Skip to main content
SpringerLink
Log in

Renewal sequences and their arithmetic

  • Conference paper
  • First Online:
Symposium on Probability Methods in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 31))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. F.F. Bonsall, ‘On the representation of points of a convex set', J. London Math. Soc. 38 (1963), 332–334

    Article  MathSciNet  MATH  Google Scholar 

  2. G. Choquet, ‘Les cônes convexes faiblement complets', Proc. Intern. Congr. Math. (Stockholm, 1962), 317–330.

    Google Scholar 

  3. K.L. Chung, Markov Chains with Stationary Transition Probabilities (Berlin, 1960).

    Google Scholar 

  4. W. Feller, ‘On the Fourier representation for Markov chains and the strong ratio theorem’ J. Math. Mech. 15 (1966) 273–283.

    MathSciNet  MATH  Google Scholar 

  5. J.R. Goldman, Stochastic Point Processes: Limit Theorems and Infinite Divisibility (Thesis, Princeton University, 1965).

    Google Scholar 

  6. B.V. Gnedenko and A.N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (English translation, Cambridge, 1954).

    Google Scholar 

  7. U. Grenander, Probabilities on Algebraic Structures (New York, 1963).

    Google Scholar 

  8. Th. Kaluza, ‘Über die Koefficienten reziproker Potenzreihen', Math. Zeit. 28 (1928), 161–170.

    Article  MathSciNet  MATH  Google Scholar 

  9. D.G. Kendall, ‘Unitary dilations of Markov transition operators', in Surveys in Probability and Statistics (ed. U. Grenander) (Stockholm, 1959).

    Google Scholar 

  10. D.G. Kendall, ‘Delphic semi-groups, infinitely divisible regenerative phenomena, and the arithmetic of p-functions', in preparation.

    Google Scholar 

  11. J.F.C. Kingman, ‘An approach to the study of Markov processes', J. Royal Statist. Soc. (B) (to appear).

    Google Scholar 

  12. J. Lamperti, ‘On the coefficients of reciprocal power-series', American Math. Monthly 65 (1958), 90–94.

    Article  MathSciNet  MATH  Google Scholar 

  13. P.M. Lee, Infinitely Divisible Stochastic Processes (Thesis, Cambridge University, 1966).

    Google Scholar 

  14. Yu.V. Linnik, Decomposition of Probability Distributions (English translation, Edinburgh, 1964).

    Google Scholar 

  15. K. Matthes, ‘Unbeschränkt teilbare Verteilungsgesetze stationärer zufälliger Punktfolgen', Wiss. Zeit. Hochschule für Electrotechnik Ilmenau 9 (1963), 235–238.

    MathSciNet  MATH  Google Scholar 

  16. A.J. Mayne, ‘Some further results in the theory of pedestrians and road traffic', Biometrika 41 (1954), 375–389.

    Article  MathSciNet  MATH  Google Scholar 

  17. J.C. Tanner, ‘The delay to pedestrians crossing a road', Biometrika 38 (1951), 383–392.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. David. G. Kendall
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1967 Springer-Verlag

About this paper

Cite this paper

Kendall, D.G. (1967). Renewal sequences and their arithmetic. In: Symposium on Probability Methods in Analysis. Lecture Notes in Mathematics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061116

Download citation

  • DOI: https://doi.org/10.1007/BFb0061116

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-03902-0

  • Online ISBN: 978-3-540-34970-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation