Skip to main content
Log in

Weak convergence of probability measures in the spaces of continuously differentiable functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. P. Billingsley, Convergence of Probability Measures [Russian translation], Nauka, Moscow (1977).

    Google Scholar 

  2. A. N. Kolmogorov, Information Theory and the Theory of Algorithms [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. Yu. V. Prokhorov, “Convergence of random processes and limit theorems in probability theory,” Teor. Veroyatnost. i Primenen.,1, No. 2, 178–238 (1956).

    Google Scholar 

  4. S. M. Prigarin, “On weak convergence of approximate models of Gaussian random fields,” in: Theory and Application of Statistical Modeling [in Russian], Nauka, Novosibirsk, 1988, pp. 31–39.

    Google Scholar 

  5. N. C. Jain and M. B. Marcus, “Central limit theorems forC(S)-valued random variables,” J. Funct. Anal.,19, No. 3, 216–231 (1975).

    Google Scholar 

  6. A. S. Frolov and N. N. Chentsov, “Use of dependent tests in the Monte Carlo method for obtaining smooth curves,” in: Proceed. Sixth All-Union Conference on Probability Theory and Mathematical Statistics [in Russian], Vil'nyus, 1962, pp. 425–437.

  7. G. A. Mikhaîlov, Optimization of Weighted Monte Carlo Methods [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  8. A. V. Voîtishek, “On differential conditions for weak convergence of stochastic estimates and models,” in: Methods of Statistical Modeling [in Russian], Nauka, Novosibirsk, 1986, pp. 35–52.

    Google Scholar 

  9. S. M. Prigarin, Approximate Modeling of Gaussian Homogeneous fields on the Basis of a Spectral Representation [in Russian], Preprint No. 876. Akad. Nauk SSSR Sibirsk. Otdel., Vychisl. Tsentr, Novosibirsk (1989).

    Google Scholar 

  10. S. M. Prigarin, “Asymptotic effectiveness of estimates in the method of dependent tests,” in: Abstracts: Eighth All-Union Conference on Monte Carlo Methods in Numerical Mathematics and Mathematical Physics. Part 1 [in Russian], Novosibirsk, 1991, pp. 94–96.

Download references

Authors

Additional information

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 1, pp. 140–144, January–February, 1993

Translated by I. G. Belinskaya

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prigarin, S.M. Weak convergence of probability measures in the spaces of continuously differentiable functions. Sib Math J 34, 123–127 (1993). https://doi.org/10.1007/BF00971248

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971248

Keywords

Navigation