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 |
. |
Category:
|
math |
. |
MSC:
|
62B99 |
MSC:
|
62F12 |
MSC:
|
62F35 |
MSC:
|
62G35 |
idZBL:
|
Zbl 0837.62007 |
idMR:
|
MR1337985 |
. |
Date available:
|
2009-09-24T18:55:57Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124722 |
. |
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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