Skip to main content
Log in

Non-unbiasedness of Cramer-von Mises test

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

This paper shows that for any given level of significanceα ∈ (0,1), and any sample sizen, the Cramer-von Mises test is not unbiased.

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.

Similar content being viewed by others

References

  1. Cramer,H., On the composition of elementary errors, Skand. Akluarietids, 11(1):13.

  2. vonMises, Wahrscheinlichkeitsrechnung, Lepzig: Wien, 1931.

    Google Scholar 

  3. Darling, DA., The Kolmogorov-Smirnov, Cramer-von Mises Tests, Ann. Math. Statist., 1957, 28(4):823.

    Article  MATH  MathSciNet  Google Scholar 

  4. Kendall, M., Stuart, A., The Advanced Theory of Statistics, Vol. 2, 4th Ed, London: Charles Griffin & Company Limited, 1979.

    MATH  Google Scholar 

  5. Yang, Z. H., Goodness-of- Fit Tests, Hefei: Anhui Press, 1994.

    Google Scholar 

  6. Cohen, A., Sackrowitz, H. B., Unbiasedness td the Chi-square likelihood ratio, and other goodness of fit tests for the equal cell case, Ann. Statist., 1975, 3(3):959.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, X. Non-unbiasedness of Cramer-von Mises test. Sci. China Ser. A-Math. 43, 1046–1050 (2000). https://doi.org/10.1007/BF02898238

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02898238

Keywords

Navigation