Skip to main content
SpringerLink
Log in

On the Compactness of Vector-Valued Transition Measures

  • Chapter
Transactions of the Eighth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 8A))

  • 102 Accesses

Abstract

A space of vector-valued transition measures is introduced and certain weak topologies are defined on this space. Some compactness results are given which also generalize and unify known results for the scalar case. An application in the context of decision theory is given.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Batt, J. (1974): On weak compactness in spaces of vector-valued measures and Bochner-integrable functions in connection with the Radon-Nikodym property of Banach spaces. Rev. Roum. Math. Pures Appl. 19 (1974), 285–304.

    MATH  MathSciNet  Google Scholar 

  • de Korvin, A. and R.J. Easton (1971): Some representation theorems. Rocky Mountain J. Math. 1(1971), 561–573.

    MATH  Google Scholar 

  • Dinculeanu, N. (1967): Vector Measures. Pergamon Press, Oxford 1967.

    Google Scholar 

  • Farrell, R.H. (1967): Weak limits of sequences of Bayes procedures in estimation theory. Proc. Fifth Berkeley Symposium Math. Stat. Prob., Vol. 1(1967), 83–112.

    MathSciNet  Google Scholar 

  • Ionescu Tulcea, A. and C. Ionescu Tulcea (1969): Topics in the Theory of Lifting. Springer-Verlag, Berlin 1969.

    MATH  Google Scholar 

  • Kluvánek, I. and G. Knowles (1975): Vector Measures and Control Systems. North-Holland Mathematics Studies 20, Amsterdam 1975.

    Google Scholar 

  • LeCam, L. (1964): Sufficiency and approximate sufficiency. Ann. Math. Stat. 35(1964), 1419–1456.

    Article  MathSciNet  Google Scholar 

  • Nölle, G. and D. Plachky (1967): Zur schwachen Folgenkompaktheit von Testfunktionen. Z. Wahrscheinlichkeitstheorie verw. Geb. 8(1967), 182–184.

    Article  MATH  Google Scholar 

  • Parthasarathy, K.R. (1967): Probability Measures on Metrie Spaces. Academic Press, New York 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematische Statistik, Westfälischen Wilhelms-Universität Münster, Roxeler Straße 64, Münster, D-44, Germany

    Albrecht Irle

Authors
  1. Albrecht Irle
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1978 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

About this chapter

Cite this chapter

Irle, A. (1978). On the Compactness of Vector-Valued Transition Measures. In: Transactions of the Eighth Prague Conference. Czechoslovak Academy of Sciences, vol 8A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9857-5_30

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9857-5_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9859-9

  • Online ISBN: 978-94-009-9857-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation