Skip to main content
SpringerLink
Log in

Approaches to weak convergence

  • Conference paper
  • First Online:
Multifunctions and Integrands

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1091))

  • 332 Accesses

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

  • Athreya, Krishna B.; McDonald, David and Ney, Peter (1978). Limit theorems for semi-Markov processes and renewal theory for Markov chains. Ann. Probability 6, 788–797.

    Article  MathSciNet  MATH  Google Scholar 

  • Billingsley, Patrick (1968). Convergence of Probability Measures. John Wiley, New York.

    MATH  Google Scholar 

  • Freedman, David (1971). Brownian Motion and Diffusion. Holden-Day, San Francisco.

    MATH  Google Scholar 

  • Gihman, I. I. and Skorohod, A. V. (1974). The Theory of Stochastic Processes I. Springer-Verlag, Berlin.

    Book  MATH  Google Scholar 

  • Griffeath, David (1979). Additive and Cancellative Interacting Particle Systems. Lect. Notes Math. 724, Springer-Verlag, Berlin.

    MATH  Google Scholar 

  • Griffeath, David (1976). Partial coupling and loss of memory for Markov chains. Ann. Probability 4, 850–858.

    Article  MathSciNet  MATH  Google Scholar 

  • Kurtz, Thomas G. (1981). Approximation of Population Processes. CBMS-NSF Regional Conf. Series in Appl. Math., Vol. 36. SIAM, Philadelphia.

    Book  MATH  Google Scholar 

  • Lindvall, Torgny (1973). Weak convergence of probability measures and random functions in the function space D[0, ∞). J. Appl. Prob. 10, 109–121.

    Article  MathSciNet  MATH  Google Scholar 

  • Mase, Shigeru (1979). Random compact convex sets which are infinitely divisible with respect to Minkowski addition. Adv. Appl. Prob. 11, 834–850.

    Article  MathSciNet  MATH  Google Scholar 

  • Pitman, James W. (1974). Uniform rates of convergence for Markov chain transition probabilities. Z. Wahrsch. verw. Gebiete 29, 193–227.

    Article  MathSciNet  MATH  Google Scholar 

  • Prohorov, Yu. V. (1956). Convergence of random processes and limit theorems in probability theory. Theor. Prob. Appl. 1, 157–214.

    Article  MathSciNet  Google Scholar 

  • Skorohod, A. V. (1956). Limit theorems for stochastic processes. Theor. Prob. Appl. 1, 261–290.

    Article  MathSciNet  Google Scholar 

  • Stroock, Daniel W. and Varadhan, S. R. Srinivasa (1979). Multidimensional Diffusion Processes. Springer-Verlag, Berlin.

    MATH  Google Scholar 

  • Watanabe, Shinzo (1968). A limit theorem of branching processes and continuous state branching processes. J. Math. Kyoto Univ. 8, 141–167.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, 53705, Madison, Wisconsin, USA

    Thomas G. Kurtz

Authors
  1. Thomas G. Kurtz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Gabriella Salinetti

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Kurtz, T.G. (1984). Approaches to weak convergence. In: Salinetti, G. (eds) Multifunctions and Integrands. Lecture Notes in Mathematics, vol 1091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098810

Download citation

  • DOI: https://doi.org/10.1007/BFb0098810

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13882-2

  • Online ISBN: 978-3-540-39083-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation