Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
A note on conditional Fatou Lemma
Download PDF
Download PDF
  • Published: March 1988

A note on conditional Fatou Lemma

  • Wiesław Zieba1 

Probability Theory and Related Fields volume 78, pages 73–74 (1988)Cite this article

  • 150 Accesses

  • 2 Citations

  • Metrics details

Summary

In [4] Zheng Wei-an showed that Fatou's Lemma as presented in the book by Liptser and Shiryayev does not hold true. This paper presents a condition under which this Lemma does hold true.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

References

  1. Liptser, R.S., Shiryayev, A.N.: Statistics of Random Processes I. Berlin Heidelberg New York: Springer 1978

    Google Scholar 

  2. Neveu, J.: Discrete-parameter martingales. Amsterdam New York: Elsevier 1975

    Google Scholar 

  3. Szynal, D., Zieba, W.: On some characterization of almost sure convergence. Bull. Acad. Polon. Sci. Ser. Sci. Math.34, 635–642 (1986)

    Google Scholar 

  4. Zheng, Wei-an.: A note on the convergence of sequence of conditional expectations of random variables. Z. Wahrscheinlichkeitstheor. Verw. Geb.53, 291–292 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031, Lublin, Poland

    Wiesław Zieba

Authors
  1. Wiesław Zieba
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Zieba, W. A note on conditional Fatou Lemma. Probab. Th. Rel. Fields 78, 73–74 (1988). https://doi.org/10.1007/BF00718036

Download citation

  • Received: 05 June 1987

  • Revised: 11 December 1987

  • Issue Date: March 1988

  • DOI: https://doi.org/10.1007/BF00718036

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Fatou Lemma
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature