Skip to main content

Anisotropy and Distance from the Centre. Probabilistic Models and Statistical Analysis

  • Conference paper
Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 23))

  • 170 Accesses

Abstract

Geometrical stochastics is the branch of mathematics which is concerned with the probabilistic and statistical analysis of randomly generated sets in space. Sets encountered in every day life can often reasonably be interpreted as realizations of random sets. This may for instance be the case for the system of holes in a porous material (Mathéron (1967)) or for the set of sites on an area of ground where individual plantes of a particular species are growing (Pielou (1969, chapter 9 and 10)).

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

  • ABRAMOWITZ, M. and STEGUN, I.A. (1970) Handbook of Mathematical Functions. New York: Dover.

    Google Scholar 

  • BUFFON, G.L.L. (1777). Essai d’arithmétique morale, Supplément à l’histoire naturelle, 4.

    Google Scholar 

  • KENDALL, M.G. and MORAN, P.A.P. (1963) Geometrical Probability. London: Griffin.

    MATH  Google Scholar 

  • MARDIA, K.V. (1972). Statistics of Directional Data. London: Academic Press.

    MATH  Google Scholar 

  • MARRIOTT, F.H.C. (1971). Buffon’s problem for non-random directions. Biometrics 27, 233–235.

    Article  Google Scholar 

  • MATHERON, G. (1967). Eléments pour une théorie des milieux. poreux. Paris: Masson.

    Google Scholar 

  • PIELOU, E.C. (1969). An Introduction to Mathematical Ecology. New York: Wiley Interscience.

    MATH  Google Scholar 

  • SANTALO, L.A. (1976). Integral Geometry and Geometric Probability. Reading: Addison Wesley.

    MATH  Google Scholar 

  • STEPHENS, M.A. (1969). Tests of randomness of directions against two circular alternatives. J.Amer.Statist.Soc. 64, 280–289.

    Google Scholar 

  • STREIT, F. (1976). On Methods and Problems of Geometrical Stochastics. Bulletin of the ISI 46 (2), 600–605.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Streit, F. (1978). Anisotropy and Distance from the Centre. Probabilistic Models and Statistical Analysis. In: Miles, R.E., Serra, J. (eds) Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary. Lecture Notes in Biomathematics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93089-8_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-93089-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08856-1

  • Online ISBN: 978-3-642-93089-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics