Skip to main content

Multiple Change-Point Problems

  • Chapter
  • First Online:
A Parametric Approach to Nonparametric Statistics

Part of the book series: Springer Series in the Data Sciences ((SSDS))

  • 1816 Accesses

Abstract

In the classical formulation of the single change-point problem , there is a sequence X 1, , X n of independent continuous random variables such that the X i for iτ have a common distribution function \(F_{1}\left (x\right )\) and those for i > τ a common distribution \(F_{2}\left (x\right )\). It is of interest to test the hypothesis of “no change,” i.e., τ = n against the alternative of a change, 1 ≤ τ < n. 

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

Access this chapter

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 29.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 39.99
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

  • Alvo, M., Yu, P. L. H., and Xu, H. (2017). A semi-parametric approach to the multiple change-point problem. Working paper, The University of Hong Kong.

    Google Scholar 

  • Bai, J. and Perron, P. (2003). Computation and analysis of multiple structural change models. Journal of Applied Econometrics, 18(1):1–22.

    Article  Google Scholar 

  • Donoho, D. L. and Johnstone, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association, 90(432):1200–1224.

    Article  MathSciNet  Google Scholar 

  • Garcia, R. and Perron, P. (1996). An analysis of the real interest rate under regime shifts. The Review of Economics and Statistics, pages 111–125.

    Article  Google Scholar 

  • Hinkley, D. (1970). Inference about the change-point in a sequence of random variables. Biometrika, 57:1–17.

    Article  MathSciNet  Google Scholar 

  • Killick, R., Fearnhead, P., and Eckley, I. (2012). Optimal detection of changepoints with a linear computational cost. Journal of the American Statistical Association, 107(500):1590–1598.

    Article  MathSciNet  Google Scholar 

  • Lehmann, E. (1975). Nonparametrics: Statistical Methods Based on Ranks. McGraw-Hill, New York.

    MATH  Google Scholar 

  • Matteson, D. S. and James, N. A. (2014). A nonparametric approach for multiple change point analysis of multivariate data. Journal of the American Statistical Association, 109:334–345.

    Article  MathSciNet  Google Scholar 

  • Snijders, A. M., Nowak, N., Segraves, R., Blackwood, S., Brown, N., Conroy, J., Hamilton, G., Hindle, A. K., Huey, B., Kimura, K., et al. (2001). Assembly of microarrays for genome-wide measurement of DNA copy number. Nature genetics, 29(3):263–264.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Alvo, M., Yu, P.L.H. (2018). Multiple Change-Point Problems. In: A Parametric Approach to Nonparametric Statistics. Springer Series in the Data Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-94153-0_10

Download citation

Publish with us

Policies and ethics