Skip to main content
SpringerLink
Log in

Cramer-Von Mises Statistics for Testing the Equality of Two Distributions

  • Conference paper
  • First Online:
Frontier and Future Development of Information Technology in Medicine and Education

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 269))

Abstract

In the study, two projected integrated empirical processes for testing the equality of two multivariate distributions are introduced. The bootstrap is used for determining the approximate critical values. The result shows that the test statistics and their bootstrap version have the same limit if the null hypothesis is true. A number-theoretic method is applied to the simulation of efficient computation of the bootstrap critical values.

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

Access this chapter

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 429.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 549.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 549.99
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

References

  1. Beran R, Millar PW (1986) Confidence sets for a multivariate distribution. Ann Stat 14:431–443

    Article  MATH  MathSciNet  Google Scholar 

  2. Efron B, Tibshirani R (1993) An introduction to the bootstrap. Chapman and Hall, New York

    Book  MATH  Google Scholar 

  3. Fang KT, Wang Y (1993) Number-theoretic methods and applications in statistics. Chapman and Hall, New York

    Google Scholar 

  4. Gin′e E, Zinn J (1990) Bootstrapping general empirical measures. Ann Probab 18:851–869

    Article  MathSciNet  Google Scholar 

  5. Henze N, Nikitin YY (2003) Two-sample tests based on the integrated empirical process. Commun Stat Theor Methods 32:1767–1788

    Article  MATH  MathSciNet  Google Scholar 

  6. Hofmann-JØrgensen J (1984) Stochastic processes on polish spaces, Unpublished manuscript

    Google Scholar 

  7. Huber P (1985) Projection pursuit(with discussion). Ann Stat 13:435–475

    Google Scholar 

  8. Jing Ping, chaoshou Dai (1999) Bootstrap tests for the equality of two and K distributions. Math Appl 4:45–52

    Google Scholar 

  9. Pollard D (1984) Convergence of stochastic processes. Springer-Verlag and Science Press, New York

    Book  MATH  Google Scholar 

  10. Præstgaard JP (1995) Permutation and bootstrap Kolmogorov-Smirnov test for the equality of two distributions. Scand J Stat 22:305–322

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Beijing City University, Beijing, 100083, China

    Qun Huang

  2. China University of Mining and Technology, Beijing, 100083, China

    Ping Jing

Authors
  1. Qun Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ping Jing
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qun Huang .

Editor information

Editors and Affiliations

  1. Cognitive Science, Xiamen University, Xiamen, People's Republic of China

    Shaozi Li

  2. Human Informatics and Cognitive Sciences, Waseda University Networked Information Systems Lab, Waseda, Japan

    Qun Jin

  3. School of Systems Information Science, Future University Hakodate, Hakodate, Hokkaido, Japan

    Xiaohong Jiang

  4. Department of Computer Science and Engineering, Seoul University of Science & and Technology (SeoulTech), Seoul, Korea, Republic of (South Korea)

    James J. (Jong Hyuk) Park

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Huang, Q., Jing, P. (2014). Cramer-Von Mises Statistics for Testing the Equality of Two Distributions. In: Li, S., Jin, Q., Jiang, X., Park, J. (eds) Frontier and Future Development of Information Technology in Medicine and Education. Lecture Notes in Electrical Engineering, vol 269. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7618-0_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-7618-0_10

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7617-3

  • Online ISBN: 978-94-007-7618-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation