Skip to main content
SpringerLink
Log in

Rosenthal type inequalities forB-valued strong mixing random fields and their applications

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Some inequalities for moments of partial sums of aB -valued strong mixing field are established and their applications to the weak and strong laws of large numbers and the complete convergences are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lin, Z. Y., Lu, C. R.,Limit Theory on Mixing Random Variables, Dordrecht-Beijing: Kluwer Academic Publishers and Science Press, 1997.

    Google Scholar 

  2. Bradkey, R. C., On the spectral density and asymptotic normality of dependence between random variables,J. Theoret. Probab., 1992. 5: 355.

    Article  MathSciNet  Google Scholar 

  3. Miller, C., Three theorems on random fields with ρ*-mixing,J. Theoret. Probab., 1994, 7: 867.

    Article  MATH  MathSciNet  Google Scholar 

  4. Miller, C., A CLT for periodograms of a ρ*-mixing random field,Stoch. Processes Appl., 1995, 60: 313.

    Article  MATH  Google Scholar 

  5. Triebel, H.,Interpolation Theory, Function Space, Differential Operators, Amsterdam-New York-Oxeford: North-Holland Publishing Company, 1978.

    Google Scholar 

  6. Bryc, W., Smolenski, W., Moment conditions for almost sure convergence of weakly correlated random variables,Proc. Amer. Math. Soc., 1993, 119: 629.

    Article  MATH  MathSciNet  Google Scholar 

  7. Ledoux, M., Talagrand, M.,Probability in Banach Spaces: Isoperimetry and Processes, Berlin-New York: Springer-Verlag, 1991.

    MATH  Google Scholar 

  8. Móricz, F., A general moment inequality for the maximum of partial sums of single series,Acta. Sci. Math., 1982, 44:67.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Hangzhou University, 310028, Hangzhou, China

    Lixin Zhang

Authors
  1. Lixin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19701011) and China Postdoctoral Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, L. Rosenthal type inequalities forB-valued strong mixing random fields and their applications. Sci. China Ser. A-Math. 41, 736–745 (1998). https://doi.org/10.1007/BF02901956

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02901956

Keywords

Search

Navigation