A motivation for 1/√n-shrinking neighborhoods

Metrika

Volumn 63, Issue 3, 2006, Pages 295-307

  Ruckdeschel, Peter ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Asymptotics; Maximin test; Outlier probability; Robustness; Shrinking neighborhoods

Indexed keywords

EID: 33646471524     PISSN: 00261335     EISSN: 1435926X     Source Type: Journal    
DOI: 10.1007/s00184-005-0020-0     Document Type: Article

References (10)

1. Bickel P (1981) Quelques aspects de la statistique robuste. In: Ecole d'été de probabilites de Saint-Flour IX-1979, Nr. 876 in Lecture Notes in Mathematics pp 2-72
2. Hoeffding W (1956) The role of assumptions in statistical decisions. In: Proceedings of the 3rd Berkeley Symposium in Mathematical Statistics and Probability 1, pp 105-114
3. Hoeffding W, Wolfowitz J (1958) Distinguishabilily of sets of distributions. Ann Math Stat 29:700-718
4. Huber-Carol C (1986) Théorie de la robustesse. (Theory of robustness). In: Probability and statistics, Lect. Winter Sch., Santiago de Chile, Nr. 1215 in Lecture Notes in Mathematics, pp 1-128
5. Huber PJ (1997) Robust statistical procedures. In: CBMS-NSF regional conference series in applied mathematics, vol 68, 2nd edn. SIAM, Society for industrial and applied mathematics, Philadelphia, PA
6. Janssen A (2000) Global power functions of goodness of fit tests. Ann Stat 28(1):239-253
7. Rieder H (1977) Least favorable pairs for special capacities. Ann Stat 5:909-921
8. Rieder H (1978) A robust asymptotic testing model. Ann Stat 6:1080-1094
9. Rieder H (1994) Robust asymptotic statistics. In: Springer series in statistics. Springer, Berlin Heidelberg New York
10. Witting H (1985) Mathematische Statistik I: Parametrische Verfahren bei festem Stichprobenumfang. BG Teubner, Stuttgart