Skip to main content

Asymptotics via Stein’s Approach

  • Chapter
  • 1183 Accesses

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

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Chapter 17

  • Barbor, A. and P. Hall (1984) Stein’s method and the Berry-Esseen theorem. Austral. J. Statist. 26 8–15.

    MathSciNet  Google Scholar 

  • Bolthausen, E. (1984) An estimate of the remainder in a combinatorial central limit theorem. Z. Wahrsch. Verw. Geb. 66 379–386.

    Article  MATH  MathSciNet  Google Scholar 

  • Hájek, J. and V. Šidak (1967) Theory of Rank Tests. Academic Press, New York.

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  • Hoeffding, W. (1951) A combinatorial central limit theorem. Ann. Math. Statist. 22 558–566.

    MATH  MathSciNet  Google Scholar 

  • Reinhert, G. (1977) Couplings for normal approximations with Stein’s method. To appear in Conference Proceedings, Microsurveys in Discrete Probability.

    Google Scholar 

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

    Google Scholar 

  • Stein, C. (1986) Approximate Computation of Expectations. IMS, Hayward, CA.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag New York, Inc.

About this chapter

Cite this chapter

(2000). Asymptotics via Stein’s Approach. In: Probability for Statisticians. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/0-387-22760-1_17

Download citation

  • DOI: https://doi.org/10.1007/0-387-22760-1_17

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98953-2

  • Online ISBN: 978-0-387-22760-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics