Skip to main content
Log in

On the decomposition of infinitely divisible characteristic functions with a continuous poisson spectrum

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

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.

References

  1. H. Cramér, “ On the factorization of certain probability distributions,”Arkiv för Mathematik, Band 1, Nr. 7 (1949), 61–65.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. R. Halmos,Measure Theory, 2nd ed., D. van Nostrand Comp., New York, 1951.

    MATH  Google Scholar 

  3. P. Lévy, “Sur les exponentielles de polynomes et sur l’arithmétique des produits de lois de Poisson,”Ann. Ecole, norm. sup., 73 (1937), 231–292.

    MATH  Google Scholar 

  4. Yu. V. Linnik,Decomposition of the Probability Laws, Izdat. Leningrad Univ., Leningrad, 1960, (in Russian).

    Google Scholar 

  5. E. Lukacs,Characteristic Functions, Griffin’s Stat. Mono., London, 1960.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Skimizu, R. On the decomposition of infinitely divisible characteristic functions with a continuous poisson spectrum. Ann Inst Stat Math 16, 387–407 (1964). https://doi.org/10.1007/BF02868582

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868582

Keywords

Navigation