Skip to main content
Log in

Convolutions of random measures on a compact topological semigroup

  • Published:
Journal of Theoretical Probability Aims and scope Submit manuscript

Abstract

We investigate the asymptotic behavior of a sequence of convolutionsv (nω μ 1(ω) *⋯*μ n (ω), where {μ n } n=1 is some random process taking values in a semigroupM 1(S) of probability Borel measures on a compact topological semigroupS.

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.

Similar content being viewed by others

References

  1. Mukherjea, A., and Tserpes, N. (1976).Measures on Topological Semigroups, Lectures Notes in Mathematics, Vol. 547, Springer-Verlag, Berlin.

    Google Scholar 

  2. Heyer, H. (1977).Probability Measures on Locally Compact Groups, Springer-Verlag, Berlin.

    Google Scholar 

  3. Rosenblatt, M. (1971).Markov Processes. Structure and Asymptotic Behavior, Springer-Verlag, Berlin.

    Google Scholar 

  4. Urbanik, K. (1957). On the limiting probability distribution on a compact topological group,Fund. Math. 44, 253–261.

    Google Scholar 

  5. Bloom, R., and Heyer, H. (1982). Convergence of convolution products of probability measures on hypergroups,Rend. Mat. 2(3), ser. VII, 547–563.

    Google Scholar 

  6. Mindlin, D. S., and Rubstein, B. A. (1988). Convolutions of random measures on a compact group,Theory Prob. Appl., 1988, to appear.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mindlin, D.S. Convolutions of random measures on a compact topological semigroup. J Theor Probab 3, 181–197 (1990). https://doi.org/10.1007/BF01045157

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01045157

Key Words

Navigation