Skip to main content

On the stability of characterizations of the unit distribution

  • 858 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 982)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zolotarev V.M. On the problem of the stability of the decomposition of the normal distribution on components.-Teorija verojatn. i ee primen., 1968, v.13, N 4, p.738–742 (in Russian).

    MathSciNet  MATH  Google Scholar 

  2. Mačis Ju.Ju. On the stability of decomposition of the unit distribution function.-Teorija verojatn. i ee primen., 1969, v.14, N 4, p.715–718 (in Russian).

    MATH  Google Scholar 

  3. Yanushkevichius R.V. On the estimations of the measure of the stability of decompositions of probability distributions on components.-Teorija verojatn. i ee primen., 1978, v.23, N 3, p.527–539 (in Russian).

    MathSciNet  Google Scholar 

  4. Gabovich Ju.R. The stability of some characterizations of the normal distribution by the independency of statistics, Kandidate dissertation. M.: MFTI, 1974 (in Russian).

    Google Scholar 

  5. Gabovich Ju.R., Mačis Ju.Ju. On the stability of a characterization of the degenerate distribution.-Lit.Matem.Sb., 1976, v.16, N 2, p.212–213 (in Russian)

    Google Scholar 

  6. Yanushkevichius R.V. The investigation of the stability in some problems of distributions characterization. Kandidate dissertation. Vilnius: VGU, 1978 (in Russian).

    Google Scholar 

  7. Yanushkevichius R.V. The estimations of the stability of characterization of the normal distribution in the G.Polya theorem.-Zapiski naučn.semin. LOMI, 1978, v.87, p.196–205 (in Russian).

    MathSciNet  Google Scholar 

  8. Lukacs E. Stability theorems for characterizations of the normal and of the degenerate distributions.-In: Asymptotic theory of statistical tests and estimation. N.Y.: Academic Press, 1980, p.205–229.

    Google Scholar 

  9. Yanushkevichius R.V. On the stability of the characterization by the constancy regression property.-Lit.Matem.Sb., 1981, v.21, N 2, p.215–223 (in Russian).

    MathSciNet  Google Scholar 

  10. Yanushkevichius R.V. On the question of the stability of a characterization of the degenerate distribution.-Lit.Matem.Sb., 1982, v.22, N 4 (to appear in Russian).

    Google Scholar 

  11. Kagan A.M., Linnik Ju.V., Rao C.R. Characterization problems in mathematical statistics. M.: Nauka, 1972.

    MATH  Google Scholar 

  12. Zolotarev V.M. Estimations of the difference between distributions in the Levy metric.-Trydy Steklov Matem.Inst., 1971, v.112, p.224–231 (in Russian).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Petrova, L.L. (1983). On the stability of characterizations of the unit distribution. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082068

Download citation

  • DOI: https://doi.org/10.1007/BFb0082068

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12278-4

  • Online ISBN: 978-3-540-39598-0

  • eBook Packages: Springer Book Archive