Skip to main content

Approaches to weak convergence

  • 312 Accesses

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

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about 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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  Google Scholar 

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

    CrossRef  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

Authors

Editor information

Editors and Affiliations

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