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Title: Asymptotic efficiency and robustness of $D$-estimators (English)
Author: Vajda, Igor
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 20
Issue: 5
Year: 1984
Pages: 358-375
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Category: math
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MSC: 62F12
MSC: 62F35
MSC: 62G20
MSC: 62H12
idZBL: Zbl 0599.62039
idMR: MR776326
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Date available: 2009-09-24T17:42:36Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124488
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Reference: [1] J. Anděl: Mathematical Statistics.(in Czech). SNTL - Alfa, Praha-Bratislava 1978.
Reference: [2] D. F. Andrews P. J. Bickel F. R. Hampel P. J. Huber W. H. Rogers, J. W. Turkey: Robust Estimates of Location.Princeton Univ. Press, Princeton 1972.
Reference: [3] D. D. Boos: Minimum distance estimators for location and goodness of fit.J. Amer. Statist. Assoc. 76 (1981), 663-670. Zbl 0475.62030, MR 0629752
Reference: [4] J. Grim: An algorithm for maximizing a finite sum of positive functions and its application to cluster analysis.Problems Control Inform. Theory 10 (1981), 427-437. Zbl 0476.65100, MR 0643728
Reference: [5] F. Hampel: The influence curve and its role in robust estimation.J. Amer. Statist. Assoc. 69 (1974), 383-393. Zbl 0305.62031, MR 0362657
Reference: [6] P. J. Huber: Robust estimation of a location parameter.Ann. Math. Statist. 35 (1964), 73-101. Zbl 0136.39805, MR 0161415
Reference: [7] J. W. Tukey: Exploratory Data Analysis.Addison-Wesley, Reading 1970.
Reference: [8] I. Vajda: Minimum divergence principle in statistical estimation.Statistics and Decisions 2 (1984), to appear. Zbl 0558.62004, MR 0785211
Reference: [9] I. Vajda: Motivation, existence and equivariance of D-estimators.Kybernetika 20 (1984), 3, 189-208. Zbl 0558.62026, MR 0763646
Reference: [10] I. Vajda: Consistency of D-estimators.Kybernetika 20 (1984), 4, 283-303. Zbl 0599.62038, MR 0768509
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