Advertisement

On some stability theorems

  • B. V. Gnedenko
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 982)

Keywords

Random Number Independent Random Variable Limit Distribution Technical System Life Period 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Gnedenko B.V., Fahim X. On one transfer theorem.-Doklady AN SSSR, 1969, v.187, No 1, p.15–17 (in Russian).MathSciNetGoogle Scholar
  2. 2.
    Berman S.M. Limiting distribution of the maximum term of sequences of independent random variables.-Ann.Math.Statist., 1962, v.33, No.3, p.894–908.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Barmdorf-Nielsen D. On the limit distribution of the maximum of a random number of independent random variables.-Acta Math.Acad. Sci.Hungar., 1964, v.15, No.3–4, p.399–403.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Gnedenko B.V., Gnedenko D.B. On Laplace and logistical distributions as limit ones in the probability theory.-Serdika (to appear).Google Scholar
  5. 5.
    Kruglov V.M. On the convergence of distributions of sums of random number of independent random variables to the normal law.-Vestnik MGU, ser.matem., mehan., 1976, No 5, p.5–12 (in Russian).Google Scholar
  6. 6.
    Rossberg H.I., Siegel G. Continuation of convergence in the central limit theorem.-Teorija verojatn. i ee primen., 1976, v.XX, No 4, p.885–887.MathSciNetGoogle Scholar
  7. 7.
    Gnedenko B.V. Sur la distribution du term maximum d’une série aleatoire.-Ann.Math., 1943, v.44, N 3, p.423–453.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • B. V. Gnedenko
    • 1
  1. 1.MoscowRussia

Personalised recommendations