Skip to main content

Recurrence Relations

  • Chapter
  • First Online:
Numerical Analysis for Statisticians

Part of the book series: Statistics and Computing ((SCO))

  • 8363 Accesses

Abstract

Recurrence relations are ubiquitous in computational statistics and probability. Devising good recurrence relations is both an art and a science. One general theme is the alpha and omega principle; namely, most recurrences are derived by considering either the first or last event in a chain of events. The following examples illustrate this principle and some other commonly employed techniques.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Barbour AD, Holst L, Janson S (1992) Poisson Approximation. Oxford University Press, Oxford

    MATH  Google Scholar 

  2. Henrici P (1982) Essentials of Numerical Analysis with Pocket Calculator Demonstrations. Wiley, New York

    MATH  Google Scholar 

  3. Kolchin VF, Sevast’yanov BA, Chistyakov VP (1978) Random Allocations. Winston, Washington DC

    Google Scholar 

  4. Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd ed. Cambridge University Press, Cambridge

    Google Scholar 

  5. Sandell D (1991) Computing probabilities in a generalized birthday problem. Math Scientist 16:78-82

    MATH  MathSciNet  Google Scholar 

  6. Wilf HS (1986) Algorithms and Complexity. Prentice-Hall, New York

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kenneth Lange .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer New York

About this chapter

Cite this chapter

Lange, K. (2010). Recurrence Relations. In: Numerical Analysis for Statisticians. Statistics and Computing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5945-4_1

Download citation

Publish with us

Policies and ethics