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Title: A remark on existence of statistical functionals (English)
Author: Mizera, Ivan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 31
Issue: 3
Year: 1995
Pages: 315-319
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Category: math
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MSC: 62B99
MSC: 62F12
MSC: 62F35
MSC: 62G35
idZBL: Zbl 0837.62007
idMR: MR1337985
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Date available: 2009-09-24T18:55:57Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124722
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Reference: [1] J.-P. Aubin, H. Frankowska: Set-Valued Analysis.Birkhauser, Boston 1990. Zbl 0713.49021, MR 1048347
Reference: [2] D. L. Donoho, P. J. Huber: The notion of breakdown point.In: Festschrift in Honor of Erich Lehmann (K. Doksum and J. L. Hodges, eds.), Wadsworth, Belmont, CA. Zbl 0523.62032
Reference: [3] L. T. Fernholz: Von Mises Calculus for Statistical Functionals.(Lecture Notes in Statistics 19.) Springer, New York 1983. MR 0713611
Reference: [4] J. Hájek, D. Vorlíčková: Mathematical Statistics.Mimeographed lecture notes. SPN, Prague 1977 (in Czech).
Reference: [5] F. R. Hampel: A general qualitative definition of robustness.Ann. Math. Statist. 42 (1971), 1887-1896. Zbl 0229.62041, MR 0301858
Reference: [6] L. Holá.: An extension theorem for continuous functions.Czechoslovak Math. J. 38 (1988), 398-403. Zbl 0684.54012, MR 0950293
Reference: [7] P. J. Huber: Robust Statistics.Wiley, New York 1981. Zbl 0536.62025, MR 0606374
Reference: [8] A. Lechicki, S. Levi: Extensions of semicontinuous multifunctions.Istituto Lombardo (Rend. Sc.) A 122 (1988), 79-85. Zbl 0711.54010, MR 1053575
Reference: [9] A. Lechicki, S. Levi: Extensions of semicontinuous multifunctions.Forum Mathematicum 2 (1990), 341-360. Zbl 0711.54011, MR 1057877
Reference: [10] R. von Mises: On the asymptotic distribution of differentiable statistical functions.Ann. Math. Statist. 18 (1947), 309-348. Zbl 0037.08401, MR 0022330
Reference: [11] J. A. Reeds: On the Definition of von Mises Functionals.Ph.D. Dissertation, Harvard University, Cambridge, MA 1976.
Reference: [12] K. R. Parthasarathy: Probability Measures on Metric Spaces.Academic Press, New York 1967. Zbl 0153.19101, MR 0226684
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