Skip to main content
Log in

On the existence of least favorable contents

  • Published:
Archiv der Mathematik 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.

References

  1. V. Baumann, Eine parameterfreie Theorie der ungünstigsten Verteilungen für das Testen von Hypothesen. Z. Wahrscheinlichkeitstheorie verw. Geb.11, 41–60 (1968).

    Google Scholar 

  2. G. B. Dantzig andA. Wald, On the fundamental lemma of Neyman and Pearson. Ann. Math. Stat.22, 87–93 (1951).

    Google Scholar 

  3. L. E.Dubins and L. J.Savage, How to gamble if you must. New York 1965.

  4. N.Dunford and J. T.Schwartz, Linear Operators, Part 1. New York 1958.

  5. W.Hoeffding, Optimum non-parametric tests. Proc. Second Berkeley Symp. Math. Stat. Prob., 83–92 (1951).

  6. L.Hurwicz and H.Uzawa, A note on the Lagrangian saddle points. In: Studies in linear and non-linear programming, 103–113. Stanford 1958.

  7. O. Krafft, Eine symmetrische Behandlung des Testproblems. Arch. Math.18, 545–560 (1967).

    Google Scholar 

  8. O. Krafft undH. Witting, Optimale Tests und ungünstigste Verteilungen. Z. Wahrscheinlichkeitstheorie verw. Geb.7, 289–302 (1967).

    Google Scholar 

  9. E. L.Lehmann, Testing statistical hypotheses. New York 1959.

  10. E. L. Lehmann, On the existence of least favorable distributions. Ann. Math. Stat.23, 408–416 (1952).

    Google Scholar 

  11. G.Nölle, Zur Theorie der bedingten Tests. Ph. D. Thesis. Univ. of Münster (1966).

  12. J.Pfanzagl, On the existence of product measurable densities. To appear.

  13. Yu. V. Prohorov, Convergence of random processes and limit theorems in probability theory (Russian). Teor. Verojatnost. i Primenen.1, 177–238 (1956). English translation in Theor. Prob. and Appl.1, 157–214 (1956).

    Google Scholar 

  14. A.Wald, Statistical Decision Functions. New York 1950.

  15. H.Witting, Mathematische Statistik. Stuttgart 1966.

  16. K. Yosida andE. Hewitt, Finitely additive measures. Trans. Amer. Math. Soc.72, 46–66 (1952).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was done when the author was R. A. at the University of North Carolina. It was supported in part by the Air Force Office of Scientific Research, Contract No. AF-AFOSR-760-65.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krafft, O. On the existence of least favorable contents. Arch. Math 20, 72–80 (1969). https://doi.org/10.1007/BF01898994

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01898994

Navigation