Skip to main content

Models for Axial Data

  • Chapter
  • First Online:
Advances in Directional and Linear Statistics

Abstract

A variety of models have been proposed to accommodate data involving directional vectors in two-dimensions, with no identified start or end point. By convention such directions are represented by points in the interval (0,π). Data of this kind is called axial data. A survey of symmetric and asymmetric models for axial data is provided here. In addition, for certain models, parametric inference issues are addressed. In some cases, bivariate and multivariate extensions are readily envisioned.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

  1. Arnold B, SenGupta A (2006) Probability distributions and statistical inference for axial data. Environ Ecol Stat 12:271–285

    Article  MathSciNet  Google Scholar 

  2. Arnold B, SenGupta A (2009) Flexible bivariate circular models. In: Advances in multivariate statistical methods. World Scientific, Singapore

    Google Scholar 

  3. Arnold B, Strauss D (1991) Bivariate distributions with conditionals in prescribed exponential families. J R Stat Soc Series B 53:365–375

    MATH  MathSciNet  Google Scholar 

  4. Azzalini A (2005) The skew-normal distribution and related multivariate families. Scand J Stat 32:159–200

    Article  MATH  MathSciNet  Google Scholar 

  5. Jammalamadaka SR, Kozubowski T (2004) New families of wrapped distributions for modeling skew circular data. Commun Stat Theory Methods 33(9):2059–2074

    Article  MATH  MathSciNet  Google Scholar 

  6. Jammalamadaka SR, SenGupta A (2001) Topics in circular statistics. World Scientific, Singapore

    Book  MATH  Google Scholar 

  7. Jones MC, Pewsey A (2005) A family of symmetric distributions on the circle. J Am Stat Assoc 100:1422–1428

    Article  MATH  MathSciNet  Google Scholar 

  8. Mardia KV, Jupp PE (2000) Directional statistics. Wiley, New York

    MATH  Google Scholar 

  9. Pewsey A (2006) Modeling asymmetrically distributed circular data using the wrapped skew-normal distribution. Environ Ecol Stat 13:257–269

    Article  MathSciNet  Google Scholar 

  10. Umbach D, Jammalamadaka SR (2009) Building asymmetry into circular distributions. Stat Probab Lett 79:659–663

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Barry C. Arnold .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Arnold, B.C., SenGupta, A. (2011). Models for Axial Data. In: Wells, M., SenGupta, A. (eds) Advances in Directional and Linear Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2628-9_1

Download citation

Publish with us

Policies and ethics