Skip to main content

Multivariate Isotonic Regression under Tree Semi-order Restrictions and Test in Multivariate Normal Distribution

  • Conference paper
Book cover Neural Information Processing (ICONIP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7664))

Included in the following conference series:

Abstract

This paper discusses multivariate isotonic regression under tree semi-order restrictions and gives a precise solving method of Multivariate Isotonic Regression under tree semi-order restrictions. Furthermore, an algorithm for the solution of multivariate isotonic regression is developed.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  1. Sasabuchi, S., Inutsuka, M., Kulatunga, D.D.S.: A multivariate version regression. Biometrika 70, 465–472 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  2. Nomakuchi, K., Shi, N.Z.: A test for multiple isotonic regression problems. Biometrika 75, 181–184 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  3. Rozenberg, M.J., Inoue, I.H., Sánchez, M.J.: Nonvolatile Memory with Multilevel Switching: A Basic Model. Physical Review Letters 92, 178302 (2004)

    Article  Google Scholar 

  4. Sasabuchi, S., Inutsuka, M., Kulatunga, D.D.S.: An algorithm for computing multivariate isotonic regression. Technical report, Hiroshima Univ. No. 287 (1991)

    Google Scholar 

  5. Shi, N.Z., Geng, Z.: Multiple isotonic regression. Journal of the Royal Statistical Society 45, 266–273 (1996)

    MATH  Google Scholar 

  6. Biolek, Z., Biolek, D., Biolková, V.: SPICE Model of Memristor with Nonlinear Dopant Drift. Radioengineering 18, 210–214 (2009)

    Google Scholar 

  7. Xiaomi, H.: P-values of a test on homogeneous means in a multivariate isotonic regression. Statist. Probab. Lett. 79, 2005–2011 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Xiaomi, H., Jurgen, H., Linda, H., Yeemma, Z.: On the convergence of row-modification algorithm for matrix projections. Journal of Multivariate Analysis 105, 216–221 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Dong, L., Dong, P.: Maximum likelihood estimation of means and variances from normal populations in which the means restricted by a simple loop partial ordering. Advances in Information and Systems Sciences 3(1-2), 479–483 (2009) ISSN 1916-176X

    Google Scholar 

  10. Dong, P., Yuzhen, L.: Maximum likelihood estimation of means and variances from normal populations means under simple tree order restrictions, variances under simple order restrictions. Chinese Journal of Applied Probability and Statistics 19(1) (2003) ISSN 1001-4268

    Google Scholar 

  11. Dong, P., Yuzhen, L.: Maximum likelihood estimation of means and variances from normal populations with unknown variances and the means restricted by a simple tree partial ordering. Mathematics in Practice and Theory 33(11) (2003) ISSN 1000-0984

    Google Scholar 

  12. Shi, N.Z.: Isotonic regression and maximum likelihood estimate. Chinese Journal of Applied Probability and Statistics 9(2), 203–215 (1993)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lu, Y., Dong, P., Li, Q. (2012). Multivariate Isotonic Regression under Tree Semi-order Restrictions and Test in Multivariate Normal Distribution. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34481-7_79

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34481-7_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34480-0

  • Online ISBN: 978-3-642-34481-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics