Skip to main content
SpringerLink
Log in
Book cover

Proceedings of the Second Japan-USSR Symposium on Probability Theory pp 16–45Cite as

Asymptotic expansions for Neyman's C(α) tests

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 330))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (USA)
  • 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. D.M. Chibisov: On the normal approximation for a certain class of statistics, Proc. 6-th Berkeley Symp. Math. Statist. and Prob., 1972, vol.1, 153–174.

    MathSciNet  MATH  Google Scholar 

  2. D.M. Chibisov: Asymptotic expansions for the maximum likelihood estimate, Teor. Verojatnost. i Primenen., 17, 2 (1972), 387–388.

    Google Scholar 

  3. D.M. Chibisov: Asymptotic expansions for some test statistics for testing composite hypotheses, Teor. Verojatnost. i Primenen., 17, 3 (1972), 600–602.

    Google Scholar 

  4. D.M. Chibisov: An asymptotic expansion for the distribution of a statistic admitting an asymptotic expansion, Teor. Verojatnost. i Primenen., 17, 4 (1972), 658–668.

    MathSciNet  Google Scholar 

  5. K. Michel, J. Pfanzagl: The accuracy of the normal approximation for minimum contrast estimates, Z. Wahrscheinlichkeitstheorie verw. Geb., 18 (1970), 73–84.

    Article  MathSciNet  MATH  Google Scholar 

  6. P.A.P. Moran: On asymptotically optimal tests of composite hypotheses, Biometrika, 57, 1 (1970), 47–55.

    Article  MathSciNet  MATH  Google Scholar 

  7. S.V. Nagaev: Some limit theorems for large deviations, Teor. Verojatnost. i Primenen., 10, 2 (1965), 231–254.

    MathSciNet  MATH  Google Scholar 

  8. J.Neyman: Optimal asymptotic tests of composite statistical hypotheses, Probability and statistics, Uppsala, Almquist and Wiksells, (The Harald Cramér Volume), 1959, 213–234.

    Google Scholar 

  9. V.V. Yurinsky: Bounds for characteristic functions of certain degenerate multidimensional distributions, Teor. Verojatnost. i Primenen., 17, 1 (1972), 99–110.

    MathSciNet  Google Scholar 

  10. K.G. Binmore, H.H. Stratton: A note on characteristic functions, Ann. Math. Statist., 40 (1969), 303–307.

    Article  MathSciNet  MATH  Google Scholar 

  11. R.P. Boas: Lipschitz behaviour and integrability of characteristic functions, Ann. Math. Statist., 38 (1967), 32–36.

    Article  MathSciNet  MATH  Google Scholar 

  12. M.Loève: Probability Theory, Van Nostrand, 1960.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute of the Academy of Sciences of the USSR, Moscow

    D. M. Chibisov

Authors
  1. D. M. Chibisov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

G. Maruyama Yu. V. Prokhorov

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Chibisov, D.M. (1973). Asymptotic expansions for Neyman's C(α) tests. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061479

Download citation

  • DOI: https://doi.org/10.1007/BFb0061479

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06358-2

  • Online ISBN: 978-3-540-46956-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation