    Google Scholar 

  11. V. V. Petrov,Sums of Independent Random Variables, Springer, New York (1975).

    Google Scholar 

  12. L. B. Klebanov and I. A. Melamed, “On the characterization of the normal and gamma distributions by Fischer information properties,”Zap. Nauch. Sem. LOMI,43, 53–58 (1974).

    Google Scholar 

Download references

Authors
  1. I. A. Melamed
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from:Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, 1989, pp. 93–103.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Melamed, I.A. Inequalities for the moments of v-infinitely divisible laws and the characterization of probability distributions. J Math Sci 59, 960–970 (1992). https://doi.org/10.1007/BF01099126

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01099126

Keywords

Search

Navigation