Abstract
Explicit formulas for the optimal test statistics are given in the case of an asymptotic minimax test problem with neighbourhoods generated by a class of special capacities.
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Bednarski, T. On solutions of minimax test problemes for special capacities. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete. 58 (1981), 397–405.
Bednarski, T. A robust asymptotic testing model for special capacities. Preprint No 268 of the Institute of Mathematics of the Polish Academy of Sciences (1983).
Buja, A. Sufficiency, least favourable experiments and robust tests. PhD thesis, ETH, Zürich (1980).
Huber-Carol, C. Etude asymptotique de tests robustes. PhD thesis, ETH, Zürich (1970).
Huber, P. J. and Strassen, V. Minimax tests and the Neyman-Pearson lemma for capacities. Ann. Statist. 1 (1973), 251–263.
Rieder, H. A robust asymptoic testing model. Anm. Statist. 6 (1978), 1080–1094.
Rieder, H. Estimates derived from robust tests. Ann. Statist. 8 (1980), 106–115.
Ronchetti, E. Robust testing in linear models: The infinitesimal approach. PhD thesis, ETH, Zürich (1982).
Rousseeuw, P. J. and Ronchetti, E. The influence curve for tests. Research report 21, Fachgruppe fuer Statistik, ETH, Zürich (1979).
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© 1984 Academy of Agricultural Sciences of the GDR, Research Centre of Animal Production, Dummerstorf-Rostock, DDR 2551 Dummerstorf.
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Bednarski, T. (1984). Note About Solutions of Asymptotic Minimax Test Problems for Special Capacities. In: Rasch, D., Tiku, M.L. (eds) Robustness of Statistical Methods and Nonparametric Statistics. Theory and Decision Library, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6528-7_3
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DOI: https://doi.org/10.1007/978-94-009-6528-7_3
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