Skip to main content

Part of the book series: Springer Texts in Statistics ((STS))

  • 8771 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Berk, R. (1966). Limiting behavior of posterior distributions when the model is incorrect, Ann. Math. Stat., 37, 51–58.

    Article  MathSciNet  Google Scholar 

  • Bickel, P.J. (1974). Edgeworth expansions in nonparametric statistics, Ann. Stat., 2, 1–20.

    Article  MATH  MathSciNet  Google Scholar 

  • Callaert, H. and Janssen, P.(1978). The Berry-Esseen theorem for U-statistics, Ann. Stat., 6(2), 417–421.

    Google Scholar 

  • Callaert, H., Janssen, P., and Veraverbeke, N. (1980). An Edgeworth expansion for U-statistics, Ann. Stat., 8(2), 299–312.

    Article  MATH  MathSciNet  Google Scholar 

  • Grams, W. and Serfling, R. (1973). Convergence rates for U-statistics and related statistics, Ann. Stat., 1, 153–160.

    Article  MATH  MathSciNet  Google Scholar 

  • Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution,Ann. Math. Stat., 19, 293–325.

    Article  MathSciNet  Google Scholar 

  • Lee, A.J. (1990). U-statistics: Theory and Practice, Marcel Dekker, New York.

    MATH  Google Scholar 

  • Lehmann, E.L. (1999). Elements of Large Sample Theory, Springer, New York.

    MATH  Google Scholar 

  • Loh, W.L. (1996). An Edgeworth expansion for U-statistics with weakly dependent observations, Stat. Sinica, 6(1), 171–186.

    MATH  MathSciNet  Google Scholar 

  • Serfling, R. (1980). Approximation Theorems of Mathematical Statistics, John Wiley, New York.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

DasGupta, A. (2008). U-statistics. In: Asymptotic Theory of Statistics and Probability. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-75971-5_15

Download citation

Publish with us

Policies and ethics