A remark on existence of statistical functionals

Ivan Mizera

Kybernetika (1995)

  • Volume: 31, Issue: 3, page 315-319
  • ISSN: 0023-5954

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Mizera, Ivan. "A remark on existence of statistical functionals." Kybernetika 31.3 (1995): 315-319. <http://eudml.org/doc/27877>.

@article{Mizera1995,
author = {Mizera, Ivan},
journal = {Kybernetika},
keywords = {analytical condition; existence; upper hemicontinuous extension; statistical functional; positive breakdown point property},
language = {eng},
number = {3},
pages = {315-319},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A remark on existence of statistical functionals},
url = {http://eudml.org/doc/27877},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Mizera, Ivan
TI - A remark on existence of statistical functionals
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 3
SP - 315
EP - 319
LA - eng
KW - analytical condition; existence; upper hemicontinuous extension; statistical functional; positive breakdown point property
UR - http://eudml.org/doc/27877
ER -

References

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  1. J.-P. Aubin, H. Frankowska, Set-Valued Analysis, Birkhauser, Boston 1990. (1990) Zbl0713.49021MR1048347
  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. Zbl0523.62032
  3. L. T. Fernholz, Von Mises Calculus for Statistical Functionals, (Lecture Notes in Statistics 19.) Springer, New York 1983. (19.)) MR0713611
  4. J. Hájek, D. Vorlíčková, Mathematical Statistics, Mimeographed lecture notes. SPN, Prague 1977 (in Czech). (1977) 
  5. F. R. Hampel, A general qualitative definition of robustness, Ann. Math. Statist. 42 (1971), 1887-1896. (1971) Zbl0229.62041MR0301858
  6. L. Holá., An extension theorem for continuous functions, Czechoslovak Math. J. 38 (1988), 398-403. (1988) Zbl0684.54012MR0950293
  7. P. J. Huber, Robust Statistics, Wiley, New York 1981. (1981) Zbl0536.62025MR0606374
  8. A. Lechicki, S. Levi, Extensions of semicontinuous multifunctions, Istituto Lombardo (Rend. Sc.) A 122 (1988), 79-85. (1988) Zbl0711.54010MR1053575
  9. A. Lechicki, S. Levi, Extensions of semicontinuous multifunctions, Forum Mathematicum 2 (1990), 341-360. (1990) Zbl0711.54011MR1057877
  10. R. von Mises, On the asymptotic distribution of differentiable statistical functions, Ann. Math. Statist. 18 (1947), 309-348. (1947) Zbl0037.08401MR0022330
  11. J. A. Reeds, On the Definition of von Mises Functionals, Ph.D. Dissertation, Harvard University, Cambridge, MA 1976. (1976) 
  12. K. R. Parthasarathy, Probability Measures on Metric Spaces, Academic Press, New York 1967. (1967) Zbl0153.19101MR0226684

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