20
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Simple construction of least favourable pairs of distributions and of robust tests for prokhorov-neighbourhoods

Pages 33-46 | Received 01 Jul 1980, Published online: 04 Mar 2011

References

  • Huber , P.J. and Strassen , V. 1973 . Minimax tests and Neyman-Pearson lemma for capacities . Ann. Statist , 1 : 251 – 263 . and Ann. Statist. 2, 223-224 (1974)
  • Choquet , G. 1973 . Theory of capacities . Ann. Inst. Fourier , 5 : 131 – 292 .
  • Choquet , G. 1959 . Forme abstraite du théoréme de capacitabilité . Ann. Inst. Fourier , 9 : 83 – 89 .
  • Lehmann , E.L. Testing Statistical Hypotheses , New York : Wiley .
  • Österreicher , F. 1978 . On the construction of leasts favourable pairs of distributions . Z. Wahrscheinlichkeitstheorie verw. Gebiete , 43 : 49 – 55 .
  • Hafner R. Construction of least favourable pairs of distributions and of robust tests for contamination-neighbourhood To appear
  • Österreicher F. The construction of least favourable distributions is traceable to a minimal perimeter problem To appear
  • Rieder , H. “ Pobuste Tests ” . In Diplomarbeit Freiburg
  • Sendler , W. 1971 . Einige maBtheoretische Sätze bei der Behandlung trennscharfer Tests . Z. Wahrscheinlichkeitstheorie verw. Gebiete , 18 : 183 – 196 .
  • österreicher , F. and Thaler , M. 1978 . The fundamental Neyman-Pearson lemma and the Radon-Nikodyni theorem from a common point of view . Int. J. Math. Educ. Sci. Technol , 9 : 163 – 176 .
  • Bauer , H. 1978 . Wahrseheinlichkeitstheorie und Grundzüge der Maßtheorie , Berlin, New York : De Gruyter .
  • Rieder , H. “ Zur finiten und asymptotischen Theorie robuster Tests ” . In Dissertation Freiburg

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.